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Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.
A boy 1.4 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.
The length of a rectangle is 10 cm. If its perimeter is 28 cm, find the area
In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.
A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area
A ladder 6m long leans against a vertical wall at an angle 53º to the horizontal. How high up the wall does the ladder reach?
Find the area of the sector OPSQ
In the diagram, ∠POQ = 150 and the radius of the circle PSQR is 4.2cm. [take π = 22/7]
What is the length of the minor arc?
An exterior angle of a regular polygon is 22.5°. Find the number of sides.
Make t the subject of k = \(m \sqrt \frac{t-p}{r}\)
.Find the value of x such that \(\frac{1}{x}\) +\(\frac{4}{3x}\) - \(\frac{5}{6x}\) + 1 = 0
What value of p will make (x\(^2\) - 4x + p) a perfect square?
Consider the statements:
p: Stephen is intelligent
q: Stephen is good at Mathematics
If p⇒q, which of the following is a valid conclusion?
Mary has $ 3.00 more than Ben but $ 5.00 less than Jane. If Mary has $ x, how much does Jane and Ben have altogether?
If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x\(^2\) -9y\(^2\))?
The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage error
Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.
If a = 3 and b = -7, find the value of \(\frac{5b+(a+b)^2}{(a-b)^2}\)
M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.
Find the 17term of the Arithmetic Progression (A.P):-6,-1,4