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Aleks04 [339]
3 years ago
15

The area of B is 144pi ft2 Find the circumference of b

Mathematics
2 answers:
baherus [9]3 years ago
8 0
A c=12 pi ft i think

juin [17]3 years ago
5 0
First, we use the area an the formula of the area to find the radius of the circle.

Area of circle = pi * r^2

144 pi ft^2 = pi * r^2

r^2 = 144 ft^2

r = 12 ft

The radius of the circle is 12 ft.

Now we use the circumference formula to find the circumference of the circle.

circumference of circle = 2 pi r

C = 2 * pi * 12 ft

C = 24pi ft
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Expand.<br> Your answer should be a polynomial in standard form.<br> (5r+2)(5r-2)=
djverab [1.8K]

Answer:

131.25

Step-by-step explanation:

25r²-10r+10r-4=0

25r²-4=0 (Since -10 and 10 cancel each other out)

25r²=4

Divide both sides by 4 to get r² = 6.25

Square both sides to get r = 2.5

Plug 2.5 back into the equation to get the answer of 131.25

8 0
3 years ago
T= k/k-2
mart [117]

Answer:

Step-by-step explanation:

t=\frac{k}{k-2} \\t(k-2)=k\\tk-2t=k\\-2t=k-tk\\-2t=k(1-t)\\\frac{-2t}{1-t}=k\\k= \frac{-2t}{1-t}

5 0
3 years ago
URGENT: statistics: A researcher wishes to estimate the percentage of adults who support abolishing the penny what size sample s
irina1246 [14]

Using the margin of error for the z-distribution, the sample sizes are given as follows:

a) 822.

b) 1068.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

We have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Item a:

The estimate is of \pi = 0.26, hence we solve for n when M = 0.03.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.26(0.74)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.26(0.74)}

\sqrt{n} = \frac{1.96\sqrt{0.26(0.74)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.26(0.74)}}{0.03}\right)^2

n = 821.2

A sample of 822 is needed.

Item b:

No prior estimate, hence \pi = 0.5.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 1067.11

A sample of 1068 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
How can I find the area of this irregular shape?
Daniel [21]

Answer:

the idea is to devide the shape into 3 smaller parts.

Step-by-step explanation:

devide it to three areas :

> semi-circle (0.5 * pi * R), R=5

>Square (10 * 10)

> triangle (0.5 * base * height),

bsse =10, height =7

Add them together.

6 0
4 years ago
How do you simplify this
LenKa [72]

(7^8×7^3×7^4)/(7^9×7^5)=(7^(8+3+4))/(7^(9+5))=(7^15)/(7^14)=7^1=7

The answer is 7.

7 0
3 years ago
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