In the diagram XY is a straight line, $\angle POX=\angle POQ$ and $\angle ROY=\angle QOR$ . Find the value of $\angle POQ+\angle ROY$

The diagram shows a circle centre O if $\angle STR={{29}^{\circ }}$ and $\angle RST={{46}^{\circ }}$, calculate the value of $\angle STO$

Which of the following is true  about parallelograms?

If the total surface area of a solid hemisphere equal to its volume. Find the radius

The dimension of a water are 13cm, 10cm, and 70cm . If it is half-filled with water. Calculate the volume of water in litres.

Water flows out of a pipe at a rate of 40πcm³ per second into an empty cylindrical container of base radius 4cm. Find the height of water in the container after 4 seconds

An arc of a circle of radius 7.5cm is 7.5cm long. Find , correct to the nearest degree , the angle which are the arc subtends at the centre of the circle  [Take$\pi =\tfrac{22}{7}$]

Simplify: $3x-(p-x)-(r-p).$

Solve: $-\frac{1}{4}<\frac{3}{4}(3x-2)<\frac{1}{2}$

One factor of $7{{x}^{2}}+33x-10$ is