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shtirl [24]
3 years ago
9

If the ratio of areas of two similar polygons is 25:49, what is the ratio of the corresponding side lengths

Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\stackrel{\textit{ratio of sides}}{\cfrac{s}{s}}=\stackrel{\textit{ratio of the areas}}{\cfrac{\sqrt{s^2}}{\sqrt{s^2}}}\implies \cfrac{s}{s}=\cfrac{\sqrt{25}}{\sqrt{49}}\implies \cfrac{s}{s}=\cfrac{5}{7}
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B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.

Step-by-step explanation:

For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.

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For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.

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I hope this helps, have a blessed day! :D

3 0
2 years ago
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nekit [7.7K]

Answer:

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Dominio: Dom \{f(x)\} = \mathbb{R}

Codominio: Ran \{f(x)\} = 4

Asíntota: y = 4

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

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Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

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Answer:

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Step-by-step explanation:

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