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Leni [432]
3 years ago
11

Math <3 helpp please URGENT

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

The answer to your question is  x = 16.2

Step-by-step explanation:

Data

angle = 61°

Opposite side = x

Adjacent side = 9

To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.

                  tan Ф = Opposite side / Adjacent side

-Solve for Opposite side (x)

                 x = Adjacent side x tan Ф

-Substitution

                 x = 9 tan 61

-Simplification

                x = 9 (1.804)

-Result

               x = 16.2  

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Answer: First option.


Step-by-step explanation:

 1. To solve this problem you can applly the quadratic formula, which is shown below:

 x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

2. The quadratic  equation is:

x^{2}-4x-9-29=0\\x^{2}-4x-38=0

3. Then:

a=1

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4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:

x=\frac{-(-4)+/-\sqrt{(-4)^{2}-4(1)(-38)}}{2(1)}

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