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3 years ago

8

For the graph, what is a reasonable constraint so that the function is at least 600? graph of y equals minus 2 times the square

of x plus 40 times x plus 600 0 ≤ x ≤ 20 −10 ≤ x ≤ 30 x ≥ 0 All real numbers

1 answer:

zloy xaker [14]3 years ago

6 0

Answer: it the first option, 0 is less than or equal to x less than or equal to 20

Step-by-step explanation: i took the test :)

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Given data:

The diameter of the cut sphere, D=14 in.

The radius of the cut sphere is,

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The cut sphere is called a hemisphere.

The surface area of a sphere is

$A_1=4\pi r^2$

So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,

$\begin{gathered} A_2=\frac{4\pi r^2}{2} \\ A_2=2\pi r^2 \end{gathered}$

The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,

$A_3=\pi r^2$

Therefore, the total area of the hemisphere is,

$\begin{gathered} A=A_2+A_3 \\ A=2\text{ }\pi r^2+\pi r^2 \\ A=3\text{ }\pi r^2 \end{gathered}$

The total surface area of a hemisphere is,

$\begin{gathered} A_{}=3\text{ }\pi r^2 \\ A=3\text{ }\pi\times7^2 \\ A=461.8in^2 \end{gathered}$

Therefore, the total surface area of the cut sphere is 461.8 square inches.

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