In the diagram, |SP| = |SR| and < PRS = 50o. Calculate < PQR
From the diagram, find the value of x in the diagram.
In the diagram |LN| = 4cm, LNM = 90o and tan y = \(\frac{2}{3}\). What is the area of the \(\bigtriangleup\)LMN?
The volume of a cylinder is 1200cm3 and the area of its base is 150cm2. Find the height of the cylinder.
Two circles have radii 16cm and 23cm. What is the difference between their circumference? take \(\pi = \frac{22}{7}\)
Simplify \(\frac{4}{2x} – \frac{2x + x}{x}\)
Expand the expression(3a – xy)(3a + xy)
Find the smallest value of k such that 2\(^2\) x 3\(^3\) x 5 x k is a perfect square.
For what range of values of x is 4x – 3(2x – 1) > 1?
make w the subject of the relation \(\frac{a + bc}{wd + f}\) = g
Which of the following is a factor of 2 – x – x2?
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
At what rate per cent per annum will N520.00 yield a simple interest of N39.00 in three years?
A messenger was paid N2.50 an hour during the normal working hours and 4.00 n hour during overtime. If he received N31.00 for 10 hours work, how many hours are for overtime?
Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
The bearing of a point P from another point Q is 310o. If |PQ| = 200m, how far west of Q is P?
Q is 32 km away from P on a bearing 042o and R is 25km from P on a bearing of 132o. Calculate the bearing of R from Q.
Divide the sum of 8, 6, 7, 2, 0, 4, 7, 2, 3, by their mean
The table shows the ages(in years) of twenty children chosen at random from a community. What is the median of the distribution? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)
The table shows the ages(in years) of twenty children chosen at random from a community. What is the mean age? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)