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andrey2020 [161]
3 years ago
5

Austin is using a funnel shown to fill a glass bottle with colored sand Estimate the volume of the funnel number 21 please

Mathematics
1 answer:
Basile [38]3 years ago
5 0
The volume of a frustum of a cone is given by
.. V = (1/3)*π*h*(R^2 +r^2 +R*r)
We will assume the diameter at the bottom is 1 1/2 inch. Then the slanted part has volume
.. V = (1/3)*π*4*(2.5^2 +.75^2 +2.5*.75) ≈ 36.39 . . . . in^3

The volume of the 1-inch cylinder at the bottom is
.. V = π*(1/2)^2*1 = π/4 ≈ 0.79 . . . . in^3

Then the total volume of the cone is approximately 37.18 in^3.
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Komok [63]

Answer:

The correct answer is x = 3 and y = 2.

Step-by-step explanation:

There are many ways to solve systems of equations like this, but I'm going to use substitution.  This means taking the value of y given by the second equation and plugging it into the first equation.  This is modeled below:

2x - y = 4

2x - (-2x+8) = 4

Now, we can simplify the left side of the equation.

2x + 2x - 8 = 4

4x - 8 = 4

We should add 8 to both sides as the next step.

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Now we can divide by 4.

x = 3

To solve for y, we can substitute this value found for x back into either one of our original equations.

y = -2x + 8

y = (-2*3) + 8

y = -6 + 8

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Therefore, the correct answer is x = 3 and y = 2.

Hope this helps!

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Answer:

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Step-by-step explanation:

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Andreyy89

Answer: In 1607, English men and boys arrived in North America to start a settlement. On May 13th, they picked Jamestown, Virginia for their settlement, which was named after their King, James I. The settlement became the first permanent English settlement in North America.

Step-by-step explanation:

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