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Ber [7]
3 years ago
5

A low-wattage radio station can be heard only within a certain distance from the station. On the graph above, the circular regio

n represents that part of the city where the station can be heard, and the center of the circle represents the location of the station. Which equation represents the boundry for the region where the station can be heard?
Mathematics
1 answer:
makkiz [27]3 years ago
6 0
I would be happy to help, is there anything else like the options or the graphs you could add?
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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

8 0
3 years ago
Read 2 more answers
training for a cycle race in the first week if I was 195 miles in the second we can manage is 243 Miles what is the percentage i
Ivahew [28]

Answer:

24.61%

Step-by-step explanation:

The distance covered in first week = 195 miles

The distance covered in the second week = 243 miles

We need to find the percentage increase in distance​. It can be calculated as follows :

\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%

So, the increase in distance is equal to 24.61%.

4 0
3 years ago
Martina spends $15 each time she travels the toll roads. She started the month with $225 in her toll road account. The amount, A
PolarNik [594]

Answer:

$70 is what he would have left. Since each trip is $14 you would multiply that by the amount of times he went which was 11. 14x11 is $154. But you need what he has left so you take his total amount $224-$154 and get $70.

Part b.) 16 times. He has $224 total. You want to find out how many times he can go on the tool roads. We know the toll roads cost $14 each time. So you do $224/14 and get an even amount of 16. He would be able to use it 16 times before he have no money left.

Step-by-step explanation:

6 0
2 years ago
A fair coin is flipped four times. Use a tree diagram to find the probability of observing exactly two heads.
Svetllana [295]

Answer:

0.25

Step-by-step explanation:

6 0
3 years ago
What is k in this question<br> k/1.5 = 3
Reptile [31]

Answer:k equals 4.5

Step-by-step explanation: you multiply 1.5 times three

3 0
3 years ago
Read 2 more answers
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