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3 years ago

The area of circle B is 144 pi ft². Find the circumference of circle B.

2 answers:

8 0

Circumference = square root (Area * 4 * PI)
circumference = square root ( 452.3893421169 * 4 * PI )
circumference = square root ( 5,684.8921350275)
circumference = 75.3982236862

vredina [299]3 years ago

4 0

Answer: B. 24(3.14)ft

Step-by-step explanation:

Edge

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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 as a function of x 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 sum represents the partial fraction decomposition?

Alex Ar [27]

It's the last option again. You have 1 linear factor (3x) and 2 copies of a quadratic factor (x² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.

7 0

2 years ago

What is the x-value in the solution to this system of linear equations?

ASHA 777 [7]

Answer:

Step-by-step explanation:

The y-variable can be eliminated by adding 3 times the first equation to the second:

3(2x -y) +(x +3y) = 3(11) +(-5)

7x = 28 . . . . simplify

x = 4 . . . . . . . divide by 7

_____

Using Cramer's Rule, you can also find the x-value. The math is not so different.

x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4

8 0

2 years ago

What line is parallel y=5x-3

Korvikt [17]

Im pretty sure its y= 5x-2

4 0

3 years ago

A university's freshman class has 5000 students. 50% of those students are majoring in Computer Science. How many students in th

Mazyrski [523]

2500 students are computer science majors

4 0

2 years ago