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olya-2409 [2.1K]
3 years ago
14

What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{60}{360}

     = 2π × 5 × \frac{1}{6}

     = \frac{10\pi }{6} ≈ 5.24 in (2 dec. places )

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The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did t
Viefleur [7K]

Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = \dfrac{\text{Increase in calories}}{\text{previous calories}}\times100

=\dfrac{300}{1500}\times100=20\%

Hence , the number of calories increased by 20%.

3 0
3 years ago
Rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)
hram777 [196]

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

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Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

3 0
2 years ago
Simplify (question is in the picture)
Sholpan [36]
Your answer is 26.9 so u could round it up to 27
3 0
3 years ago
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The __________ are tissues where gases from the air and the blood are exchanged.
Artyom0805 [142]

air sacs or alveoli the lungs and blood 3 transport

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7 0
3 years ago
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The length of the line segment <br><br> AB equals 3x+1<br><br> BC equals 4x-5<br><br> AC equals 8x-9
yanalaym [24]

Answer:

X = 5

Step-by-step explanation:

Here is what I am picturing (not to scale)

A ----------------B-----------C

We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).

With reference to the line, AB + BC = AC

So,

3x + 1 + 4x - 5 = 8x - 9

7x - 4 = 8x - 9

5 = x

4 0
3 years ago
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