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vampirchik [111]
2 years ago
10

Solve for x. Round your answer to two decimal places. Show your work for full credit.

Mathematics
1 answer:
Zina [86]2 years ago
4 0

Answer:

The value for x =  37.80.

Step-by-step explanation:

Here, the given triangle is a right angled triangle.

Also, Ф  = 32°

Now, using Trigonometric Function:

\sin \theta =  \frac{Perpendicular}{Hypotenuse}

⇒Sin (32) = \frac{20}{x}   \impliesx = \frac{20}{Sin(32)}

Also, using the trigonometric table,

Sin (32°) =  0.529

⇒ x =  20 / 0.529 =  37.80

Hence, the value for x =  37.80.

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The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expr
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The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: \frac 12 \times 25

Let the sides of Juan's triangle be x, y and z. So:

x = 5 \\ y = 8\\ z = 12

The perimeter (J) of Juan's triangle is calculated by adding all sides.

So:

J =x +y +z

This gives:

J =5 + 8 + 12

J =25

From the question, we understand that:

The perimeter (S) of Stephanie's triangle is half that of Juan.

This means that:

S = \frac 12J

Substitute 25 for J

S = \frac 12 \times 25

Hence, the numerical expression for the perimeter of Stephanie's triangle is: \frac 12 \times 25

Read more about perimeters at:

brainly.com/question/11957651

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