Calculate the value of $p$. Write down your full calculator display.

Write your answer to part (a)

(i)     correct to two decimal places;

(ii)     correct to three significant figures.

Write your answer to part (b)(ii) in the form $a \times {10^k}$, where $1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}$.

$\frac{{\cos 36^\circ  + \sin 18^\circ }}{{\sqrt {{{29}^2} - 21.8} }}$    (M1)

Note:     Award (M1) for correct substitution into formula.

$= 0.0390625$    (A1)     (C2)

Note:     Accept $\frac{5}{{128}}$.

[2 marks]

(i)     0.04     (A1)(ft)

(ii)     0.0391     (A1)(ft)     (C2)

Note:     Follow through from part (a).

[2 marks]

$3.91 \times {10^{ - 2}}$    (A1)(ft)(A1)(ft)     (C2)

Note:     Answer should be consistent with their answer to part (b)(ii). Award (A1)(ft) for 3.91, and (A1)(ft) for ${10^{ - 2}}$. Follow through from part (b)(ii).

[2 marks]