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Kruka [31]
2 years ago
13

The volume of a cone is 20π cubic meters. What is the volume of a cylinder with the same base and height?

Mathematics
2 answers:
aliina [53]2 years ago
5 0

Answer:

60

Step-by-step explanation:

Hope that helps! :)

garri49 [273]2 years ago
4 0
Volume of cylinder = 3 x volume of cylinder 20π x 3 = 60π
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Step-by-step explanation:

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2 years ago
Julia has 3 ribbons that are 12 inches each. how many 4 inch sections can she cut from the ribbon.
Ber [7]
Total length of all ribbons = 12 * 3 = 36 inch

Then, number of ribbons = 36/4 = 9

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Hope this helps!
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3 years ago
Find the distance between the 2 points (6, - 4) and (2, - 7). Please show me how you found it.
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5 0
3 years ago
Verifying Trig Functions
anzhelika [568]

Answer:

The answer to your question is below

Step-by-step explanation:

                csc α - cot α = \frac{sin \alpha }{1 + cos \alpha }

Work with the left part

                \frac{1}{sin\alpha } - \frac{cos \alpha }{sin \alpha}

Simplify

                \frac{1 - cos\alpha }{sin\alpha }

Multiply by the reciprocal

 \frac{1 - cos\alpha }{sin \alpha } x \frac{1 + cos\alpha }{1 + cos\alpha }                                  

Simplify

\frac{1 - cos^{2}\alpha}{sin\alpha (1 + cos\alpha)}

Remember that

                 sin²α = 1 -cos²α

Substitute the previous equation

\frac{sin^{2}\alpha }{sin\alpha(1 + cos\alpha ) }

Simplify

\frac{sin\alpha}{1 + cos \alpha}      

The identity i proved.            

5 0
3 years ago
Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.
Elenna [48]

9514 1404 393

Answer:

  • interest: $63
  • balance: $9063

Step-by-step explanation:

After 6 months, the interest accrued is ...

  I = Prt

  I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

  $9000 +63 = $9063

__

The interest earned in the first 6 months is $63. The balance after 6 months is $9063.

_____

The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

  A = P(1 +r/n)^(nt)

where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...

  A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063

5 0
2 years ago
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