A rectangle ABCD which measures 18 by 24 units is folded once, perpendicular to diagonal AC, so that the opposite vertices A and C coincide. Find the length of the fold.
5 years ago
A circle with radius 6 has half its area removed by cutting off a border of uniform width. Find the width of the border.
5 years ago
Three forces 20 N, 30 N, and 40 N are in equilibrium. Find the angle between the 20 N and 40 N forces.
5 years ago
The median of a right triangle drawn to the hypotenuse is 3 cm long and makes an angle of 60° with it. Find the area of the triangle.
5 years ago
Determine the equation of an open upward parabola with (2, 1) and (-4, 1) as ends of latus rectum.
5 years ago
Find the distance between foci of the conic 8x^2 + 9y^2 = 288.
5 years ago
Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are equal.
5 years ago
A company purchased an equipment for a total of P960M including its freight and installation charges. What is its annual depreciation charge if salvage value is zero and the sinking fund deposit factor is 0.0430?
5 years ago
By the conditions of a will, the sum of P25,000 is left to a girl to be held in a trust fund by her guardian until it amounts to P45,000. When will the girl receive the money if the fund is invested at 8% compounded quarterly?
5 years ago
A right cylindrical tank 2 m in diameter and 5 m long has its axis horizontal. It is filled with fuel to a depth of 1.5 m. Find the volume of fuel in the tank in liters.
5 years ago
The pilot of an airplane left A and flew 200 miles in the direction S 20° 20' W. He then turned and flew 148 miles in the direction S 69° 40' E. If he now heads back to A, in what direction should he fly?
5 years ago
Find the approximate amount of material in an open rectangular box whose inside measurements are 1.60 m long, 1.00 m wide and 0.60 m deep, if the box is made of lumber which is 1.75 cm thick.
5 years ago
For triangle BOA, B is on the y-axis, O is the origin, and A is on the x-axis. Point C(5, 2) is on the line AB. Find the length of AB if the area of the triangle is 36 unit2.
5 years ago
A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.
5 years ago
MSTE-00 Quiz Page
5 years ago
Exam: Bonus Set (Design)
5 years ago
Story
5 years ago
MSTE-00 Final Preboard
5 years ago
Exam: MSTE-00 Problem Set 10
5 years ago
Video Discussion: MSTE-00 Problem Set 10
5 years ago
Exam: MSTE-00 Problem Set 9
5 years ago
Video Discussion: MSTE-00 Problem Set 9
5 years ago
Video Discussion: MSTE-00 Problem Set 8
5 years ago
Exam: MSTE-00 Problem Set 8
5 years ago
Video Discussion: MSTE-00 Problem Set 7
5 years ago
Exam: MSTE-00 Problem Set 7
5 years ago
Video Discussion: MSTE-00 Problem Set 6
5 years ago
Exam: MSTE-00 Problem Set 6
5 years ago
Video Discussion: MSTE-00 Preboard 1
5 years ago
MSTE-00 Preboard Exam 1
5 years ago
Exam: MSTE-00 Problem Set 5
5 years ago
Video Discussion: MSTE-00 Problem Set 5
5 years ago
Video Discussion: MSTE-00 Problem Set 4
5 years ago
Exam: MSTE-00 Problem Set 4
5 years ago
Video Discussion: MSTE-00 Problem Set 3
5 years ago
Exam: MSTE-00 Problem Set 3
5 years ago
Exam: MSTE-00 Problem Set 2
5 years ago
Video Discussion: MSTE-00 Problem Set 2
5 years ago
Video Discussion: MSTE-00 Problem Set 1
5 years ago
Exam: MSTE-00 Problem Set 1
5 years ago
Welcome Message and General Instructions
5 years ago
How many three-digit numbers are not divisible by 3?
5 years ago
The sequence a, b, c is an AP and the sequence a, b, c + 1 is in GP. If a = 1, find the value of c.
5 years ago
For a given GP, a1 = 5/21 and r = 1.2. Calculate the product of the first 21 terms.
5 years ago
Consider the arithmetic sequence whose first term is 3 and common difference is -5. Write an expression for the general term an. Hint: an = a1 + (n - 1)d.
5 years ago
Indirect Mail Inc. had been mailing out coupons for a clearance sale at a constant rate for 4 days, when they counted the coupons, they still had mail out and discovered they had 120,000 left. After 7 total days of work they had 75,000 left. At what rate
5 years ago
Shureka Washburn has scores 72, 67, 82 and 79 on her algebra tests. Use an inequality to find the scores she must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two test.
5 years ago
The following three terms are in geometric progression: x, 2x + 7, 10x – 7. What is the 6th term?
5 years ago
A sequence of numbers is defined by the relation $\dfrac{a_{n + 1}}{a_n} = 3^n$ and it is known that $a_1 = 1$. Find the value of $\log_3 a_{100}$.
5 years ago
Find the sum of $$ 1 + 2\left( \dfrac{1}{3} \right) + 3\left( \dfrac{1}{3} \right)^2 + 4\left( \dfrac{1}{3} \right)^3 + \ldots + n\left( \dfrac{1}{3} \right)^{n - 1} + \dots $$
5 years ago