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torisob [31]
3 years ago
8

What is the circumference of a circle with an area of 200.96 cm??

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0

Answer:

circumference is 50.24cm

Step-by-step explanation:

πr^{2} = 200.96

r = \sqrt{200.96/\pi } = \sqrt{200.96/3.14}=8

Circumference = 2πr = 2 x.3.14.x 8 = 50.24

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The same number of people live on the islands Beautiful Sunrise and Gorgeous
aev [14]

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, we have that:

  • We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
  • There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

P = \frac{a}{x} \times 100\%

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

\frac{x + a}{x - a} = 7

We can find a <u>as a function of x</u> to find the percentage:

\frac{x + a}{x - a} = 7

7(x - a) = x + a

7x - 7a = x + a

8a = 6x

a = \frac{3x}{4}

Then, the percentage is:

P = \frac{a}{x} \times 100\%

P = \frac{\frac{3x}{4}}{x} \times 100\%

P = \frac{3}{4} \times 100\%

P = 75\%

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

7 0
2 years ago
Which of these values represents the largest distance?
GarryVolchara [31]

Answer:C 5000 feet

Step-by-step explanation:It’s slightly less then a mile.

7 0
3 years ago
Read 2 more answers
Convert 13 over 7 into a mixed number
zalisa [80]

Answer:

13/7

7 goes into 13 1 time

13 minus 7 equals 6

Answer 1 6/7

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Simplify (1 − cos x)(1 + cos x). (2 points)
Vadim26 [7]

Answer:

sin²x

Step-by-step explanation:

we have

(1 − cos x)(1 + cos x)=1-cos²x

Remember that

sin²x+cos²x=1 ------> i-cos²x=sin²x

therefore

(1 − cos x)(1 + cos x)=sin²x

4 0
3 years ago
Read 2 more answers
What is the length of BC? Round to the nearest tenth.
emmasim [6.3K]

9514 1404 393

Answer:

  (c) 14.5 cm

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(65°) = BC/BA

  BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm

  BC ≈ 14.5 cm

_____

<em>Additional comment</em>

As is often the case, a simple estimate is all that is needed to identify the correct answer choice.

You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.

4 0
3 years ago
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