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Natalka [10]
2 years ago
12

Write (1/6) to the 3rd power as a product of the same factor.then find the value

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
3 0
1/216 don’t forget to simplify
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The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion corr
ikadub [295]

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

<h3>How to get the volume of the smaller solid?</h3>

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

If you want to learn more about scale factors:

brainly.com/question/3457976

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6 0
2 years ago
Read 2 more answers
How do you write the algebraic notation when the scale factor is 1/2?
PIT_PIT [208]

Answer:

(x,y) = (.5x,5y)

Step-by-step explanation:

7 0
3 years ago
A theater has 49 seats in the first row 52 seats in the second row 55 seats in the third row how many seats are in the 16th row
devlian [24]

Answer:

94 seats

Step-by-step explanation:

We solve using Arithmetic sequence formula

an = a + (n + 1)d

Where

a = First term = 49

d = Common difference = 52 - 49 or 55 - 52 = 3

n = 16th row

Hence,

a16 = 49 + (16 - 1)3

a16 = 49 + (15 × 3)

a16 = 49 + 45

a16 = 94

Therefore, the number of seats on the 16th row is 94 seats

3 0
3 years ago
Laloni is participating in her school's
Vlad1618 [11]

Answer:

Step-by-step explanation:

In order to find an average you need to add all the numbers you have and then divide your sum by the amount of numbers you added.

195+52+206=432

432 divided by 3= 151

That is the answer, 151.

4 0
2 years ago
what transformation occurs(vertically stretched, vertically compressed, reflection, translation, rotation, etc) happens when a f
Vlad1618 [11]

Answer:

happen when a function is turned

Step-by-step explanation:


5 0
2 years ago
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