10. If $6{{x}^{3}}+2{{x}^{2}}-5x+1$ divides ${{x}^{2}}-x-1$ ,find the remainder

$\frac{\tfrac{2}{3}\div \tfrac{4}{5}}{\tfrac{1}{4}+\tfrac{3}{5}-\tfrac{1}{3}}$

Given $\sin 58{}^\circ =\cos p{}^\circ $ find p

Find the length of the chord |AB| in the diagram

Rationalize $\frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}-\sqrt{3}}$

In a class of 50 students, every students must offer at least one subject. 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A binary operation$\otimes $ is defined by $m\otimes n=mn+m-n$on the set of real numbers, for all m, n $\in $  R. Find the value of $3\otimes (2\otimes 4)$

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

Make q the subject of the formula in the equation $\frac{mn}{{{a}^{2}}}-\frac{pq}{{{b}^{2}}}=1$