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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:

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Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

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3.

7² + 9² = c²

49 + 81 = c²

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√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

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√b² = √32

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5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

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6.

10² + b² = 15²

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100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

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8.

5² + 12² = 13²

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