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1 year ago

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The volume of Cube A is 8 cubic inches. The face of Cube B has an area of 64 square inches. Which cube has a greater side lengt

h?

1 answer:

defon1 year ago

8 0

The cube which has a greater side length according to the task content is; Cube B.

<h3>Which cube has a greater side length?</h3>

It follows from the task content that since cube A has a volume of 8 in³, it follows that its side length is;

s(A) = ³√8 = 2in.

Also, since one face of cube B has an area of 64 in², it follows that the side length is;

s = ²√64

s(B) = 8 in.

Hence, Cube B has the greater side length.

Read more on volume of a cube;

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Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)

maw [93]

You can simply expand each product and see whether it gives you a difference of squares.

•   $\mathsf{(-7x+4)\cdot (-7x+4)}$

That's actually $\mathsf{(-7x+4)^2:}$

$\mathsf{(-7x+4)^2}\\\\ \mathsf{=(-7x+4)\cdot (-7x+4)}\\\\ \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-28x+16}$

$\mathsf{=49x^2-56x+16}$   <span>✖

which is not a difference of squares.

</span>————<span>—

</span>•   $\mathsf{(-7x+4)\cdot (4-7x)}$

$\mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\\\\ \mathsf{=-28x+16-(-49x^2+28x)}\\\\ \mathsf{=-28x+16+49x^2-28x}$

$\mathsf{=49x^2-56x+16}$ ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (-7x-4)}$

$\mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-(-28x+16)}\\\\ \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\\\\ \mathsf{=49x^2-16}$

$\mathsf{=(7x)^2-4^2}$   <span>✔

That is a difference of two squares.

</span>————<span>—

</span>•   $\mathsf{(-7x+4)\cdot (7x-4)}$

$\mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\\\\ \mathsf{=-49x^2+28x-(-28x+16)}\\\\ \mathsf{=-49x^2+28x+28x-16}$

$\mathsf{=-49x^2+56x-16}$   <span>✖

</span>which is not a difference of squares.

—————

Only the third option will result in a difference of squares.

Answer: (− 7x + 4) · (− 7x − 4).

I hope this helps. =)

8 0

3 years ago

Read 2 more answers

A pizza slice is cut into 8 equal slices.

Free_Kalibri [48]

Answer:

a. 1/8

b. 1/4

c. She ate 2 out of the 8 pieces if you divide both by 2 you get 1 and 4 to make it the fraction 1/4

Step-by-step explanation:

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3 years ago

If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units

nikdorinn [45]

Answer:

radius = 2.05 units

Step-by-step explanation:

The volume of a sphere is given by the formula: $V=\frac{4}{3} \pi r^3$ . In this formula:

V = volume of the sphere
r = radius of the sphere

Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.

Substitute 36 for V into the formula and solve for r.

$36=\frac{4}{3} \pi r^3$

Divide both sides by $\frac{4}{3}$ . To do this, multiply 36 by the reciprocal of $\frac{4}{3}$ .

$36\times \frac{3}{4}$
$36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27$

Simplify and rewrite the equation.

$27=\pi r^3$

Now divide both sides of the equation by pi ( $\pi$ ).

$27\div\pi=8.59436692696$

Rewrite the equation.

$8.59436692696=r^3$

To isolate and solve for r, cube root both sides of the equation.

$r=\sqrt[3]{8.59436692696}$
$r=2.04835218977$

The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:

whole number: 2 units
tenth: 2.0 units
hundredth: 2.05 units
thousandth: 2.048 units

I'll just give the answer rounded to the nearest hundredth as that seems the most popular.

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2 years ago

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A is directly proportional to x and inversely proportional to y. If A=20 when x=6 and y=9, what is the value of A when x=9 and y

cupoosta [38]

A=45

A=kx/y

where k is constant

substituting the values for k

k= 20×9/6=30

when x=9, y=6

A= 30×9/6=45

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3 years ago

A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to plac

Julli [10]

The mean is the unit of center that may be used to predict how many strokes will be needed to complete the ninth hole.

The data is almost symmetrical, making the mean the best option.

What is symmetrical data?

Asymmetric communications refers to any system where, when averaged over time, the data speed or amount is different in one direction from the other.
Asymmetry is defined as the lack of precise similarity between two pieces.
A fiddler crab's body is asymmetrical, as evidenced by the fact that one of its claws is larger than the other.
Absence of a standard unit of measurement between two things or amounts; incomprehensibility.

So the more about symmetrical visit.

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2 years ago