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2 years ago

Factor 16x^3 + 8x^2 + x

Mathematics

2 answers:

kakasveta [241]2 years ago

3 0

Answer: x(4x+1)^2

Explanation:
Factor 16x^3+8x^2
x(16x^2+8x+1)
Factor again
x(4x+1)^2

ahrayia [7]2 years ago

3 0

Factor

16x^3+8x^2+x this equals x(4x+1)(4x+1)

So that means your answer is

X(4x+1)(4x+1)

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The three angles of a triangle create the extended ratio 2:2:5. What is the measure of the largest angle?

Dima020 [189]

Answer:

100°

Step-by-step explanation:

The ratio of angles of the triangle is 2:2:5. We know that the angle sum property of the triangle is 180°. So that , let the ratio be 2x : 2x : 5x .

=> 2x + 2x + 5x = 180°

=> 9x = 180°

=> x = 180°/9

=> x = 20°

Here the largest ratio is 5x . Therefore the largest Angle is ,

=> Largest Angle = 5x

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3 years ago

A regular square pyramid has base edges of length 16 and its lateral faces are inclined 30° to the base of the pyramid. What is

Helga [31]

Answer:

1) $h=\frac{8\sqrt{3}}{3}\ units$

2) $V=\frac{2,048\sqrt{3}}{9}\ units^3$

Step-by-step explanation:

Part 1) Find the height of the pyramid

we know that

$tan(30^o)=\frac{h}{(b/2)}$

where

h is the height of the pyramid

b is the length side of the square base

we have

$tan(30^o)=\frac{\sqrt{3}}{3}$

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substitute

$\frac{\sqrt{3}}{3}=\frac{h}{(16/2)}$

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$h=\frac{8\sqrt{3}}{3}\ units$

Part 2) Find the volume of the pyramid

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3} Bh$

where

B is the area of the square base

h is the height of the pyramid

we have

$B=(16^2)=256\ units^2$

$h=\frac{8\sqrt{3}}{3}\ units$

substitute

$V=\frac{1}{3} (256)(\frac{8\sqrt{3}}{3})$

$V=\frac{2,048\sqrt{3}}{9}\ units^3$

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Step-by-step explanation:

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Leya [2.2K]

Parallel lines have the same slope.

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