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adelina 88 [10]
3 years ago
8

An artist cuts the bottom 4 inches from an empty sphere with a radius of 12 inches to make a bowl. How long, to the nearest tent

h inch, is the rim of the bowl? Show your work.
answer fast, please
(the cm on the circle is typo should be inches)

Mathematics
1 answer:
Zolol [24]3 years ago
6 0

We have been given that an artist cuts the bottom 4 inches from an empty sphere with a radius of 12 inches to make a bowl. We are asked to find the length of the rim of the bowl.

The rim of the bowl will be equal to the perimeter of circle with radius of 12 inches.

\text{Perimeter of circle}=2\pi r, where r represents radius of circle.

\text{Perimeter of circle}=2\pi (12\text{ inches})

\text{Perimeter of circle}=24\pi \text{ inches}

\text{Perimeter of circle}=75.39822 \text{ inches}

\text{Perimeter of circle}\approx 75.4 \text{ inches}

Therefore, the rim of the bowl is approximately 75.4 inches.

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Im really confused can somebody explain this?
vovikov84 [41]

<u>Given</u>:

The given ratio is 16 : 12

We need to determine three ratios that are equivalent to the given ratio.

<u>Option A</u>: 8:6

The given ratio is 16 : 12

Let us divide the given ratio 16 : 12 by 2.

Thus, we have;

8:6

Hence, the expression 8:6 is equivalent to 16 : 12

Thus, Option A is the correct answer.

<u>Option B</u>: 32:24

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio 16 : 12 by 2, we get;

32:24

Thus, the expression 32:24 is equivalent to 16 : 12

Hence, Option B is the correct answer.

<u>Option C</u>: 4:3

Let us divide the given ratio 16 : 12 by 4.

Thus, we have;

4:3

Thus, the expression 4:3 is equivalent to 16 : 12

Hence, Option C is the correct answer.

<u>Option D</u>: 12:8

The number 12 goes by 16 in \frac{3}{4} times and the number 8 goes by 12 in \frac{2}{3} times.

The ratios are multiplied by different numbers.

Thus, the expression 12:8 is not equivalent to 16 : 12

Hence, Option D is not the correct answer.

<u>Option E</u>: 24:16

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression 24:16 is not equivalent to 16 : 12

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C

5 0
3 years ago
Natalie had a job after school. She worked 25 hours a week and got paid $6.25 an hour. How much money would she earn for two wee
erastovalidia [21]

Answer:

312.5

Step-by-step explanation:

25 x 2, for two weeks of work = 50

50 x 6.25 = 312.5

6 0
3 years ago
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The sides of whiteboard are 1 foot by 1 foot. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whitebo
Wittaler [7]
18 post it notes are needed to cover the entire bored.
6 0
3 years ago
Examine the following equation and classify the type of solution.
Viktor [21]

Answer:

<h2>infinitely many solutions</h2>

Step-by-step explanation:

5x - 6 = 3x - 6 + 2x     <em>combine like terms</em>

5x - 6 = (3x + 2x) - 6

5x - 6 = 5x - 6         <em>subtract 5x from both sides</em>

-6 = -6        TRUE

Therefore the equation has infinitely many solutions.

5 0
3 years ago
Help with this .........
Umnica [9.8K]

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

Supplementary angles total 180°.

  5x° +x° = 180°

  6x = 180

  x = 180/6 = 30

The value of x is 30.

6 0
3 years ago
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