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Alja [10]
2 years ago
8

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

=> Largest Angle = 5 × 20°

=> Largest Angle = 100°

<h3>• Hence the largest Angle is 100° </h3>
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2 years ago
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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}

b=16\ units

substitute

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

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

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

8 0
3 years ago
A rotating sprinkler that sprays water at a radius of 7 feet is used to water a lawn. Determine the area of the lawn that is bei
Damm [24]

Answer:

49Pi

Step-by-step explanation:

Area of a circle is = to pi(r)^2

3 0
2 years ago
The slope of a line parallel to the graph of 4x-5y=12
Leya [2.2K]
Parallel lines have the same slope.

4x-5y=12 \\ -5y=-4x+12 \\ y= \frac{4}{5}x- \frac{12}{5}   \\  \\ slope:\frac{4}{5}
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3 years ago
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