Find the equation of the line through (4, -7) parallel to the y-axis.
6 years 10 months ago
Circle a has circumference numerically equal to its area. If the certain square has the same area with the circle a, then what would be the length of its sides?
6 years 10 months ago
An arch 18 m high has a form of a parabola with a vertical axis. The length of a horizontal beam placed across the arch 8 m from the top is 64 m. Find the width at the bottom.
6 years 10 months ago
The ratio of two numbers is 6:7. If the large number is 42, what number is the smaller one?
6 years 10 months ago
Point (3, 4) is the center of the circle that is tangent to the x-axis. What is the point of tangency?
6 years 10 months ago
A large sewer system will cost P8,750,000 annually. There will be favorable consequences to the general public of P25,000,000 annually and adverse consequences to a small segment of the public of P2,500,000 annually. What is the benefit to cost ratio?
6 years 10 months ago
A highway has a gradient of 0.087. How many meters would an automobile rise vertically if it traveled 2 miles along the way?
6 years 10 months ago
When an irregular shaped object is placed in a cylindrical vessel of water whose radius is 8 cm, the water rises 6 cm. What is the volume of the rock if it is completely submerged?
6 years 10 months ago
The front wheel of a bicycle has a diameter of 50 cm. Approximately how many times has the front wheel turned if the bicycle has traveled 1 km?
6 years 10 months ago
In a company meeting, coffee and cake were served during the break. Of the 50 people who attended the meeting, 30 ate cake while 34 took coffee.
6 years 10 months ago
Find x if the point (x, 2) is equidistant from (3, 2) and (7, 2).
6 years 10 months ago
A product has a current selling price of P325. If its selling price is expected to decline at the rate of 10% per annum because of obsolescence, what will be its selling price four years hence?
6 years 10 months ago
Ernie’s average in 6 subjects is 83. If his lowest grade is disregarded, his remaining subject is 84. What is his lowest grade?
6 years 10 months ago
Quiz: Random Problems 03
6 years 10 months ago
Quiz: Random Problems Set 3
6 years 10 months ago
What annuity over a 10 year period at 8% interest is equivalent to a present worth of P10,000?
6 years 11 months ago
A car that accelerates uniformly passes at point A with a speed of 30 kph. It reaches point B, 21 km from A, after 18 minutes. Find the acceleration of the car.
6 years 11 months ago
A hollow glass bowl in the shape of a sphere of radius 4” is filled with water to a depth of 3”. If the water flows out through a small hole in the bottom so that the level drops 2”, how much water has escaped in in^3?
6 years 11 months ago
A cone was formed by rolling a thin sheet of metal in a form of a sector of a circle 72 cm in diameter with a central angle of 150 deg. Find the volume of the cone.
6 years 11 months ago
Determine the radius of the circle tangent to the coordinate axes and to another circle with center at (5, 5) and of radius 5.
6 years 11 months ago
Find the volume generated by revolving the area on the 1st and 4th quadrants by the ellipse y^2 / 9 + x^2 / 4 = 1 about the line x = 3.
6 years 11 months ago
Water is flowing into a conical cistern at the rate of 5 m^3/min. The height of the cone is 10 m and the radius of the upper base 5 m.
6 years 11 months ago
Find the length of the latus rectum of the following ellipse: 25x^2 + 9y^2 - 300x - 144y + 1251 = 0.
6 years 11 months ago
What time after 3:00 o’clock would the hour-hand and the minute-hand of a continuously driven clock subtends an angle of 45deg; for the second time?
6 years 11 months ago
A right spherical triangle ABC of a sphere of radius 50 cm has angle C = 90 deg, A = 56 deg and side b = 47 deg. Find the area of the triangle in square centimeter.
6 years 11 months ago
The total surface area of a closed cylindrical tank is 153.94 square meter. If the volume is to be maximum, what is its height in meters.
6 years 11 months ago
Find the area bounded by the y-axis and the lines y = 6x - 1 and y = 0.25x + 3.
6 years 11 months ago
A time deposits of P110,000 for 31 days earns P890.39 on maturity date after deducting the 20% withholding tax on interest income. Find the rate of interest per annum.
6 years 11 months ago
A trough has an open top 0.30 m by 6 m and closed vertical ends which are equilateral triangles 30 cm on each side. It is filled with water to half its depth. Find the volume of water in cubic meters.
6 years 11 months ago
Find the angle subtended by the line segment through (0, 0, 0) and (3, 8, 5) from the xy-plane.
6 years 11 months ago
Quiz: Random Problems 02
6 years 11 months ago
Quiz: Random Problems Set 4
6 years 11 months ago
Find the compounded interest of P7,000 for 10 years at 6% compounded monthly.
6 years 11 months ago
In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution?
6 years 11 months ago
What is the full capacity in cubic meter of a water tank having the shape of a frustum of a pyramid with lower and upper base areas of 32 m^2 and 8 m^2 and altitude of 6 m?
6 years 11 months ago
A stone is projected from the ground with a velocity of 15 m/s at an angle of 30 deg; with the horizontal ground. How high will it rise?
6 years 11 months ago
A pipe can alone fill a tank in 5 hours, while a drain could do the contrary in 12 hours.
6 years 11 months ago
Company X has a fixed expense of P1.5M monthly and each unit is produced at P20
6 years 11 months ago
What is the integral of (3 cos^5 x) dx with limits from 0 to pi/2.
6 years 11 months ago
At what value of x will the slope of the curve x^3 - 9x - y = 0 be 18?
6 years 11 months ago
The volume of the sphere is 7238 m^3, find the radius.
6 years 11 months ago
Find the perimeter of the ellipse with major-axis = 10 and minor-axis = 8.
6 years 11 months ago
The sum of the interior angles of a polygon of n sides is four times the sum of its exterior angles. Find the value of n.
6 years 11 months ago
What is the length of the latus rectum of the curve y^2 = -16x?
6 years 11 months ago
What is the equation of the line with y-intercept = 2 and slope = -3?
6 years 11 months ago
How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?
6 years 11 months ago
Solve for x: log_3 67 = 2x.
6 years 11 months ago
Quiz: Random Problems 01
6 years 11 months ago
Quiz: Random Problems Set 1
6 years 11 months ago
Nice Profile Picture
6 years 11 months ago