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alexdok [17]
3 years ago
12

A cone-shaped water tank is completely filled. The tank has a depth of 12 feet and a radius of 29 feet. A pump removes water fro

m the tank at a rate of 1000 cubic feet per hour.
What is the volume of water in the tank before the water is pumped out?
Use 3.14 to approximate π and express your final answer to the nearest hundredth.
How many hours will it take to drain all the water?
Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

Volume = 10562.96  cu ft

10.56 hr. to drain all the water

Step-by-step explanation:

V = 1/3Bh        B = area of the base           h = height

The base is a circle, so B = \pi r^{2}

V = \frac{1}{3} (3.14) (29^{2})(12) = 10562.96  cu ft

10562.96/1000  = 10.56 hr.

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Electrical poles that carry elecrtical wire seem to get smaller the farther away they are. Find the apparent height of each pole
lisabon 2012 [21]

Answer:

The answer to the question is;

Then the apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between each pole is \frac{50*x}{(x + 100*n)} .

Step-by-step explanation:

To answer the question we have

Let the location of the closest pole = x

Let the height of the closest pole = h feet

Also let the actual  height of the pole at location 100×n feet away be 50 feet

Where n = 1, 2, 3, ...∞

Then we have by taking tangent of the similar triangles so formed by the poles

Then h/x = 50/(x +100·n)

Therefore h = 50 × x/(x +100·n) = 50·x ÷(x + 100·n) = 50 \frac{x}{(x + 100n)} feet

The apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between each pole is 50·x /(x+100·n) where n is the number of 100 feet further away the pole is e.g when n = 1 we have

h = 50·x /(x+100·1)  = 50·x /(x+100)

5 0
3 years ago
If 5/6 is divided by a certain fraction a/b, the result is 1/4. What is the fraction a/b?
vodka [1.7K]
The fraction would be 10/3.  Hope this helps!
3 0
3 years ago
John received $50.00 from his aunt for his birthday and wants to buy a new video game with the money. ​ ​The total cost of the v
harkovskaia [24]

Answer:

21.44

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
8. A novel has 14 times as many pages as a short story. The combined number
alekssr [168]

Answer:

The short story have 26 pages

The novel's pages is  364

Step-by-step explanation:

Step one:

given data

let the short story have x pages

so that the novel's pages will be 14x

the combined pages for novel and short story is =390 pages

Required

the individual number of pages

14x+x=390

15x=390

divide both sides by 15

x=26

the short story have 26 pages

the novel's pages will be 14(26)= 364

4 0
3 years ago
Hello, please help me answer these questions. Thanks
wlad13 [49]

Answer:

1. C = 360 - (77 + 123 + 86) = 74

2. x = 252

   D = 290

3. x = 20

  S = 47

  P = 131

4. 36, 72, 108, 144

Step-by-step explanation:

Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.

1. C = 360 - (77 + 123 + 86) = 74

2. x + 38 = 360 - (124 + 97 + 69) = 290

   x = 290 - 38 = 252

   D = 290

3. (27 + x) + (3x + 71) = 360 - (119 + 63)

   27 + x + 3x + 71 = 178

  4x = 80

  x = 20

  S = 27 + x = 27 + 20 = 47

  P = 3x + 71 = 3(20) + 71 = 131

4. Let angles be x, 2x, 3x, 4x then

   x + 2x + 3x + 4x = 360

   10x = 360

   x = 36

  then the angles are 36, 72, 108, 144

5 0
3 years ago
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