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If y÷121=0.03\sqrt{y} \div \sqrt{121} = 0.03y​÷121​=0.03​, then find the value of y , giving your answer correct to 3 decimal places.
Question

If y÷121=0.03\sqrt{y} \div \sqrt{121} = 0.03​, then find the value of y , giving your answer correct to 3 decimal places.

A.

1.760

B.

0.109

C.

0.176

D.

1.640

Correct option is B

Given: 

y÷121=0.03\sqrt{y} \div \sqrt{121} = 0.03 

Solution: 

y÷121=0.03 y=0.03×11 y=0.33 y=(0.33)2 y=0.10890.109\sqrt{y} \div \sqrt{121} = 0.03 \\ \ \\ \sqrt{y} = 0.03 \times 11 \\ \ \\ \sqrt{y} = 0.33 \\ \ \\ y = (0.33)^2 \\ \ \\ y = 0.1089 \approx 0.109​​

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