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erik [133]
3 years ago
5

If r= 11 units and x = 14 units, then what is the volume of the cylinder

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

1694 \pi

Step-by-step explanation:

I don't see a diagram, so I'm assuming that  <em>r</em>  is the radius and <em>x</em> is the height of a right circular cylinder (like a soup can).

The volume of the cylinder can be found from the formula

V=\pi (\text{radius})^2 \cdot (\text{height})

using the variables in your problem, this is

V=\pi r^2x

Plug in the given values for <em>r</em> and <em>x</em>.

V=\pi(11)^2(14) \\ V=\pi(121)(14) \\ V=1694\pi

If you need an approximate decimal value for the volume, use a value of pi (ask your teacher how accurate it should be).

Example:  Using pi = 3.1416,

V \approx (1694)(3.1416)=5321.8704

You might be asked to round that answer, say to 5322 cubic units.

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A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
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Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

Now we find out if the ratios 12/200 and 9/150 are equal.

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7 0
2 years ago
Can somebody please help me with this problem please
Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

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