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just olya [345]
3 years ago
10

HELP ASAP

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

Answer: Scale Factor = 3

Step-by-step explanation:

The top side of the blue triangle is equal to 2 and the top side of the red triangle is equal to 6. Therefore you hav to divide 6 by 2 to give you the scale factor which is 3. (Sorry I do not know if zoom factor is the same as scale factor)

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c 2,3

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A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is f
Natalija [7]

Answer:

Therefore total work done =2050 ft-lb

Step-by-step explanation:

Given that, a bucket are used to drawn water from a well that is 50 ft deep.

(1)

Work done = Force×displacement.

Work done to pull the bucket is

= Weight of the bucket × displacement

=(6×50) ft-lb

=300 ft-lb

(2)

The bucket fill with 40 lb of water and is pulled up at a rate of 2ft/s, but leaks out of a hole in the bucket at a rate of 0.2 lb/s.

Since the well is 50 ft deep.

It takes =\frac{50ft}{2ft/s} =25 s to pull the bucket at the top of the well.

After 25 s it lost (25×0.2)lb =5 lb water.

So the remaining water is = (40-5) lb= 35 lb

Let y is distance above the original depth of 50 ft.

When y=50 ft, weight of the bucket= 40 lb,when y=0 weight of the bucket= 35 lb

The slope of the of water leakage is

=\frac{40-35}{50-0}

=\frac{1}{10}

The bucket holds (40-\frac1{10}y) lb of water when it is y ft above the original depth.

Work done to pull the water in the bucket is

=\int _0^{50}(40-\frac1{10}y)dy

=[40y- \frac1{10}y^2]_0^{50}

=[(40\times 50)-\frac1{10}(50)^2]-[(40\times 0)-\frac1{10}(0)^2]

=1750 ft-lb

Therefore total work done

=Work done to pull the bucket+Work done to pull the water in the bucket

=(300+1750) ft-lb

=2050 ft-lb

5 0
3 years ago
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Your math teacher loves to collect markers and pencils. If she has 9 more markers than pencils and has a total of 41 writing ute
yarga [219]

Answer:

16

Step-by-step explanation:

There is a total of 41 writing utensils, if you have 9 more pencils than markers you need to subtract 9 from 41. Then half that number so you will get the total amount of pencils.

41-9=32

32/2=16

4 0
2 years ago
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