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luda_lava [24]
4 years ago
15

Evaluate. [120 + (12 ÷ 3 • 30)] ÷ 20 + 102

Mathematics
2 answers:
Ymorist [56]4 years ago
7 0
[120+(12/3*30)]/20+102=114.
Lelu [443]4 years ago
3 0
[120 +(12/3*30)] / 20 +102

[120 +120] / 20 +102

240/20 +102

12 +102

124

=3 *meow*
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How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi
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The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

<u>Solution:</u>

Given, a right triangle with A, B, and C.  

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Adjacent side = "x" inches.  

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Hypotenuse theorem  means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}

Substituting the values we get,

\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}

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Hence the steps to find adjacent side is shown above

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\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}

By substituting the required values, we can find cos, sin and tan

\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}

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