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pashok25 [27]
3 years ago
14

Terry is filling spherical water balloons with a faucet that puts out 100 cm^3 of water per second. At least rate, it takes Terr

y 6 seconds to fill a balloon. What is the radius of a filled balloon?
Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

its 5 cm

Step-by-step explanation:

its what I got off of Khan

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Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de
attashe74 [19]

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: \frac{x}{12\pi } = \frac{130}{360}

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) \frac{arclength}{2\pi.r } = \frac{mAB}{360}, where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = \frac{mAB.2.\pi.r }{360}

arc length = \frac{90.2.3.14.6}{360}

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An <u>arc</u> <u>length</u> is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

\frac{x}{2.6.\pi } = \frac{130}{360}

\frac{x}{12\pi } = \frac{130}{360}

c) Resolving (b):

x = \frac{130.12.3.14}{360}

x = 13.6

The arc length for the image is 13.6 inches.

6 0
3 years ago
What the answer to this it pre algebra Order operation
olga55 [171]

PEMDAS

parenthesis

exponents

multiplication

division

addition

subtraction

9-7-6/6

first 6/6=1

9-7-1

9-7=2

2-1=1

answer is 1

5 0
3 years ago
What number is not part of the domain of f(x)= 3/ x+5<br> (3 over x + 5)
nignag [31]
-5, you never want the denominator to equal zero or else it doesnt exist!

x+5=0
x=-5
7 0
3 years ago
Use the diagram to find the measurement of the given angle
Over [174]

Answer:

40

Step-by-step explanation:

FAC = FAE + EAD +CAD

We know FAC = 180 and CAD = 50 and EAD = 90

180 = FAE + 90 +50

Combine like terms

180 = FAE + 140

Subtract 140 from each side

180-140 = FAE +140-140

40 = FAE

6 0
3 years ago
Read 2 more answers
A window shaped like a circle has a diameter of 15 centimeters what is the circumference of the window? Use 3.14 for pie
vova2212 [387]

C=2pir, so take half of 15 which is 7.5 and plug it in as r and you get 47.12. Or just look up circumference calculator on google.

5 0
3 years ago
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