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Dahasolnce [82]
3 years ago
6

A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

<h2>       H ≈ 10.994424 m ≈ 11 m</h2>

Step-by-step explanation:

V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m

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Julie, a police officer, has the following work pattern. She works 3 days, has 4 days off, then works 4 days, then has 3 days of
zalisa [80]

Answer:

See below.

Step-by-step explanation:

For each day number, Y means working, and N means off

Day

1   Y

2   Y

3   Y

4   N

5   N

6   N

7   N

8   Y

9   Y

10   Y

11   Y

12   N

13   N

14   N

15   Y

16   Y

17   Y

18   N

19   N

20   N

21   N

22   Y

23   Y

24   Y

25   Y

26   N

27   N

28   N

29   Y

30   Y

31   Y

32   N

33   N

34   N

35   N

36   Y

37   Y

38   Y

39   Y

40   N

41   N

42   N

43   Y

44   Y

45   Y

46   N

a. Today is day 1. 30 days from today is day 31.

She works on day 31, so she does work 30 days from today.

b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.

8 0
3 years ago
Read 2 more answers
A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of
Studentka2010 [4]

Answer:

The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

Step-by-step explanation:

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of  8 dollars.

Mean = \mu = 87

Standard deviation = \sigma = 8

We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)

Z=\frac{x-\mu}{\sigma}

At x = 104.60

Z=\frac{104.60-87}{8}

Z= 2.2

At x=108.20

Z=\frac{108.20-87}{8}

Z= 2.65

Refer the z table for p value :

P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099

Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

4 0
3 years ago
Find the area of the shaded region. The gray ones with grains are the shaded regions. ​
Kobotan [32]

Answer:

1) 69.5

2) 678.6

Step-by-step explanation:

pi3^2=28.27*9=254.5    18*18=324-254.5=69.5

pi24^2=1809.6*.5=904.8 pi6^2=113.1*.5=56.55*4=226.2  904.8-226.2=678.6

6 0
2 years ago
Write the fractions in order greatest to least. 1/2, 1/4, 1/3
Lelechka [254]
Firts1/2,
2) 1/3,
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4 0
3 years ago
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determine if the ordered pair is a solution of the equation is (2,4) a solution of y = 10 -3×? true or false​
anzhelika [568]

Answer:

False

Step-by-step explanation:

4 = 10 - 3²

4 = 10 - 9

4 = 1

7 0
3 years ago
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