ALPHA
Find the obtuse angle that satisfy the equation 2sin(x) =1.
150
Given that;
3x + y = 5
5x + y = 9
Find 2x +y
3
Find the length of a diagonal of a rectangle whose adjacent sides are 5cm and 12cm.
13cm
If g(x) = 4x + 3 = find the value of x when g(x) = 1
- 3
A pyramid has a rectangular base with dimensions
12 m by 8 m. If its height is 14 m. Calculate the volume of the pyramid.
448 cm3
Find the sum of the roots of the quadratic equation:
2x2 - 7x + 3 = 0
3.5
Evaluate sin300cos600 + cos300sin600
1
A girl is 6 years younger than her brother. The product of their ages is 135. Find their present ages.
Brother = 15 years
Sister = 9 years
If 30% of x is 720. Find the value of x.
2400
A father is four times as old as his son, in 18 year's time, he will be twice as old. Find their present ages.
Son: 9 years
Father: 36 years
Solve the equation: 22x - 5(2x) + 4 = 0
2 or 0
In an examination, a candidate must secure 40% marks to pass. A candidate who gets 200 marks, fails by 20 marks. what is the maximum mark for the examination ?
550
After spending 2/5 of her money on food and 1/6 on cosmetics, a woman was left with $1300. How much did she have originally?
$3000
If (x - 5)2 + k = x2 - pk - 21. Find the value of k.
46
The distance covered by a train is directly proportional to the time taken for the journey. The train travels 105 kilometers in 3 hours. What distance will the train cover in 5 hours?
175
The first and the third term of an exponential sequence are 8 and 18 respectively. Find the common ratio
1.5 or 3/2
A saver invests $5000 at 5% simple interest for 4 years. How much was her investment worth by the end of this period?
$6000
In a class of 36 students 29 do Mathematics and 20 do Chemistry. If 5 students do neither, how many students do Chemistry but not Mathematics?
2 students
If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number?
216
A photograph is mounted on a rectangular piece of cardboard a cm long and b cm wide, so as to leave a border x cm wide all round the outside of the photograph. Write down and simplify an expression for the number of square centimeters in area of the border.
2x(a+b-2x) cm2