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MrRa [10]
4 years ago
7

Graph each inequality and graph its solution. 3) n - 11 > -21

Mathematics
1 answer:
Vera_Pavlovna [14]4 years ago
7 0
The correct answer is
Inequality: n>-10
Interval Notation: (-10,infinity)
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g how many square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long? the slope of the roof
Ludmilka [50]

The area of the roof is 1984 sq. ft. 1984 square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long.

Given, the length of the roof is 62 ft long and the width of the roof is 32 ft wide. Therefore, the area of the roof is length * width.

Area of the roof = length of the roof * width of the roof

Area = 62 ft * 32 ft

Area = 1984 sq. ft

Here, also given the slope of the roof is 1:2 which indicates the ratio of rise and run.

Slope of the roof = Rise / Run = 1 / 2

Then, the slope factor is \frac{\sqrt{\frac{ 1^{2} }{2 ^{2} } }}{12} = \frac{1}{24} = 0.04167

To see a similar example:

brainly.com/question/27301581

#SPJ4

The right question is:

How many square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long?

4 0
2 years ago
If snow accumulates at a rate of 2 inches every 3 hours, how many hours will it take to accumulate 2 feet of snow?​
Effectus [21]

Answer:

12hours

Step-by-step explanation:

24inch-2feet

24/2=12

7 0
3 years ago
Read 2 more answers
13,000 divided by 1,000
ivann1987 [24]

Answer:

Hey! The answer would be 13 with no remainder. Hope this helped :)

3 0
3 years ago
If f(x) = arcsinx, then f' (√3/2)=
Irina-Kira [14]

You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.

The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").

By definition of inverse functions, we have

f(finv(x)) = finv(f(x)) = x

Differentiating both sides of the second equality with respect to x using the chain rule gives

finv'(f(x)) * f'(x) = 1

When x = a, we get

finv'(b) * f'(a) = 1

or

finv'(b) = 1/f'(a)

Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).

So we take a = π/3 and b = √3/2. Then

arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2

4 0
3 years ago
A bicylcle shop designs a new gear system for their bikes.They use a 4-inch gear for the bikes with a 22-inch wheel diameter. If
pashok25 [27]

Answer:

  8

4 --

  11

Step-by-step explanation:

The gear ratio for the original gear system was 4/22. To get the 22 inch wheel to 26 inches, you have to multiply it by 26/22, so to keep the same ratio, you will also need to multiply 4 by 26/22. You get 104/22, which simplifies to 52/11 which simplified further to 4+8/11. You can check your answer by comparing the original ratio to the new ratio.

4 0
4 years ago
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