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FrozenT [24]
3 years ago
13

What is the exact volume of the cylinder

Mathematics
2 answers:
kirza4 [7]3 years ago
6 0

Answer:

170

Step-by-step explanation:

v=πr²h

r²/radius=3 in

h/height=6 in

v=π3²6

3.14*3²*6=169.65

round 169.65=170

hope this helps :) have a nice day !!

Aleksandr-060686 [28]3 years ago
3 0

Step-by-step explanation:

Volume of cylinder=πr²h=3.14 x 9 x 6=169.56 in³

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Answer:

<u><em></em></u>

  • <u><em>32 days</em></u>

Explanation:

Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:

First night:          1 penny = 2⁰

Second night:    1 × 2 pennies = 2¹

Third night:        2 × 2 = 2²

Fourth nigth:      2² × 2 = 2³

nth night:           2ⁿ⁻¹

You want 2ⁿ⁻¹ ≥ 2,000,000,000

Which you solve in this way:

  • 2ⁿ⁻¹  ≥ 2,000,000,000

  • 2ⁿ⁻¹ ≥ 2,000,000,000

  • n-1 log (2)  ≥ log (2,000,000,000)

  • n - 1  ≥ log (2,000,000,000) / log (2)

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  • n ≥ 31.9

Since n is number of days, it is an integer number, so n ≥ 32.

Hence, she will have a total of more than $ 2 billion after 32 days.

You can prove that by calculating 2³² = 2,147,483,648.

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What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16
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Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

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Multiply the bottom part by 2.

2x + 4y = -16

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Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

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Plug y = 2 to the 2nd equation.

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Subtract 4 from both sides.

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Multiply both sides by -1.

x = -12

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Answer:

The answer is in the attached file below

Step-by-step explanation:

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Answer: x is 45, y is 80

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subtract the angles surrounding x (70 - 25 = 45)

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