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docker41 [41]
3 years ago
9

The volume of a cone with a radius of 7 cm is 147 cubic centimeters. Which expression can be used to find h, the height ofthe co

ne?147 R72 (h)O 147a147
Mathematics
1 answer:
spayn [35]3 years ago
4 0

The choices are not attached but we can solve the problem from the given information

Answer:

The expression can be used to find h is  h=\frac{3V}{\pi r^{2}}

The height of the cone is \frac{9}{\pi } cm

Step-by-step explanation:

The formula of the volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is the height of it

Let us find the height of the cone from the formula of its volume

∵ V = \frac{1}{3} π r² h

- Multiply both sides by 3

∴ 3 V = π r² h

- Divide both sides by π r²

∴ \frac{3V}{\pi r^{2}}=h

- Switch the two sides

∴ h=\frac{3V}{\pi r^{2}}

The expression can be used to find h is  h=\frac{3V}{\pi r^{2}}

∵ The radius of the cone is 7 cm

∴ r = 7

∵ The volume of the cone is 147 cm³

∴ V = 147

- Substitute them in the expression of the height to find it

∵  h=\frac{3(147)}{\pi (7)^{2}}

∴ h = \frac{9}{\pi } cm

The height of the cone is \frac{9}{\pi } cm

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At a track meet , 10 different runners compete in the 1600m run.
Zanzabum

Answer:

There are 3,628,800 different ways for the runners to finish.

Step-by-step explanation:

Arrangments of x elements:

The number of possible arrangments of x elements is given by the following formula:

A_{x} = x!

In this question:

10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So

A_{10} = 10! = 3628800

There are 3,628,800 different ways for the runners to finish.

4 0
3 years ago
Find the slope when given the following points (1 6) and (3 -4)
aalyn [17]

Answer:

Slope= (-4-6)/(3-1)

=-10/2

=-5

7 0
3 years ago
Which of the given expressions results in 0 when evaluated at x = 5?
kifflom [539]

The answer is C. 5-8 is -3. 5-5 is 0. When you multiply -3 by 0 the outcome is 0!

4 0
3 years ago
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an
ExtremeBDS [4]

Answer:

y\geq x-2

x+2y

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0+2}{2-0}

m=\frac{2}{2}

m=1

The equation in slope intercept form is equal to

y=mx+b

we have

m=1

b=-2 ---> the y-intercept is given

substitute

y=x-2

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

y\geq x-2

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0-2}{4-0}

m=\frac{-2}{4}

m=-\frac{1}{2}

The equation in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{2}

b=2 ---> the y-intercept is given

substitute

y=-\frac{1}{2}x+2

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

y

Rewrite

Multiply by 2 both sides

2y

x+2y

therefore

The system of inequalities is

y\geq x-2

x+2y

see the attached figure to better understand the problem

5 0
3 years ago
Read 2 more answers
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Anastasy [175]

Answer:it is 2 since it include3s all possible answers for both heads & tails.

Step-by-step explanation:

you can get a H1-4 & a T1-4 since you have 4 parts one the spinner & 2 things on a coin (Heads & tails) you can <u>just times 4*2 & know that you have 8 possible answers.</u>

8 0
3 years ago
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