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3 years ago

It is given that D is inversely proportional to v m

Mathematics

1 answer:

Darina [25.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

$D=\frac{k}{\sqrt{m}}\\\\64=\frac{k}{\sqrt{9}}\\\\64=\frac{k}{3}\\\\ 64*3=k\\\\k=192\\a)D=\frac{192}{\sqrt{4}}\\\\=\frac{192}{2}\\\\D=96\\\\b)32=\frac{192}{\sqrt{m}}\\\\ 32*\sqrt{m}=192\\\\\sqrt{m}=\frac{192}{32}=6\\\\m=36$

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Alisiya [41]

$\boxed{ \boxed{\huge{ \mathrm{ \underline{ Answer } ✓ }}}}$

<u>Figure - 1</u> :

Let the missing side as " n "

$\mathrm{ \triangle DEF \sim \triangle DRQ}$

Therefore the sides will be proportional,

$\dfrac{n}{9} = \dfrac{4}{12}$

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_____________________________

<u>Figure - 2</u> :

Let the missing side as " m "

The Triangles are similar, therefore their sides will be proportional.

$\dfrac{m}{8} = \dfrac{9}{6}$

$m = \dfrac{3}{2} \times 8$

$m = 3 \times 4$

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