(a) Given that $\sin x=0.6,0°\le x\le 90°$, evaluate $2\cos x+3\sin x$, leaving your answer in the form $\frac{m}{n}$, where m and n are integers.
(b)
In the diagram, a semi-circle WXYZ with centre O is inscribed in an isosceles triangle ABC. If /AC/ = /BC/, |OC| = 30 cm and < ACB = 130°, calculate, correct to one decimal place, the (i) radius of the circle ; (ii) area oc the shaded portion. [Take $\pi =\frac{22}{7}$].


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