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3 years ago

The ratio of the volume of two cubes is 216 to 64. What is the ratio of their surface/

1 answer:

5 0

The volume of a cube is V=s^3, so s=V^(1/3).

The area of a cube is A=6s^2, using s found above we have:

A=6(V^(2/3))

Let V and S be the volume and area of the larger and v and s be the volume and area of the smaller cube.

A:a

6(V^(2/3)):6(v^(2/3))

V^(2/3):v^(2/3), we are given that V=216 and v=64 so

216^(2/3):64^(2/3)

36:16

9:4

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I need help with 1 and 3 please

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3 years ago

How do you solve 9| x+8 | + 10 < 55 & how is it graphed

mafiozo [28]

Hello!

First, let's write the problem.
$9\left|x+8\right|+10\ \textless \ 55|x+8|+10\ \textless \ 55$
Subtract 10 from both sides.
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$9\left|x+8\right|\ \textless \ 45$
Divide both sides by 9.
$\frac{9\left|x+8\right|}{9}\ \textless \ \frac{45}{9}$
$\left|x+8\right|\ \textless \ 5$
When we got absolute value, we are going to get two results.
$x+8\ \textless \ 5$
and
$x+8\ \textgreater \ -5$

Let's solve the first one,
$x+8\ \textless \ 5x+8\ \textless \ 5$
Subtract 8 from both sides.
$x+8-8\ \textless \ 5-8$
$x\ \textless \ -3x\ \textless \ -3$

Let's solve the second one.
$x+8\ \textgreater \ -5$
Subtract 8 from both sides.
$x+8-8\ \textgreater \ -5-8$
$x\ \textgreater \ -13x\ \textgreater \ -13$

Let's combine the ranges.
$-13\ \textless \ x\ \textless \ -3$

The attachment shows how would you graph it.
You can feel free to let me know if you have any questions regarding this.
Thanks!

- TetraFish

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3 years ago

2/5 of what is 2/3? i need so much help

AlladinOne [14]

The answer is 4/15

2/5 * 2/3 = 2 · 2/5 · 3 = 4/15

Multiply the numerators and denominators together. Keep the result fraction to the smallest possible denominator GCD(4, 15) = 1. It cannot further simplify the fraction result by canceling in the following intermediate step.

In other words, two fifths times two thirds equals four fifteenths.

Learn more about fraction here:

brainly.com/question/17220365

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