2 years ago

Help me get the answer

Mathematics

2 answers:

xz_007 [3.2K]2 years ago

4 0

Answer:

210 in^2

Step-by-step explanation:

Arturiano [62]2 years ago

4 0

Find area of each part of the shape and then add them up.

Area of triangle = 1/2bh = 1/2(5)(8) = 20 $in^{2}$

Area of small rectangle = bh = 6x5 = 30 $in^{2}$

Area of large rectangle = 16x10 = 160 $in^{2}$

20 $in^{2}$ + 30 $in^{2}$ + 160 $in^{2}$ = 210 $in^{2}$

answer: 210 $in^{2}$

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Please help! 30 points!

Rashid [163]

Answer: $64.2^{\circ}$

Step-by-step explanation:

According to the cosine rule

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Here, $a=83, b=111, c=165,\ C=180^{\circ}-\theta$

Putting values

$\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}$