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astra-53 [7]
3 years ago
5

10000000000000000000000000000000000000000000000000+1

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0
100000000000000000000000000000000000000000000000001
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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
patriot [66]

Answer:

a. 12 feet b. 12 feet 0.5 inches c. 8.33 %

Step-by-step explanation:

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

1/12 = 12/x

x = 12 × 12

x = 144 inches

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

b. How long should the ramp be?

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)

= √[12² + (12² × 12²)]

= 12√(1 + 144)

= 12√145

= 12 × 12.042

= 144.5 inches

Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches

c. What percent grade is the ramp?

The percentage grade of the ramp = rise/run × 100 %

= 12 inches/144 inches × 100 %

= 1/12 × 100 %

= 0.0833 × 100 %

= 8.33 %

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2 years ago
Find the value of x.
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x = 25 \sin 30 = 25 (1/2) = \dfrac{25}{2}

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There are 49 children at recess. They want to make teams with 9 children on each team. 3 children go home. How many complete tea
VikaD [51]

Answer:

They can make a total of 5 complete teams

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PLEASEE HELP, I’M CONFUSED!
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200

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if x is the original number:

0.7x = 140\\7x = 1400\\x = 200

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In:ft 
3:4
x:24--- to find x, multiply each side by 6, because 24/4=6
3*6:24
18:24
The length of the object is 18 in. I think this is what your asking, but I'm not sure because I didn't quite understand the wording on the problem.
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