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jonny [76]
3 years ago
6

A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approxima

te the volume of the mountain in
cubic kilometers.
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer: The volume of the mountain is 158.3 cubic kilometers.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= 1/3 π x radius² x height

Replacing with the values given:

V = 1/3 π (6)² 4.2

Solving for V (volume)

V = 1/3 π (36) 4.2 = 158.3 km³

The volume of the mountain is 158.3 cubic kilometers.

Feel free to ask for more if needed or if you did not understand something.

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Answer:

Your account balance shows your total assets minus total liabilities. ... In banking, the account balance is the amount of money you have available in your checking or savings account. Your account balance is the net amount available to you after all deposits and credits have been balanced with any charges or debits.

6 0
2 years ago
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Find the gcf of 8x and 22xy
Ksivusya [100]
The greatest common factor of 8x and 22yx is 2x.
I got this answer by factoring out 8 and 22:

8: 1,2,4,8
22: 1,2,11,22

Their greatest common factor was 2 and they both have x.

Your answer is 2x. 

Hope this helped! :)
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3 years ago
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Please help me thank you
denpristay [2]

Answer:

Step-by-step explanation:

First answer is 4. Second answer is 3/5.

5 0
3 years ago
What is the slope of the line whose equation is -48 = 2x - 8y?<br> Enter your answer in the box.
aleksandr82 [10.1K]

Answer:

The slope is \frac{2}{8}

Step-by-step explanation:

Take the general equation of a straight line y = mx+c

Here m is the slope of the line.

So let's get the equation of the line in the question in the same form.

-48 = 2x-8y

Add 8y to both sides: 8y - 48 = 2x

Add 48 to both sides: 8y = 2x + 48

Divide by 8 to get it into the general equation: y = \frac{2}{8} x + 6

Now compare it to the general equation to find the value of m. The value of m is the coefficient of x which we can see is \frac{2}{8}

3 0
3 years ago
A quantity b varies jointly with c and d and inversely with eWhen b is 18, c is 4, d is 9, and e is 6What is the constant of var
777dan777 [17]

Answer:

constant of variation = 3

Step-by-step explanation:

we know that b varies jointly with c and d

so:

b∝c∝d

and b varies inversely with e, so

b∝\frac{1}{e}

and i will call the constant of variation k, this way we can make an equation for b in the following form:

b=k\frac{cd}{e}

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)

we know that when b is 18, c is 4, d is 9, and e is 6:

b=18\\c=4\\d=9\\e=6

substituting this in our equation for b:

b=k\frac{cd}{e}\\ 18=k\frac{(4)(9)}{6}

and we solve operations and clear for the constant of variation k:

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the constant of variation is 3.

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3 years ago
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