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3 years ago

PLEASE HURRY AND HELP A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

4 0

Answer:

$288\pi ft.^3$

Step-by-step explanation:

Diameter = 12 ft.

Radius = 12/2 = 6 ft.

Volume = $\frac{4}{3}\pi r^3$

$\\=> \frac{4}{3} \pi (6)^3\\\\=> \frac{4}{3} * 216 * \pi \\\\=>\frac{4*216*\pi }{3}\\ \\=>4 * 72 * \pi = 288\pi ft.^3\\$

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The table shows the transportation method of employees at a certain company. What percent of the total amount of employees drive

Aleks04 [339]

Answer:

about 0.38 %

Step-by-step explanation:

Total = 1,400 Employees

Those who drive a bus = 530

530 / 1,400 = 0.378571428571429

round up = about 0.38 %

3 0

3 years ago

Lines AC and ED intersect at point B. If the m∠ABD = 5x - 5 and the m∠EBC = 3x + 15, ∠ABD and ∠EBC are what kind of angles?

Paraphin [41]

If Lines AC and ED intersect at point B, then ∠ABD and ∠EBC are vertically opposite angles

The point where two lines meet is known as an angle.

If line Lines AC and ED intersect at point B, then ∠ABD and ∠EBC will be vertically opposite to each other (They will be equal).

To show that the are equal

Given the angles

m∠ABD = 5x - 5

m∠EBC = 3x + 15

m∠ABD = m∠EBC (vertical angles)

5x - 5 = 3x + 15

5x - 3x = 15 + 5

2x = 20

x = 10

Substitute x = 10 into m∠ABD and m∠EBC

m∠ABD = 5x - 5

m∠ABD = 5(10)-5

m∠ABD = 50 - 5

m∠ABD = 45

Get m∠EBC

m∠EBC = 3x+15

m∠EBC = 3(10)+15

m∠EBC = 30+15

m∠EBC = 45 degrees

We can see that both angles are equal. Hence we can also conclude that they are vertically opposite angles

Learn more here: brainly.com/question/23466343

3 0

3 years ago

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choic

HACTEHA [7]

Hello,

x= number of points for each multiple choice question correct
L= Louann's score
C= Carla's score

Louann got 14 multiple choice questions correct and 24 points for her essay, so:

$L=14*x+24$

Carla got 16 multiple choice questions correct and 14 points for her essay, so:

$C=16*x+14$

But we know that they got the same score, then:

$L=C \\ 14x+24=16x+14 \\ 10=2x \\ \boxed{x=5}$

Answer: Each multiple choice question was 5 points

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3 years ago

Read 2 more answers

Pls help me it is so hardddddd

inna [77]

Answer:

3 1/3 cups

Step-by-step explanation:

you can set up a proportion based on the ratio of 2 cups cashews to 3 cups flour

let 'c' = # cups of cashews needed with 5 cups of flour

2/3 = c/5

cross-multiply to get:

3c = 10

c = 10/3 or 3 1/3 cups

6 0

3 years ago

Apparently I cant simplify

Mashcka [7]

Answer: 3a

Step-by-step explanation:

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3 years ago

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