Question

answer should be 9 but how... I want full process...

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CORRECT ANSWER= 10 THANKS+5.0 RATING AND BRAINLIEST


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Answer 1

Answer:

I think this is the solution maybe if it's correct than its ok

Answer 2

$\tt {Solution:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt \orange{ First \: do \: prime \: factorisation \: of \: 0.0169 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\begin{array}{ r||l } \footnotesize\tt{0.13}&\footnotesize\tt{0.0169} \\ \footnotesize\tt{0.13}& \footnotesize\tt{0.13} \\& \footnotesize\tt{1} \end{array}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt{ \sqrt{0.0169} = 0.13 \underbrace \times 0.13}$

$\footnotesize \tt{ \sqrt{0.0169} = {0.13} }$

$\footnotesize \tt \orange{ \sqrt{ 0.0169} = {0.13} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

Let the percentage be x and now solve the question

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt{ \sqrt{0.0169} \: \times } \tt{ \frac{x}{100} } \footnotesize \tt{ \: = \: 0.0117}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt \orange{ Replace \: \sqrt{ 0.0169} \: with \: {0.13} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt{ 0.13 \: \times } \tt{ \frac{x}{100} } \footnotesize \tt{ \: = \: 0.0117}$

$\tt{ \frac{0.13x}{100} \: = \: \frac{117}{10000} }$

$\tt{ \frac{13x}{10000} \: = \: \frac{117}{10000} }$

$\footnotesize\tt{ 13x }\: = \: \tt{\frac{117}{10000} \times 10000 }$

$\footnotesize\tt{ 13x }\: = \: \tt{\frac{117}{ \cancel{10000}} \times \cancel{10000} }$

$\footnotesize\tt{ x }\: = \: \tt{ \frac{117}{13} }$

$\footnotesize\tt{ x }\: = \: \tt{ \cancel\frac{117}{13} }$

$\boxed{ \underline{\footnotesize\tt \orange{{ x }\: = \: \tt{ 9 }}}}$