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3 years ago

Solve for x ???????????

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

Do you recognize that the hypotenuse here has the length 22 and that the opposite side is the unknown (x)? The angle is 21 degrees.

This is a perfect application of the tangent function:

tan 21 deg = opp / adj = opp / 22 = x / 22

tan 21 deg = 0.384 so x would be 22 tan 21 deg, or
x = 22*(0.384)
= 8.45 (answer)

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The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria's installation price is $50 bu

Sophie [7]

Answer:

The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)

The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)

The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)

The area of carpet for which the cost is the same is: 10 square yard

Step-by-step explanation:

6a) The cost for magic carpet:

This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:

cost = 90 + 9*a

Where a is the area of carpet to be installed.

6)b) The cost for Capeteria:

This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:

cost = 50 + 13*a.

6) c) The algebraic expression for the cost to be the same in both stores:

90 + 9*a = 50 + 13*a

6) d) We need to solve the expression above for a:

50 + 13*a = 90 + 9*a

13*a - 9*a = 90 - 50

4*a = 40

a = 40/4 = 10

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3 years ago

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babunello [35]

The answer is D. . .

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3 years ago

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Xelga [282]

Answer:

x ≈ 30.9 (Choice D)

Step-by-step explanation:

We can use cosine for solving this question:

cos (61°) = 15 / x

x = 15 / cos (61°)

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x ≈ 30.9 (Choice D)

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3 years ago