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vazorg [7]
2 years ago
9

Write a polynomial in standard form that represents the area of the shaded region.

Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

Answer:

Area of the smaller square is x * x, which is x^2

Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49

The area of the shaded area = Area of the larger square - Area of the smaller square

Area of the shaded region = x^2 + 14x + 49 - x^2

Area of the shaded region is 14x + 49.

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A recommendation for wheelchair ramps is that the rise-to-run ratio be no greater than 1:12. This ensures that the ramps are nav
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a. 12 feet b. 12 feet 0.5 inches c. 8.33 %

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a. How far out horizontally on the ground will it protrude from the building?

Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.

So, by ratios rise/run = 1/12 = 12/x

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Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet

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The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.

So, L = √(12² + 144²)

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= 12√145

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