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Dmitriy789 [7]
3 years ago
15

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

Part A) Circumference

Part B) C=\pi D

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

so

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

so

C=\pi D

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

D=200\ ft ----> diameter of the Ferris wheel

substitute in the formula of circumference

C=\pi (200)\\C=200\pi\ ft

assume

\pi=3.1416

C=200(3.1416)=628.32\ ft

therefore

The distance traveled in one rotation is 628.32 feet

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Fed [463]

Answer:

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3 years ago
510 exercise books were shared among schools X, Y and Z. such that Z had 3/2 times as much as Y; and Y had 3 times as much as X.
ycow [4]
Overall, the goal is to find the value of x and then use this and the given total to find the percentage of x. First, to do this, we must set up our equations based on the given information.

x + y + z = 510

z = (3/2)y

y = 3x

Now, we can begin to solve with substitution. The ultimate goal is to get the first equation to be regarding one variable and them work backwards using that found value.
Substitute the 3rd equation into the second.

z = (3/2)(3x) ----> Simply
z = (9/2)x

Now, when we plug in z and y into the first equation, only x will be present.

x + (3x) + (9/2)x = 510 ---> Combine like terms.
4x + (9/2)x = 510 ---> Get a common denominator.

(8/2)x + (9/2)x = 510

(17/2)x = 510 -----> Multiply both sides by 2/17

Now, if you understand what you are looking at, you know that you just found your answer which is 2/17 because you are about to multiply that by the total.

2/17 = .12 × 100 = 12%

If you did not know that, you can continue solving and then find the answer using part over whole or the total books of school x divided by the total books from all schools. You will get the same answer!

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I hope this helps!





8 0
4 years ago
Solve the equation.<br> 3 (-5y+2) = 21
soldier1979 [14.2K]

Answer:

y= -1

Step-by-step explanation:

divide both side by 3

then you'll get -5+2=7

subtract 2 from both sides to get

-5y=5

divide -5 on both sides and you'll get y= -1

(hope my explanation made sense to you)

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3 years ago
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Answer:

0.003424657534%

Step-by-step explanation:

1 / 29,200 = 0.003424657534%

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3 years ago
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