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Stella [2.4K]
3 years ago
10

The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?​

Mathematics
1 answer:
Lorico [155]3 years ago
3 0

Answer:

\boxed{6912 units^2}

Step-by-step explanation:

<em>Hey there!</em>

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

\frac{3}{4} = \frac{5184}{x}

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

<em>Hope this helps :)</em>

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Answer:

8^6

Step-by-step explanation:

Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.

e.g:

2^2\cdot2^2=2^{2+2}=2^4\\(2^2)^3=2^{2\cdot3}=2^6

Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:

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We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:

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2 years ago
The number of compact discs N purchased each year, in millions, can be
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Answer:

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Step-by-step explanation:

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(1.13)^t = 2,000,000,000/384

log [(1.13)^t) = log (2,000,000,000/384)

t × log 1.13 = log (2,000,000,000/384)

t = [log (2,000,000,000/384)]/(log 1.13)

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qwelly [4]

Let no be x

Acc to ques

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