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Alika [10]
2 years ago
7

A quarter cone has a diameter of 16 and a height of 10. What is the approximate volume of the quarter cone? Round to the nearest

tenth where necessary.
Mathematics
1 answer:
mr Goodwill [35]2 years ago
8 0

Answer:

167.6 units^3

Step-by-step explanation:

Find the volume of the entire cone, and then divide the result by 4 to obtain the volume of the quarter cone:

Formula for the volume of a cone is V = (1/3)(base area)(height)

In this case the volume of the entire cone is V = (1/3)(pi)(8)^2*(10), or

670.21.

Taking 1/4 of this, we get the volume of the quarter cone:

670.21/4 = 167.6 units^3

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Hello everyone!
Ivan
After 1 year it is worth 108% of its original value
108% = 1.08
so 1.08 x 1000 = $1080

After 2nd year it is worth 92% of that $1080
92% = 0.92
so 0.92 x 1080 = $993.60
3 0
2 years ago
Help me with 20 please
Murrr4er [49]

24%------360(24% is 360m)

100%-------x (100% is x)

to find x we have too cross multiply

x=100*360/ 24= 1500

hope this helps

8 0
3 years ago
AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle
Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1339.9}{40} = 33.5

S.D = 11(given)

n = 40

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

6 0
3 years ago
General douglas MacArthur, one of the leading generals in World War II was born in 1880 and died in 1964 how old was he when he
malfutka [58]

Answer: he was 84 years old when he died and the fractional part of a century that he live is 21/25

Step-by-step explanation:

General Douglas MacArthur, one of the leading generals in World War II was born in 1880. He died in 1964. The number of years that he lived would be the year he died - the yea he was born. Therefore,

His age when he died

= 1964 - 1880 = 84 years.

The number of years in a century is 100. Therefore, the fractional part of a century that he lived would be

84/100 = 21/25

4 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
tankabanditka [31]

Answer:

Step-by-step explanation:

Can you upload another picture?

3 0
2 years ago
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