A chord subtends an angle of 120^o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord[Take $\pi =\tfrac{22}{7}$]

A man’s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes

Subtract  $\tfrac{1}{2}(a-b-c)$ from the sum of $\tfrac{1}{2}(a-b+c)$and $\tfrac{1}{2}(a+b-c)$

If $\frac{2}{x-3}-\frac{3}{x-2}$is equal to $\frac{P}{(x-3)(x-2)}$ find P

Simplify $\sqrt{\frac{{{8}^{2}}\times {{4}^{n+1}}}{{{2}^{2n}}\times 16}}$

Approximate 0.0033780 to 3 significant figures

Given that  $\cos x=\tfrac{12}{13}$evaluate $\frac{1-\tan x}{\tan x}$

In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ if $\angle TRQ={{x}^{\circ }}$. Find $\angle URT$in terms of x

A trader brought sachet water for GH¢50-.00 per dozen and sold them at GH¢55.00. Calculate, correct to 2 decimal places, his percentage gain.

if x : y = 3 : 2 and y :  z = 5 : 4, find the value of x in the ratio x: y: z