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sdas [7]
3 years ago
14

Find the missing side or angle. Round to the nearest tenth.

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

Answer:

<h2>a = 4.1</h2>

Step-by-step explanation:

To find the missing side in the question, we use the cosine rule

That's

Since we are finding a we use the formula

<h3>a² = b² + c² - 2(b)(c) cos A</h3>

From the question

b = 2

c = 4

A = 78°

Substitute the values into the above formula

We have

a² = 2² + 4² - 2(2)(4) cos 78

a² = 4 + 16 - 16 cos 78

a² = 20 - 16cos 78

a² = 16.67341

Find the square root of both sides

a = 4.0833

We have the final answer as

<h3>a = 4.1 to the nearest tenth</h3>

Hope this helps you

statuscvo [17]3 years ago
3 0
Cosine law
a^2 = b^2 + c^2 - 2(b)(c)cosA
a^2 = 2^2 + 4^2 - 2(2)(4)cos78
a = 4.08
a = 4.1
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