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andrew-mc [135]
3 years ago
13

A 20° sector in a circle has an area of 21.5π yd². What is the area of the circle? Use 3.14 for pi. Enter your answer as a decim

al in the box.
Mathematics
2 answers:
Kitty [74]3 years ago
8 0

Answer:

The correct answer is 1215.18, I just took the quiz.

Arte-miy333 [17]3 years ago
7 0

Answer:

The area of circle is 1215.18 yd²

Step-by-step explanation:

A 20° sector in a circle has an area of 21.5π yd²

Formula:

\text{Area of sector }=\dfrac{\theta}{360^\circ}\times \pi r^2

Where,

Area of sector = 21.5π yd²

Angle of sector = 20°

21.5\pi = \dfrac{20^\circ}{360^\circ}\times \pi r^2

r^2=18\times 21.5

r=19.67\text{ yd}

Now we will find the area of circle.

\text{Area of circle }=\pi r^2

\text{Area of circle }=\pi \cdot 18\times 21.5=1215.18\text{ yd}^2

Hence, The area of circle is 1215.18 yd²

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Nonamiya [84]

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

5 0
3 years ago
Stealth Bank has deposits of $700 million. It holds reserves of $70 million and has purchased government bonds worth $215 millio
zhannawk [14.2K]

Answer:

$75 million

Step-by-step explanation:

Given that:

Reserve value = $70 million

Purchased government bond = 215 million

Market value of loan = $490 million

Net worth :

Assets - liability

Assets = (Market value of loan + purchased government bond + reserve value)

(490 million + 215 million + 70 million)

275 million + 70 million

= $775 million

Liability = Deposits = $700 million

Net worth = ($775 - $700) million

Net worth = $75 million

4 0
3 years ago
A baby weighs 7 pounds at birth. the table shows the baby's weigh after each month of its birth, up to the sixth month
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What’s the question?
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3 years ago
Find two integers whose sum is 3 and product is -108.
AleksandrR [38]

Answer:

12 and -9

Step-by-step explanation:

12 x -9 = -108

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7 0
3 years ago
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, h
lidiya [134]

Answer:

48 minutes

Step-by-step explanation:

Given that:

Time taken by Janet = 3 hours

Janet's rate = 1/3 job / hour

Time taken by Garry = 2 hours

Garry's rate = 1/2

Rate of working together :

1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour

If Janet works for one hour before Garry joins ;

1/3 of the job has been done by Janet

1 - 1/3 = 2/3 of the job left

Hence to finish the job together, it will take :

Fraction of JOB left ÷ rate of working together

(2/3 ÷ 5/6)

= 2 /3 * 6/5

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= 4 / 5 hours

To minutes

(4/5) * 60

= 240/5

= 48 minutes

8 0
3 years ago
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