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Daniel [21]
3 years ago
7

How do you solve 2-3y >1 as a inequalities​

Mathematics
1 answer:
marishachu [46]3 years ago
7 0

For this case we have the following inequality:

2-3y> 1

We solve by following the steps below:

We subtract 2 from both sides of the inequality:

-3y> 1-2

Different signs are subtracted and the sign of the major is placed:

-3y> -1

We divide between 3 on both sides of the inequality:

-y>\frac {-1} {3}\\-y> - \frac {1} {3}

We multiply by -1 on both sides taking into account that the sense of inequality changes:

y

ANswer:

The solution is: y

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The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

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The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

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