Question

Only 1st-15th questions only​

Answer 1

1. find the area of the circle whose circumference is 44 cm.......$\pi {r}^{2} = 44 \\ \frac{22}{7} {r}^{2} = 44 \\ {r}^{2} = 44 \times \frac{7}{22} \\ {r}^{2} = 2 \times 7 = 14 \\ {r} = \sqrt{14} cm$
2. secant is a straight line that cuts a curve in two or more parts

4.

$x + y = 10 \:\:\:\: \: \: \: \: \: \: \: \: (1)\\x - y = 2 \:\:\:\:\: \: \: \: \: \: \: \: \: \: (2)\\from(1) \\ x = 10 - y \: \: \: \: \: \: \: \: \: \: \: \:\: (3) \\ put \: in \: (2) \\ (10 - y) - y = 2 \\ 10 - y - y = 2 \\ 10 - 2y = 2 \\ - 2y = - 8 \\ y = 4 \\ put \: in \: (3) \\ x = 10 - 4 = 6 \\ x = 6 \\ y = 4$

7.

$\sin(60) . \cos(30) + \sin(30) . \cos(60) \\ \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{2} \\ \frac{3}{4} + \frac{1}{4} = \frac{3 + 1}{4} = \frac{4}{4} = 1$

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