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Answer: angle X = 70.5 degrees</h3>
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Work Shown:
Law of Cosines
c^2 = a^2 + b^2 - 2ab*cos(C)
22^2 = 20^2 + 18^2 - 2*20*18*cos(X)
484 = 724 - 720*cos(X)
484 + 720*cos(X) = 724
720*cos(X) = 724 - 484
720*cos(X) = 240
cos(X) = 240/720
cos(X) = 1/3
X = arccos(1/3)
X = 70.528779
X = 70.5
Make sure your calculator is in degree mode.
Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
sinR/30=sin96/54
sinR=30sin96/54
R=arcsin(30sin96/54)°
R≈33.5° (to nearest tenth of a degree)
In order to solve, you must multiply the original price of the sneakers by the sales tax (in decimal form). So,
$65.95 x 0.0825 = $5.440875 < this is the amount of tax. Add this to the original price to find the total.
$65.95 + $5.440875 = $71.390875, which rounds to $71.39 with tax.
