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3 years ago

15

Find the missing number ___:7 = 12:21 A.14 B.12 C.4 D.3

1 answer:

Nadusha1986 [10]3 years ago

6 0

<span>The question is asking us to "find the missing number ___:7 = 12:21 First, let's see how similar are 7 and 21 - 21 is 7 multiplied by 3. So the gap will be filled in by something that multiplied by 3 will give us 12. So we have : x*3=12, and also: x=12/4=4, so the answer is C.4</span>

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Find the area of this polygon

Levart [38]

<h3>Answer: 12 square units</h3>

Explanation:

Rectangle ABDE is 4 units across the horizontal, and 2 units tall.

The area of this rectangle is length*width = 4*2 = 8 square units.

Triangle BCD has a base of 4 and height 2. The area of which is base*height/2 = 4*2/2 = 4 square units.

The total area is

rectangle + triangle = 8 + 4 = 12 square units

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2 years ago

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3 years ago

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2 years ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

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3 years ago

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3 years ago