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12345 [234]
3 years ago
15

a rolling pin is shaped like a cylinder with a diameter of 2 inches and a height of 10 inches . how many square inches of space

does the rolling pin come in contact with after one complete roll?
Mathematics
1 answer:
Liula [17]3 years ago
3 0

Answer:

62.8 square inches

Step-by-step explanation:

we know that

To find out how many square inches of space the rolling pin comes in contact with after one complete roll, determine the lateral area of the rolling pin

The lateral area of a cylinder is given by the formula

LA=\pi Dh

we have

D=2\ in\\h=10\ in\\\pi=3.14

substitute

LA=3.14(2)(10)=62.8\ in^2

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If there are choices, please list them.

If not, it is certainly a capital gain if you live in the United States.

And capital gains are taxed. Again if you are in the US and you are not a trader, you will be taxed at a different higher rate if you sold it in less than a 1 year period.

Over a year and it is called a long term gain and the tax rate is lower. There's more about how to write off short term losses and gains, but that's getting into complexity you probably don't need to know about. 

Answer: Capital Gain <<<<<<
4 0
3 years ago
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3 years ago
The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).
garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

f(x)=x^2+6x+3

g(x)=f(x-2)

g(x)=(x-2)^2+6(x-2)+3  (Replaced x in f with (x-2))

g(x)=x^2-4x+4+6x-12+3 (Used (x+b)^2=x^2+2bx+b^2 and distributive property)

g(x)=x^2-4x+6x+4-12+3 (Gathered like terms)

g(x)=x^2+2x-5  (Simplified)

The vertex of a parabola occurs at (\frac{-b}{2a},g(\frac{-b}{2a}).

Let's find \frac{-b}{2a} first.

\frac{-2}{2(1)}=-1

Now we can obtain g(\frac{-b}{2a}) which is g(-1) in this case:

g(x)=x^2+2x-5

g(-1)=(-1)^2+2(-1)-5

g(-1)=1-2-5

g(-1)=-1-5

g(-1)=-6.

The vertex is (-1,-6).

6 0
3 years ago
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calcula
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Answer:

Step-by-step explanation:

Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.

7 0
3 years ago
1) Three bags of candies cost $5.75. Find the cost per bag.
FrozenT [24]

Answer:

$1.92

Step-by-step explanation:

To find the cost per bag we divide the total cost by the amount of bags so:

$5.75 / 3 = $1.91666667 per bag, which we can round up to $1.92 per bag.

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3 years ago
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