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Vesna [10]
3 years ago
15

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is

Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

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The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".

<h3>Linear Expression</h3>

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.

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First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.

The word <em>more </em>will be represented for the add symbol (+). Thus,

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The expression 3*(n+8) can be represented for the sentence:

The triple of the sum between the numbers n and 8.

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1 year ago
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soldier1979 [14.2K]

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