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Fantom [35]
3 years ago
12

A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is

10.2 centimeters.
Which triangular prism is similar to the described prism?
Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

it should be D

Step-by-step explanation:

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Check the picture below.

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(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{6 -1}{4 +2} \implies \cfrac{ 5 }{ 6 }

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{5}{6}}(x-\stackrel{x_1}{(-2)})\implies y-1=\cfrac{5}{6}(x+2) \\\\\\ y-1=\cfrac{5}{6}x+\cfrac{5}{3}\implies y=\cfrac{5}{6}x+\cfrac{5}{3}+1\implies y=\cfrac{5}{6}x+\cfrac{8}{3}

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2 years ago
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Monica [59]

<u>Answer</u>:

Given below.

<u>Step-by-step explanation</u>:

1) Hypotenuse

2) Using Pythagoras theorem:

              35² + 12² = c²

                c = √1225+144

                c = √1369

                 c = 37  ....this is the length of missing side.

Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.

3) sin(θ) = opposite/hypotenuse

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4) cos(θ) = adjacent/ hypotenuse

    cos(θ) = 12/37

5) tan(θ) = opposite/adjacent

      tan(θ) = 35/12

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Answer:   777654

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lol

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