Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
Three brothers in a business deal share the profit at the end of a contract. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?
Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
Simplify and express in standard form \(\frac{0.00275 \times 0.00640}{0.025 \times 0.08}\)
Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?
At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?
Find the mean deviation of 1, 2, 3 and 4
Correct 241.34(3 x 10\(^{-3}\))\(^2\) to 4 significant figures
Find the derivative of the function y = 2x\(^2\)(2x – 1) at the point x = -1?
The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?
find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?
A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm\(^2\), find the distance between the parallel sides
determine the maximum value of y=3x\(^2\) + 5x – 3
What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?
In how many ways can 2 students be selected from a group of 5 students in a debating competition?
Solve the following equation: \(\frac{2}{(2r – 1)}\) – \(\frac{5}{3}\) = \(\frac{1}{(r + 2)}\)