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marusya05 [52]
3 years ago
15

If the side lengths of a cube are dilated from 10 yards to 31 yards, find the scale factor that relates the area of one face of

the original cube to a face of the scaled cube. Write answer as number only, Round your answer to two decimal places if needed.
Mathematics
1 answer:
dmitriy555 [2]3 years ago
8 0

Answer:

  9.61

Step-by-step explanation:

The area of a face of the original cube is the square of its side length:

  (10 yd)² = 100 yd²

The area of a face of the dilated cube is the square of its side length:

  (31 yd)² = 961 yd²

Then the scale factor relating the area of the dilated cube to that of the original is ...

  scale factor = (961 yd²)/(100 yd²)

  scale factor = 9.61

__

Perhaps you can see that this scale factor is (31/10)², the square of the dilation factor.

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4.065323 × 10^13
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8 0
3 years ago
Veronica has been saving dimes and quarters. She has 94 coins in all and the total value is $19.30. How many dimes and how many
Stolb23 [73]

Answer:

Step-by-step explanation:

d + q = 94.....d = 94 - q

0.10d + 0.25q = 19.30

0.10(94 - q) + 0.25q = 19.30

9.4 - 0.10q + 0.25q = 19.30

-0.10q + 0.25q = 19.30 - 9.40

0.15q = 9.90

q = 9.90/0.15

q = 66 <===== there are 66 quarters

d + q = 94

d + 66 = 94

d = 94 - 66

d = 28 <==== there are 28 dimes

3 0
3 years ago
Susan can pick 4 pounds of coffee beans in an hour or gather 2 pounds of nuts. Tom can pick 2 pounds of coffee beans in an hour
natima [27]

Answer:

144

Step-by-step explanation:

Susan can pick 4 pounds of coffee beans in an hour.  Tom can pick 2 pounds of coffee beans in an hour.  Together, they can pick 6 pounds of coffee an hour.

4 + 2 = 6

There are 24 hours in a day.  Multiply the time by the amount that can be picked to find the answer.

24 × 6 = 144

Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.

5 0
3 years ago
Se desea constrir una barda utilizando block . las dimensiones de la barda son 25 m de largo y 2 m de altura . si se requieren 1
Andrew [12]

Answer:

I don't understand the language

Step-by-step explanation:

am not form Paris

3 0
3 years ago
Please tell me the answers for these! (6th Grade - Distributive Property)
Hatshy [7]

Answer:

1. 23

2. 8

3. 64

4. 26

5. 192

6. 600

6 0
3 years ago
Read 2 more answers
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