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Liono4ka [1.6K]
2 years ago
11

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Mathematics
1 answer:
Leni [432]2 years ago
8 0

Answer:

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)(pi)r^3.

Here, with r = 3 in, the volume is

V = (4/3)(3.14)(3 in)^2, or  V  =  36(pi)(27 in)^3 = 36pi in^3

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Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30
sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0
1 year ago
Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas e
Amanda [17]

Answer:

Victor should buy Legend because it has a better unit rate

<em></em>

Step-by-step explanation:

See attachment for complete question.

To determine which car has more gas efficiency, we have to calculate the slope of each car.

Vehicle 1: Legend

Take any two corresponding points from the table

(x_1,y_1) = (4,72)

(x_2,y_2) = (12,216)

The slope is then calculated using;

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{216 - 72}{12 - 4}

m = \frac{144}{8}

m = 18

<em>This implies that this vehicle (legend) travels 18 miles per gallon of gas</em>

Vehicle 2: Supreme

Take any two corresponding points from the graph

(x_1,y_1) = (0,0)

(x_2,y_2) = (15,250)

The slope is then calculated using;

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{250 - 0}{15 - 0}

m = \frac{250}{15}

m = 16.7

This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas

<em>Base on the calculations above, Victor should buy Legend because it has a better unit rate</em>

6 0
3 years ago
An adult has a total of about 22.5 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to conv
zheka24 [161]

Answer:

There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.

3 0
4 years ago
PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP
fiasKO [112]

Answer:

6

Step-by-step explanation:

2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.

8 0
3 years ago
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Novay_Z [31]

Answer:

Step-by-step explanation:

the answer is 45

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2 years ago
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