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likoan [24]
3 years ago
13

Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer

than width. What is the width of the patio?
Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0
A = LW
A = 72
L = W + 1

72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0

W + 9 = 0
W = -9......extraneous solution...does not work here

W - 8 = 0
W = 8 <==

L = W + 1
L = 8 + 1
L = 9

so the width (W) is 8 ft and the Length is 9 ft
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Answer:

The graph in the attached figure

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A circle has a radius of 6. An arc in this circle has a central angle of 330
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Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

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In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

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Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

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You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

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