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dmitriy555 [2]
3 years ago
15

Which of the following expressions are equivalent to 48^3-75a? Select all that apply.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0
48a^3-75a=3a\cdot16a^2-3a\cdot25=\underbrace{3a(16a^2-25)}_{B.)}\\\\=3a\left[(4a)^2-5^2\right]=\underbrace{3a(4a-5)(4a+5)}_{D.)}=\underbrace{-3a(5-4a)(5+4a)}_{F.)}
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Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
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Answer:

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Step-by-step explanation:

Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.

Area of parallelogram is base \times height

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now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.

The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.

2 right angled triangles KPL and NOM by construction

KL^{2}=KP^{2}+PL^{2}=10^{2}+2^{2}                                          =100+4=104

⇒ KL=\sqrt104=10.2 ft=MN         (∵ KLMN is a parallelogram)

Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft

Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.



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4 years ago
Help need to divide the fraction ​
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Hello There!

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