In the diagram, PR is a diameter, $\angle PRQ={{(3x-8)}^{\circ }}$and$\angle RPQ={{(2y-7)}^{\circ }}$. Express x in terms of y

In the diagram $KL\parallel MN,\angle NMP={{30}^{\circ }}$ and $\angle NMP={{45}^{\circ }}$ find the size of the reflex $\angle KPM$

A fair die is tossed once, what is the probability of obtaining neither 5 nor 2

From a point P,R is 5km due west and 12km due south. Find the distance between P and R

A man bought 220 mangoes at N5x and sold each f or 3x kobo and made a gain of N8. Find the value of x

Find the equation whose roots are 2 and $-3\tfrac{1}{2}$

Simplify the expression ${{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16$

Evaluate $7\tfrac{1}{2}-(2\tfrac{1}{2}+3)\div \tfrac{33}{2}$, correct to the nearest whole number

Simplify $\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}$ 

Correct 0.04945 to two significant figures