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3 years ago

Find the missing side. Write as an exact answer in simplest radical form.

Mathematics

1 answer:

Eddi Din [679]3 years ago

7 0

Answer:

b = 36

Step-by-step explanation:

Assuming this is a right triangle with hypotenuse = c and legs a and b

Then using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + b² = c², and substituting values

15² + b² = 39², that is

225 + b² = 1521 ( subtract 225 from both sides )

b² = 1296 ( take the square root of both sides )

b = $\sqrt{1296}$ = 36

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Mr. Eanes spent $205.60 at Target. There was a 15% off sale. How much discount did he get?

mojhsa [17]

Answer:

$174.76

Step-by-step explanation:

205.60 205.60

x 0.15 ----> - 30.84

------------- Next ---------------

30.84 $174.76

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3 years ago

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Iteru [2.4K]

Answer:

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Step-by-step explanation:

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David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and

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Answer:

Represent the thickness of the frame by x.

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2 years ago

Describe how to construct an angle bisector with a compass and starightedge.

Nina [5.8K]

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3 years ago

Can someone please help with transformations of parent functions

Anna71 [15]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

that said, compressing vertical |x| by a factor of 4, means A = 4, thus is 4|x|.

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3 years ago