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2 years ago

Which of the following is the correct factorization of the polynomial below x3 - 12

Mathematics

1 answer:

padilas [110]2 years ago

8 0

Answer:this is all I could find

Step-by-step explanation:

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Part I: Measuring Parts of a Circle

cluponka [151]

Answer:

case a) The approximate circumference of circle is $5.9\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=2.95$

case b) The approximate circumference of circle is $6\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3$

case c) The approximate circumference of circle is $6.24\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3.12$

Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

$P=5s$

where

$s=1.18\ units$

substitute

$P=5(1.18)=5.9\ units$

therefore

The approximate circumference of circle is $5.9\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=5.9/2=2.95$

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

$P=6s$

where

$s=1\ units$

substitute

$P=6(1)=6\ units$

therefore

The approximate circumference of circle is $6\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6/2=3$

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

$P=12s$

where

$s=0.52\ units$

substitute

$P=12(0.52)=6.24\ units$

therefore

The approximate circumference of circle is $6.24\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6.24/2=3.12$

<em>Conclusion</em>

We know that

The exact value of the ratio $\frac{C}{D}$ is equal to

$\frac{\pi D}{D}=\pi$

The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

4 0

3 years ago

Use the limit definition of derivative to determine whether the function f(z)=(\operatorname{Re} z)^{2}f(z)=(Rez) 2 is complex-d

beks73 [17]

Hmmm 818291937739191 is the answer

4 0

2 years ago

Rewrite the division as a multiplication 2c + 73<br> 9

kvv77 [185]

Isn't that addition?

5 0

2 years ago

Identify all of the following solutions of square root x+14+2=x

True [87]

First add 14+2 so you have sqrt(x) +14=x. Next subtract the 14 to the other side and square both sides, so you have x=x^2+28x+196. Now subtract the x, then use quadratic formula to get the two solutions for the way you have the question typed. However, since I recognize this as being a test question from your FLVS course that is not typed correctly with the parenthesis that will give you the wrong answer. A better idea would be to review through the examples in the lesson, try a few practice problems, then you can easily solve by isolating the square root on one side by itself, then squaring both sides.

8 0

3 years ago

Help please answer fast!

Hatshy [7]

Answer:

A (3/3) and B (1)

B.) (11/15)

Step-by-step explanation:

Addition

3 0

2 years ago