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marishachu [46]
3 years ago
15

the ratio of the lenghts of corresponding parts in two smillar solids is 4.1 what is the ratio of their surface areas?

Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer:

16:1

Step-by-step explanation:

The ratio of the surface areas of the similar solids is the square of the lengths.

(4:1)²

4²:1²

⇒ 16:1

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Why don't we take <span>3x^2-18x+27 and set it = to 0, and only then try to solve this equation?

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Which choice is equivalent to the quotient below? sqrt 7/8* sqrt7/187/16/121/23/47/12
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We can apply the following properties of radicals:

\begin{gathered} \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\Rightarrow\text{ Product property} \\ \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\Rightarrow\text{ Quotient property} \end{gathered}

Then, we have:

\begin{gathered} \text{ Apply the product property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7}{8}\cdot\frac{7}{18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7\cdot7}{8\cdot18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{49}{144}} \\ \text{ Apply the quotient property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{\sqrt[]{49}}{\sqrt[]{144}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{7}{12} \end{gathered}

Therefore, the choice that is equivalent to the given product is:

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