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quester [9]
2 years ago
6

I need help on question 32 for algebra

Mathematics
1 answer:
Usimov [2.4K]2 years ago
5 0

Answer:

d. 40 feet

Step-by-step explanation:

Perimeter = 140 ft

Width = L + 10

P = 2w + 2L

140 = 2(L + 10) + 2L

140 = 2L + 20 + 2L

120 = 4L

L = 30

w = L + 10

w = 30 + 10

w = 40

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We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.

First of all, we will draw a triangle as shown in the attachment.

We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

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Using inverse sine or arcsin, we will get:

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Upon rounding to nearest degree, we will get:

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