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KengaRu [80]
3 years ago
8

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 10m and a depth of 1.4

m. Suppose water is pumped out of the pool at a rate of 18 m3 per hour. If the pool starts completely full, how many hours will it take to empty the pool?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer: 10 hours-around that number

Step-by-step explanation:

(3.14)*52*1.4 m3 = 109.9 m3 of water.-area

at the rate of 18m3 per hour

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Help please ............ must show work​
ehidna [41]

1. 4^2+4^2=n^2

16+16=n^2

32=n^2

n=5.66

2. n^2+8^2=12^2

n^2+64=144

n^2=80

n=8.94

3. 5^2+7^2=n^2

25+49=n^2

74=n^2

n=8.60

4. 5^2+n^2=13^2

63+121=n^2

185=n^2

n=13.60

5.8^2+11^2=n^2

64+121=n^2

185=n^2

n=13.60

6. 7^2+11^2=n^2

49+121=n^2

170=n^2

n=13.04

7.6^2+10^2=n^2

36+100=n^2

136=n^2

n=11.66

8. 9^2+n^2=16^2

81+n^2=256

n^2=175

n=13.23

9.8^2+n^2=12^2

64+n^2=144

n^2=80

n=8.94

7 0
3 years ago
PLEASE HELPPPP
12345 [234]

Answer:

approx  193200

Step-by-step explanation:

As known for normal distribution is correct the rule 95.4% of the results are situation within mean+-2*s  ( where s is a standard deviation)

So the border is 100+-2*15=70 and that is approx=67.

95.4% of 84000000 citizens are= 8 400 000*0.954=8013600 persons

So the residual number of the citizens =8400000-8013600=386400 citizens

Because of the simmetry of normal distribution to find the number of the citizens that have IQ below 67 we have to divide 386400 by 2.

N=386000/2=193200

3 0
4 years ago
The area of a rectangle is <img src="https://tex.z-dn.net/?f=14ft%5E2" id="TexFormula1" title="14ft^2" alt="14ft^2" align="absmi
svetlana [45]

Answer:

So, Width  = 7/2 or 3.5

Length =  4

Step-by-step explanation:

Area of rectangle = 14 ft^2

Let width of rectangle 2 = x

and Length of rectangle = 2x-3

Formula used for area of rectangle

Area = Length * Width

14 = (2x - 3) x

14 = 2x^2 - 3x

=> 2x^2 -3x -14 = 0

Solving the quadratic equation using factorization

-28 x^2 = -7x * -4x

2x^2 -7x + 4x -14 = 0

x (2x -7) +2(2x-7) = 0

(x+2) (2x-7) =0

=> x + 2 =0 and 2x -7 = 0

x = -2 and x = 7/2

Since width cannot be negative so, x= 7/2

Width= x = 7/2

Length = 2x -3 => 2(7/2) - 3

=> 7 -3

=> 4

So, Width =  7/2 or 3.5

Length =  4.

7 0
4 years ago
Read 2 more answers
X-1.6=2.4+0.8x solve for x. <br><br>What did I do wrong?
trapecia [35]

\bf x-1.6=2.4+0.8x\implies \stackrel{\textit{subtracting 2.4}}{x-4=0.8x}\implies \stackrel{\textit{subtracting x}}{-4=0.8x-x} \\\\\\ -4=-0.2x\implies \cfrac{-4}{-0.2}=x\implies 20=x

3 0
4 years ago
Plz help and plz show work
emmainna [20.7K]

Answer:

one solution and x=40

Step-by-step explanation:

8x-32=6x+48

2x=80

80÷2

x=40

7 0
4 years ago
Read 2 more answers
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