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Lana71 [14]
2 years ago
12

Multiply: (4n + 4)(5n - 8)

Mathematics
2 answers:
marissa [1.9K]2 years ago
7 0

Answer:

5n^2 - 3n - 8

Step-by-step explanation:

4n.5n - 4n.8 + 4.5n - 4.8

= 20n^2 - 32n + 20n - 32

= 20n^2 - 12n - 32

= 4 ( 5n^2 - 3n - 8 )

= 5n^2 - 3n - 8 [ answer ]

andrezito [222]2 years ago
6 0
20n^2 - 12n - 32 is correct
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Step-by-step explanation:

(2-) +3+ (-4)

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The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
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Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

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d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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