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Ivan
2 years ago
13

A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?

Mathematics
2 answers:
Troyanec [42]2 years ago
8 0

Answer:

140 feet

Step-by-step explanation:

You will need to find the perimeter of the backyard to find how many feet of fencing will be needed

the formula for perimeter is: 2l+2w

So 2 times 30 is 60

with 2 times 40 80

60+80 is 140

Thus you will need 140 feet to cover the backyard

Hope this helps!

worty [1.4K]2 years ago
7 0

Answer:

140 ft

Step-by-step explanation:

Perimeter = 2(l+w)

Perimeter = 2(30+40)

Perimeter = 2(70)

Perimeter = 140

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Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

  • \cos{\theta} = \pm \frac{2\sqrt{2}}{3}
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<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

\sin^{2}{\theta} + \cos^{2}{\theta} = 1

In this problem, we have that the sine is given by:

\sin{\theta} = \frac{1}{3}

Hence, applying the identity, the cosine is given as follows:

\cos^2{\theta} = 1 - \sin^2{\theta}

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\cos{\theta} = \pm \sqrt{\frac{8}{9}}

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The tangent is given by the sine divided by the cosine, hence:

\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}

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More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

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