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iVinArrow [24]
3 years ago
15

If two angles of an isosceles triangle measure 35° and the base of the triangle is 18 feet, find the perimeter of the triangle.

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

40

Step-by-step explanation:

You can split it down the middle to form 2 right triangles. Then, use the rules of sin, cosin, and tan to figure out the length of the sides.

You have the bottom side is 9 (because you split the original triangle in half, so 18/2 = 9) and that the angle next to that side is 35. You are trying to find the hypotenuse because that will help you find the perimeter.

You can use cosin(angle) = adjacent/hypotenuse

you have:

angle = 35

adjacent = 9

hypotenuse = unknown, call it x

So you can plug those values into your equation and you would have:

cosin(35) = 9/x

Rearranging the terms, you have:

x = 9/cosin(35)

Put this in a calculator and you will get x = about 11

To find the perimeter, just do 11 + 11 + 18 = 40 feet

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Step-by-step explanation:

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Then,

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The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.

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Step-by-step explanation:

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natta225 [31]
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8 0
3 years ago
If cot theta = 3/2, what is the value of csc theta?
Arturiano [62]

The value of csc theta is \frac{3. 61}{2}

<h3>How to determine the value</h3>

It is important to note that the ratio for cot is given as;

Cot theta = adjacent/opposite

cosec theta = hypotenuse/opposite

If cot theta = 3/2, then

Adjacent = 3

Opposite = 2

Using Pythagoras theorem, we have

Hypotenuse square = opposite + adjacent square

H = \sqrt{2^2 + 3^2}

H = \sqrt{4 + 9}

H = 3. 61

Cosec theta = \frac{3. 61}{2}

Thus, the value of csc theta is \frac{3. 61}{2}

Learn more about trigonometric ratio here:

brainly.com/question/13276558

#SPJ1

6 0
2 years ago
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