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ch4aika [34]
3 years ago
13

A cylinder has a volume 1200 cubic inches and radius 5 inches. What is the height of the cone to the nearest tenth inch

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer: 15.3 in

Step-by-step explanation:

First, the formula for the volume is: V=\pi r^2h

If you solve for h,

h=\frac{V}{\pi r^2}

h=\frac{1200in^3}{(3.14)(5in)^2}

h=15.3in

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y < 3x - 8

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Find the area of the figure
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This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.
Ghella [55]

The area of the given shape is 220.24 square cm.

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

5 0
3 years ago
An elevator ascends, or goes up, at a rate of 750 feet per minute. Is the height to which the elevator ascends proportional to t
Monica [59]

Answer:

Yes

Step-by-step explanation:

We know this because the proportion can be used to find another answer.

Example:

How many feet did the elevator ascend in 0.25 minutes?

 750           x

---------- = ----------

    1           0.25

750(0.25) = 1x

187.5 = x

***Sorry about the format. Hope this helps!

6 0
2 years ago
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