Parsons West
09/22/2023 · Primary School

(2) Investigate the type of the function \( f \), where \( f(x)=x \sin x \) whether it is even, odd or otherwise (3) If the area of the circumcircle of \( \triangle A B C \) is \( 36 \pi \mathrm{~cm}^{2} \) and \( \mathrm{m}(\angle \mathrm{A})=37^{\circ} \), then find \( a \). (4) In \( \triangle A B C \), if \( \mathrm{m}(\angle \mathrm{C})=30^{\circ}, \mathrm{c}=6 \mathrm{~cm} \), then find the perimeter of the circumcircle of \( \Delta \) \( A B C \) to the nearest centimeter. (Conseder \( \pi=\frac{22}{7} \) )

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1. The function \( f(x) = x \sin x \) is even. 2. The length \( a \) is approximately 7.22 cm. 3. The perimeter of the circumcircle of \( \triangle ABC \) is approximately 38 cm.

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