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2 years ago

Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio?

1 answer:

5 0

3:4 = 6:8

$\frac{3}{4} = \frac{6}{8}$

The same principle is used with fractions. The identity property of multiplication states that any number times 1 is the same number. Since $\frac{2}{2}$ = 1, the fraction/ratio does not change in value.

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Answer:

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Step-by-step explanation:

Since our equation is $F=\frac{Gm_1m_2}{r^2}$ and we want to solve for G, first we divide both sides by the product $m_1m_2$ , which gives:

$\frac{F}{m_1m_2}=\frac{Gm_1m_2}{m_1m_2r^2}=\frac{G}{r^2}$

So we are left with:

$\frac{F}{m_1m_2}=\frac{G}{r^2}$

Now we multiply both sides by $r^2$ , which gives:

$\frac{Fr^2}{m_1m_2}=\frac{Gr^2}{r^2}=G$

Which gives us our final formula:

$G=\frac{Fr^2}{m_1m_2}$

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Gnom [1K]

Answer:

True

(1) You can prove two triangles are similar using AA similarity.

(2)If side length of similar figure have ration $\frac{m}{n}$ then the ratio of surface areas will be: $\frac{m^2}{n^2}$

(3)If side length of similar figure have ratio of $\frac{2}{3}$ then perimeter will have ratio: $\frac{2}{3}$ .

False:

(1)If side length of similar figure have ration $\frac{m}{n}$ then the ratio of Volumes will be: $\frac{m^3}{n^3}$

(2)If side length of similar figure have ration $\frac{m}{n}$ then the ratio of surface area will be: $2\frac{m}{n}$

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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