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3 years ago

Find the prime factorization of 55 exponent 5 times 65 time 49 exponent 13 what is the correct answer?

1 answer:

4 0

So 55^5 times 65 times 49^13
so this means
55 times itself 5 times times 65 times 49 times itself 13 times or
55 times 55 times 55 times 55 times 55 times 65 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49
so factor each
rule of exponents

55^5
55=11 times 5
55^5=5^5 times 11^5
65=5 times 13
49=7 times 7
49^13=7^26

total multiplication is 5^5 times 5 times 11 times 13 times 7^26
5^5 times 5=5^6
so prime factorization is
5^6 times 7^26 times 11 times 13

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Find the surface area of the composite solid.

Westkost [7]

We have:

4 triangles with the base b = 5ft and the height h = 6ft

4 rectangles with the lenght l = 5ft and the width w = 4ft

1 square with side a = 5ft.

The formula of an area of a riangle:

$A_T=\dfrac{1}{2}bh$

Substitute:

$A_T=\dfrac{1}{2}(5)(6)=\dfrac{1}{2}(30)=15\ ft^2$

The formula of an area of a rectangle:

$A_R=lw$

Substitute:

$A_R=(5)(4)=20\ ft^2$

The formula of an area of a square:

$A_S=a^2$

Substitute:

$A_S=5^2=25\ ft^2$

The Surface Area of composite solid:

$SA=4A_T+4A_R+A_S$

Substitute:

$SA=4(15)+4(20)+25=60+80+25=165\ ft^2$

<h3>Answer: The Surface Area of the composite solid is 165 ft².</h3>

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8_murik_8 [283]

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Vitek1552 [10]

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The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl

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Answer:

Step-by-step explanation:

Hello!

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I hope this helps!

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3 years ago