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2 years ago

Find the gcf of the terms of the polynomial. 44x^5 16x^3

Mathematics

1 answer:

julia-pushkina [17]2 years ago

7 0

$44x^5=4x^3\cdot11x^2\\\\16x^3=4x^3\cdot4\\\\\boxed{GCF(44x^5;\ 16x^3)=4x^3}\to\fbox{c.}$

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What is 14.1421356237 rounded to 0.05?

lesya [120]

i believe the answer is 14.14

4 0

3 years ago

A point is randomly chosen in the circle shown below.

quester [9]

Answer:

in a region with a letter

Step-by-step explanation:

For a certainty, then probability is 1.

That means sum of probability of all events in the sample space.

This means P(A)+P(B)+P(C)+P(D)=1

This is equivalent to:

P(A or B or C or D)=1

Hence for certainty, the region must be:

A or B or C or D

So the correct answer is in a region with a letter.

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3 years ago

The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.

valentina_108 [34]

Answer:

h = 9x

Step-by-step explanation:

Given: i. for the cylinder, base radius = 2x cm, height = h cm

ii. for the sphere, radius = 3x cm

iii. volume of the cylinder = volume of the sphere

volume of a cylinder is given as;

volume = $\frac{1}{3}$ $\pi$ $r^{2}$ h

where: r is its base radius and h the height

volume of the given cylinder = $\frac{1}{3}$ $\pi$ x $(2x)^{2}$ x h

= $\frac{1}{3}$ $\pi$ x 4 $x^{2}$ x h

= $\frac{4}{3}$ $\pi$ $x^{2}$ h

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

where r is the radius.

volume of the given sphere = $\frac{4}{3}$ $\pi$ x $(3x)^{3}$

= $\frac{4}{3}$ $\pi$ x 9 $x^{3}$

= 12 $\pi$ $x^{3}$

Since,

volume of the cylinder = volume of the sphere

Then we have;

$\frac{4}{3}$ $\pi$ $x^{2}$ h = 12 $\pi$ $x^{3}$

4 $\pi$ $x^{2}$ h = 36 $\pi$ $x^{3}$

subtract $x^{2}$ from both sides

4 $\pi$ h = 36 $\pi$ x

divide both sides by 4 $\pi$

h = $\frac{36\pi x}{4\pi }$

= 9x

h = 9x

5 0

2 years ago

Rewrite the expression -8(2+9v) using the distributive property

Ann [662]

Answer:

-16-72v

Step-by-step explanation:

-8*2 = -16

-8*9v = -72v

so, -16 + (-72v) -> -16-72v

7 0

3 years ago

Read 2 more answers

Mr North spent $144,00 to build a fence around the perimeter of bis vegetable garden.He paid $6.oo per yard for fencing.

NikAS [45]

First, you could see the amount of fence he could buy, or 144/6, which would be 24, so Mr. North can buy 24 yards of fencing.
So now to find the possible plans, we know that there are four sides, but the width and the length occur twice since it's a rectangle.
So since we know that, we can just split 24 in half to find the possibilities for one of the width sides and one of the length sides, if that makes any sense. 24/2 = 12.
So now, you could say some possibilities are length = 6 and width = 6, or length = 4 and width = 8.
And now, to consider which plan would be the best, it would probably be a 6x6 design, because it gives the biggest area to the vegetable garden, and is easy to move around.
width = 6
length = 6
area = 36 square yards (6×6)
perimeter = 24 yards (6+6+6+6)

5 0

3 years ago