An open cone with base radius 28cm and perpendicular height 96cm was stretched to form a sector to form a sector of a circle. Calculate the area of the sector. [Take $\pi =\tfrac{22}{7}$]

Given that $(x+2)({{x}^{2}}-3x+2)+2(x+2)(x-1)=(x+2)M$, find M

The distance between two towns is 50km, it is represented on a map by 5cm. Find the scale used

The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole numbers, the volume of the cone [Take $\pi =\tfrac{22}{7}$]

A pyramid has a rectangular base with dimension 12m by 8m. If its height is 14m. Calculate the volume

Given that $P={{x}^{2}}+4x+2,\text{ }Q=2x-1\text{ and }Q-P=2$ find x

Using the Venn diagram, find$n(X\cap Y')$

In the diagram $\overline{ST}\parallel \overline{PQ}$, reflex angle SRQ =198^o and $\angle RQP={{72}^{\circ }}$ . Find the value of y

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon

Express $\frac{2}{x+3}-\frac{1}{x-2}$ as a simple fraction