{"introPage":{"showIntroPage":false,"startButtonText":"Start Quiz","introduction":""},"progressType":"dots","passPercentage":50,"disableBackwardsNavigation":false,"randomQuestions":false,"endGame":{"showResultPage":true,"showSolutionButton":true,"showRetryButton":true,"noResultMessage":"Finished","message":"Your result:","scoreBarLabel":"You got @finals out of @totals points","overallFeedback":[{"from":0,"to":100}],"solutionButtonText":"Show solution","retryButtonText":"Retry","finishButtonText":"Finish","submitButtonText":"Submit","showAnimations":false,"skippable":false,"skipButtonText":"Skip video"},"override":{"checkButton":true},"texts":{"prevButton":"Previous question","nextButton":"Next question","finishButton":"Finish","submitButton":"Submit","textualProgress":"Question: @current of @total questions","jumpToQuestion":"Question %d of %total","questionLabel":"Question","readSpeakerProgress":"Question @current of @total","unansweredText":"Unanswered","answeredText":"Answered","currentQuestionText":"Current question","navigationLabel":"Questions"},"questions":[{"library":"H5P.MultiChoice 1.16","params":{"question":"

For a spherical triangle: A = 63\u00b0 19.6\u2019; b = 124\u00b0 17.8\u2019; and c = 83\u00b0 16.6\u2019, find a.<\/p>\n","answers":[{"text":"72\u00b0 24.9\u2019","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"72\u00b0 24.1\u2019","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"72\u00b0 24.7\u2019","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"72\u00b0 24.4\u2019","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"dc34f674-c2a7-4daf-b514-834126846265","metadata":{"contentType":"Multiple Choice","license":"U","title":"For a spherical triangle: A = ..."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"

Three adjacent faces of a rectangular parallelepiped measures 8 square inches, 10 square inches, and 20 square inches, respectively. Find its volume.<\/p>\n","answers":[{"text":"

40 in^{3<\/sup><\/div>\n","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"60 in^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"50 in^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"70 in^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"10dd9df1-e14c-448a-9726-38cd5396f81f","metadata":{"contentType":"Multiple Choice","license":"U","title":"Three adjacent faces of a rectangular parallelepiped measures ..."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"A Ferris wheel, 9 m in radius, is rotating such that the riders will experience zero gravity at the topmost part of the wheel. How many revolutions it made in every minute?<\/p>\n","answers":[{"text":"8.32","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"10.15","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"9.97","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"11.61","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"19999a8d-2da1-4ae5-bec8-7889473afd11","metadata":{"contentType":"Multiple Choice","license":"U","title":"A Ferris wheel, 9 m in radius, is rotating such that the riders will experience zero gravity at ..."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
How many three-digit even numbers can be made out from the digits 1, 2, 3, 4, 5, 6, and 7 if repetition of digit is not allowed?<\/p>\n","answers":[{"text":"80","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"90","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"75","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"85","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"bc2c2737-c51b-4c90-851f-abf101ba0c97","metadata":{"contentType":"Multiple Choice","license":"U","title":"How many three-digit even numbers can be made out from the digits ..."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
An altar for ancient rituals is in the form of a cube of edge 1.5 m. If you double the size of the cube, what will be the dimension of its edges?<\/p>\n","answers":[{"text":"2 m","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"3.6 m","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"3 m","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"2.6 m","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"e3965368-6b5b-4f68-8ce7-00082dde217c","metadata":{"contentType":"Multiple Choice","license":"U","title":"An altar for ancient rituals is in the form of a cube of edge 1.5 m. If you ..."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
Determine the coordinates of the center of the circle defined by the equation x^{2<\/sup> + y^{2<\/sup> + 4x \u2013 6y \u2013 12 = 0.<\/p>\n","answers":[{"text":"(\u20133, 2)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(3, \u20132)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(2, \u20133)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(\u20132, 3)","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"34974133-daef-4430-adb0-3594acfeba22","metadata":{"contentType":"Multiple Choice","license":"U","title":"Determine the coordinates of the center of the circle defined by the equation ..."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"}}
Compute the cost of lumber necessary to resurface a foot-bridge 16 feet wide and 150 feet long with 2-inches planks, if lumber is P48.00 per board foot.<\/p>\n","answers":[{"text":"P200,450.00","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"P315,700.00","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"P340,100.00","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"P230,400.00","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"4558571d-f0b5-440e-99d2-1feb4d793dd2","metadata":{"contentType":"Multiple Choice","license":"U","title":"Compute the cost of lumber necessary to resurface a foot-bridge 16 feet wide and ..."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
A line on the xy-plane has an equation 5x + 12y = 60. A uv-plane of the same origin has its u-axis rotated at an angle of +arctan (4\/3) from the x-axis.<\/p>\n\n
Find the uv-coordinates of the y-intercept of the given line.<\/p>\n","answers":[{"text":"(4, 3)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(5, 4)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(4, 5)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(3, 4)","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"de065f7b-f091-4ea5-8b04-2b2a10c6a4b8","metadata":{"contentType":"Multiple Choice","license":"U","title":"A uv-plane: Find the uv-coordinates of the y-intercept of the given line."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
A line on the xy-plane has an equation 5x + 12y = 60. A uv-plane of the same origin has its u-axis rotated at an angle of +arctan (4\/3) from the x-axis.<\/p>\n\n
Find the uv-coordinates of the x-intercept of the given line.<\/p>\n","answers":[{"text":"(36\/5, \u201348\/5)","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(19\/5, \u201337\/5)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(27\/5, \u201352\/5)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"(41\/5, \u201339\/5)","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"60c137fa-ec4e-4202-a625-7bcd619961ca","metadata":{"contentType":"Multiple Choice","license":"U","title":"A uv-plane: Find the uv-coordinates of the x-intercept of the given line."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
A line on the xy-plane has an equation 5x + 12y = 60. A uv-plane of the same origin has its u-axis rotated at an angle of +arctan (4\/3) from the x-axis.<\/p>\n\n
Find the equation of the given line in the uv-plane.<\/p>\n","answers":[{"text":"63u + 16v = 300","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"68u + 21v = 288","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"21u + 68v = 288","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"16u + 63v = 300","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"7ec411b1-9e1d-4e36-b52f-4b5960afdf0f","metadata":{"contentType":"Multiple Choice","license":"U","title":"A uv-plane: Find the equation of the given line in the uv-plane."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
The following is a set of notes of the earthwork of a road embankment.<\/p>\n\n
See TABLE 1<\/strong> below<\/p>\n\n
If the width of roadway is 12 m and the side slope is 2:1, determine the volume of earthwork by end area.<\/p>\n","answers":[{"text":"
17,352 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"16,625 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"18,234 m^{3<\/sup><\/div>\n","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"17,055 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"614341cc-07fb-406e-af9a-31170be75245","metadata":{"contentType":"Multiple Choice","license":"U","title":"Earthwork of a road embankment: determine the volume by end area."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"The following is a set of notes of the earthwork of a road embankment.<\/p>\n\n
See TABLE 1<\/strong> below<\/p>\n\n
If the width of roadway is 12 m and the side slope is 2:1, determine the volume of earthwork by prismoidal formula.<\/p>\n","answers":[{"text":"
16,625 m^{3<\/sup><\/div>\n","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"17,352 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"18,234 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"17,055 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"7c31f049-c4ac-493f-96d3-19337fd15809","metadata":{"contentType":"Multiple Choice","license":"U","title":"Earthwork of a road embankment: determine the volume by prismoidal formula."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"The following is a set of notes of the earthwork of a road embankment.<\/p>\n\n
See TABLE 1<\/strong> below<\/p>\n\n
If the width of roadway is 12 m and the side slope is 2:1, determine the volume of earthwork by prismoidal correction formula.<\/p>\n","answers":[{"text":"
18,352 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"17,055 m^{3<\/sup><\/div>\n","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"16,625 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"17,352 m^{3<\/sup><\/div>\n","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"f32cfff8-617f-499c-90d5-9eaa71b6aeff","metadata":{"contentType":"Multiple Choice","license":"U","title":"Earthwork of a road embankment: determine the volume by prismoidal correction formula."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"For vectors A<\/strong> = 8i<\/strong> + 4j<\/strong> \u2013 2k<\/strong> and B<\/strong> = 2j<\/strong> + 6k<\/strong>. Find the magnitude of the sum A<\/strong> + B<\/strong>.<\/p>\n","answers":[{"text":"10.77","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"13.22","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"11.66","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"12.44","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"db96cca1-0fcd-415e-95b6-2034b7a522eb","metadata":{"contentType":"Multiple Choice","license":"U","title":"For A = 8i + 4j \u2013 2k and B = 2j + 6k: Find A + B."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
For vectors A<\/strong> = 8i<\/strong> + 4j<\/strong> \u2013 2k<\/strong> and B<\/strong> = 2j<\/strong> + 6k<\/strong>. Find the dot-product A<\/strong> \u22c5 B<\/strong>.<\/p>\n","answers":[{"text":"\u20135","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"4","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"5","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"\u20134","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"d253a6cf-e2a3-4203-afbc-cd1b18bbe4f0","metadata":{"contentType":"Multiple Choice","license":"U","title":"For A = 8i + 4j \u2013 2k and B = 2j + 6k: Find A \u22c5 B."}},{"library":"H5P.MultiChoice 1.16","params":{"question":"
For vectors A<\/strong> = 8i<\/strong> + 4j<\/strong> \u2013 2k<\/strong> and B<\/strong> = 2j<\/strong> + 6k<\/strong>. Find the magnitude of the cross-product A<\/strong> \u00d7 B<\/strong>.<\/p>\n","answers":[{"text":"86.32","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"66.77","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"57.83","correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}},{"text":"100.04","correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""}}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"media":{"disableImageZooming":false},"overallFeedback":[{"from":0,"to":100}],"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"}},"subContentId":"cc1123ab-441a-42dd-a213-59de74fa5e33","metadata":{"contentType":"Multiple Choice","license":"U","title":"For A = 8i + 4j \u2013 2k and B = 2j + 6k: Find A \u00d7 B."}}]}}}}}}}}}}}}}}}}}

Sta 5 + 040
$\dfrac{12}{-3}$	$-5$	$\dfrac{24}{-9}$
Sta 5 + 140
$\dfrac{15}{-4.5}$	$-7$	$\dfrac{30}{-12}$