Calculate the volume of cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm

A circular arc subtends angles 150^o at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

Find the area of the trapezium above

In the diagram above, PQR is a circle O. If $\angle \mathbf{QRP}$is x^o, Find $\angle \mathbf{QRP}$

The angles of a polygon are given by x, 2x, 3x, 4x, and 5x respectively. Find the value of x

In the diagram above OR$\parallel $TU, $\angle PQR={{80}^{\circ }}$,and $\angle PSU={{95}^{\circ }}$Calculate $\angle SUT$

Given that I₃ is a unit matrix of order 3 find $\left| {{I}_{3}} \right|$ 

if $\left| \begin{matrix}   5 & 3  \\   x & 2  \\\end{matrix} \right|=\left| \begin{matrix}   3 & 5  \\   4 & 5  \\\end{matrix} \right|$, find the value of x

The binary operation * is defined on the set of real numbers is defined by $m*n=\frac{mn}{2}$for all$m,n\in \mathbb{R}$. If the identity element is 2. Find the inverse of –5 .

The binary operation* is defined on the set of integers such that $p*q=pq+p-q$. Find $2*(3*4)$