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tekilochka [14]
3 years ago
7

An arc is intercepted by a central angle of 3π2 radians on a circle with a radius of 18 centimeters. What is the exact length of

the arc? Enter your answer, in terms of π , in the box.
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

The length of the arc is 27\pi \ cm

Step-by-step explanation:

step 1

Find the circumference

we know that

The length of a complete circle is equal to the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=18\ cm

substitute

C=2\pi (18)

C=36\pi\ cm

step 2

we know that

A central angle of  2\pi radians subtends the circumference of 36\pi\ cm

so

by proportion

Find the length of the arc by a central angle of \frac{3\pi }{2} radians

\frac{36\pi }{2\pi}\frac{cm}{radians}=\frac{x}{(3\pi/2)}\frac{cm}{radians} \\ \\x=18*(3\pi/2)\\ \\x=27\pi \ cm

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agasfer [191]

Answer:

$72

Step-by-step explanation:

The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.

The cost of 3 pair of shoes

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= $45 + $27

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So, 3 pairs of shoes will cost $72 today.

8 0
3 years ago
Carol had 9/12 of a container of milk for the french toast she was cooking. She poured 2/3 of the container into the pan. How mu
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Answer:

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Step-by-step explanation:

To solve the question, we first note the variables

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This means that there will be only 1/12 of the container of milk left

4 0
4 years ago
X-30% is 12. What is X?
skad [1K]
If i'm not wrong,i think the answer is:

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5 0
3 years ago
Read 2 more answers
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Masja [62]

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Step-by-step explanation:

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4 0
3 years ago
johns test grades in his science class are 82, 93, 75, and 89 what is his average? 1. (87.45) 2. (80.00) 3. (90.40) 4. (89.25) 5
inessss [21]

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HOPE THIS HELPS!!

5 0
4 years ago
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