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2 years ago

Find the value of X round to the nearest 10th law of cosines.

Mathematics

1 answer:

GenaCL600 [577]2 years ago

8 0

Image of triangle is missing, so i have attached it.

Answer:

x = 18

Step-by-step explanation:

From the diagram attached, we can see that the 3 given sides have dimensions of x, 16 and 30.

Also, we see the angle opposite the dimension of x is 30°

Thus,we can use law of cosine to fjnd the value of x. Thus:

x² = 16² + 30² - 2(16 × 30)cos 30

x² = 256 + 900 - (960 × 0.866)

x² = 324.64

x = √324.64

x = 18.02

Approximating to the nearest tenth gives; x = 18

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3 years ago

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