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34kurt
3 years ago
6

Andy estimated that he would need 71 feet of lumber for a tree house project. He later found that the actual amount of lumber ne

eded was 60 feet. What was the percent error of Andy's estimation?
18.33%





15.49%





11%





84.51%
Mathematics
2 answers:
zhenek [66]3 years ago
4 0
x = \frac{60}{71}
x = 0.845070423
x = 84.5070423 %  
<span>x ~= 84.51%</span>
Fudgin [204]3 years ago
4 0

Answer:

the correct answer is 18.33

Step-by-step explanation:

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The value of cos(a+b) for the angles a and b in standard position in the first quadrant is -\frac{36}{85}

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<h3>Cosine of a sum of two angles</h3>

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To find sin(b), note that

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substituting \frac{3}{5} for cos(b) in the identity, we get

sin(b)=\sqrt{1-cos^2(b)}\\\\=\sqrt{1-\left(\dfrac{3}{5}\right)^2}=\dfrac{4}{5}

<h3>Find cos(a)</h3>

To find cos(a), note that

sin^2(a)+cos^2(a)=1\\\\\implies cos(a)=\sqrt{1-sin^2(a)}

substituting \frac{15}{17} for sin(a) in the identity, we get

cos(a)=\sqrt{1-sin^2(a)}\\\\=\sqrt{1-\left(\dfrac{15}{17}\right)^2}=\dfrac{8}{17}

<h3>Find the value of cos(a+b)</h3>

We can now make use of the formula

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

to find cos(a+b).

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Learn more about sine and cosine of compound angles here brainly.com/question/24305408

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