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Tasya [4]
3 years ago
13

Find the value of tan W rounded to the nearest hundredth, if necessary.

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ WU^2=UV^2+WV^2\implies \sqrt{WU^2-UV^2}=WV \\\\\\ \sqrt{41^2-40^2}=WV\implies 9=WV

Check the picture below.

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4 years ago
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Option A:

The equation for the trend line is y = 82x + 998.

Solution:

The points on the line are (2, 1162) and (11, 1900).

Here, x_1=2, y_1=1162, x_2 = 11, y_2=1900

Slope of the line:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

$m=\frac{1900-1162}{11-2}

$m=\frac{738}{9}

m = 82

Point-slope formula:

y-y_{1}=m\left(x-x_{1}\right)

y-1162=82\left(x-2\right)

y-1162=82x-164

Add 1162 on both sides of the equation.

y=82x+998

The equation for the trend line is y = 82x + 998.

Hence Option A is the correct answer.

4 0
3 years ago
Use the information below to find the measure of angle a such that triangle abc is similar to triangle def measure of angle b=25
Kamila [148]
<span>triangle abc is similar to triangle def
</span>
m<b = m<e = 25
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answer:

<span>measure of angle a= 45 degrees</span>
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Answer:

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Step-by-step explanation:


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