In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

19. Calculate the value of angle PTR

In the diagram, $PQ\parallel RT$, $QR\parallel SU$, $\angle PQR={{48}^{\circ }}$AND find the value of x

In the diagram, PTR is a tangent to the circle centre O, if the angle TON  = 108^o. Calculate the size of angle PTN

In the diagram, O is the centre of the circle If PQ $PQ\parallel RS$and $\angle ONS={{140}^{\circ }}$find the size of $\angle POM$

The dimensions of a rectangular tanks are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tanks of height 4cm. Calculate the base radius of the cylindrical tank [Take $\pi =\tfrac{22}{7}$]

A sector of a circle with radius 6cm subtends an angle of 60^o at the centre. Calculate its perimeter in terms of π

The volume of a cone of height 3cm is $38\tfrac{1}{2}$cm². Find the radius of its base [Take $\pi =\tfrac{22}{7}$]

Ada draws a graph of $y={{x}^{2}}-x-2$and $y=2x-1$on the same axes. Which of the these equations is she solving 

Adding 42 to a given positive number gives the same result as squaring the number. Find the number.