Solve the inequality for x. Show each step of the solution. 4x-6(x+1)>12

1 answer:

8 0

Answer:

x < - 9

steps:

4x - 6(x + 1) > 12

2x - 3(x + 1) > 6

2x - 3x - 3 > 6

2x - 3x > 6 + 3

-x > 6 + 3

-x > 9

x < -9

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Find the volume of the composite solid. Round your answer to the nearest tenth

Vesna [10]

Answer:

V = 1206.3 $ft^{3}$

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = $\pi$ $r^{2}$ x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = $\pi$ x $8^{2}$ x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = $\frac{\pi r^{2}h }{3}$ . This is the area of the circular part of the cone ( $\pi r^{2}$ ), multiplied by the height from the point to the base, all divided by 3.