3 years ago

Evaluate the logarithm log8 8

Mathematics

1 answer:

anygoal [31]3 years ago

4 0

Logarithm base 8 of 8 is 1 .

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3 years ago

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

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Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

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Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

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3 years ago