Mathematics: Use the law of cosines to solve for the length of side b. show all of your work for full credit.

Use the law of cosines to solve for the length of

Ответ:

mdlnlcs

09.01.2022

The law of cosines states that:
c² = a² + b² - 2ab*cos(C)
In this case, a and b are the legs we know the length of, and C is the degree opposite the unknown leg, or 33°
Plugging in:
c² = 11² + 16² - 2(11)(16)(cos(33°)
c² = 121 + 256 - 352 (.83)
c² = 81.78
c = 9

The length of side b is about 9

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Ответ:

tseaux9

09.01.2022

Mathematics

According to the law of cosines:

$AC^2=AB^2+BC^2-2\cdot AB\cdot BC\cdot\cos33^{\circ}$ .

Substituting all the values we know and finding $\cos33^{\circ}\approx0.84$ using a calculator, we have:

$b^2=16^2+11^2-2\cdot 16\cdot 11\cdot 0.84\\\\b^2=256+121-295.68\\\\b^2=81.32\\\\b=\pm \sqrt{81.32} \approx\pm9$

We discard the negative solution clearly.

b=9 units

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Ответ:

19youngr

03.04.2023

Mathematics

Step-by-step explanation:

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Use the law of cosines to solve for the length of side b. show all of your work for full credit.

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