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gulaghasi [49]
3 years ago
9

The circumference of a circle is 16π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Mathematics
2 answers:
TiliK225 [7]3 years ago
7 0

Answer:

64\pi

Step-by-step explanation:

The area of a circle can be found using:

a=\pi r^{2}

We have the circumference, but we need the radius. Circumference can be found using:

c=2\pi r

We know the circumference is 16\pi, so we can substitute that in for c

16\pi =2\pi r

We need to solve for r, or the radius. To do this, divide both sides by 2\pi. This will get r by itself.

16\pi /2\pi =2\pi r/2\pi  

8=r

Now we know the radius, and can substitute it into the area formula

a=\pi r^2

Substitute 8 in for r

a=\pi 8^2

a=64\pi

This answer is expressed in terms of pi, since it includes pi in the answer. Therefore, the area, in terms of pi is 64\pi

zepelin [54]3 years ago
4 0

Answer:

64 pi

Step-by-step explanation:

lmk if you need an explanation

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3 years ago
If the coefficient of determination for a data set containing 24 points is 0.5,
aleksandrvk [35]

Answer:

False

Step-by-step explanation:

False - one has nothing to do with the other. None of the data points can lie on the regression line,

and you can have the coeff. of determination be 0.5.

7 0
3 years ago
18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

__

1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

__

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

__

<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
Solve this with the explanation please
nikitadnepr [17]
  1. yes,
  2. 301 times.

Hope it helps

8 0
2 years ago
7.1 + 16.04 – .2 = ? <br><br>       A. 23.34   B. 2.294   C. 23.12   D. 22.94
tamaranim1 [39]
The answer you're looking for my good lad is C
6 0
3 years ago
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