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poizon [28]
3 years ago
11

="latex-formula">
​
Mathematics
1 answer:
EastWind [94]3 years ago
6 0
4 (i literally had to think about this cause i thought it was too easy )
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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
A printer ink cartridge that can print 550 pages has already printed 127 pages. Which solution represents the correct equation a
andrezito [222]
The situation can be expressed with the following.

P=550-127
6 0
3 years ago
Read 2 more answers
Mustafa contributes 11% of his $67,200 annual salary to his 401(k) plan. What is his pretax income?
Juli2301 [7.4K]
11% of $67,200.
We need to keep in mind that some words and numbers here aren't important, like 401(k) plan. 
So what is 11% of $67,200?

\frac{11}{100}  * $67,200


11*$672

$7392

Hope this helps!
5 0
3 years ago
Read 2 more answers
Simplify and find the value of the expression if x=2 and y = 13xy (4x- 5y) +3xsquare y
maria [59]

Answer:

13 + 4(2) - 5(13) + 3

<em>multiply the numbers</em>

13 + 8 - 65 + 3

<em>calculate the sum or difference </em>

= -41

Step-by-step explanation:

3 0
2 years ago
Last week, the members of a weight loss support group collectively weighed 1,580 pounds. They just weighed in again and are now
rosijanka [135]

Answer: 1,501

Step-by-step explanation:

100% = 1,580

100% - 5% lost

95%

1580 x .95 = 1501

3 0
3 years ago
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