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2 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics

1 answer:

anzhelika [568]2 years ago

7 0

Answer:

x= 3sqrt2 y=3

Step-by-step explanation:

The triangle is isosceles triangle, which means 2 sides are congruent. Therefore, y =3

using the pythagorean theorem,

3^2+3^2=x^2

9+9=x^2

18=x^2

x=18 sqrt

3sqrt2

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Answer:

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Step-by-step explanation:

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2 years ago

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kirza4 [7]

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2 years ago

Please answer fastly (4/5 +2) (3- 2/3)

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Answer:

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Step-by-step explanation:

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2 years ago

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kirill115 [55]

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Step-by-step explanation:

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2 years ago

If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second

Yuri [45]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v}
\\\\\\
v=\cfrac{5^3\cdot 54}{3^3}$

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2 years ago