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2 years ago

A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.

1 answer:

4 0

The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³

<h3>Volume of a sphere</h3>

The globe is a sphere. Therefore, the volume is as follows:

volume = 4 / 3 πr³

where

r = 12 /2 = 6 inches

volume = 4 / 3 × π × 6³

volume = 864 / 3 π

volume = 288 × 3.14 = 904.32inches³

<h3>Volume of a cube</h3>

The box is a cube. Therefore,

volume = L³

where

L = length

Therefore,

volume = 12³

volume = 1728 inches³

Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:

volume not taken up = 1728 - 904.32 = 823.68 inches³

learn more on volume here: brainly.com/question/15385003

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True or false? Rates can be adjusted for different time periods. If you know how many parts can be made in an hour, then you can

julsineya [31]

Answer:

True

Step-by-step explanation:

The whole point of units conversion is to take a value expressed in one set of units (parts per hour) and translate it to a different set of units (parts per week). The rate does not have to involve time.

The statement is TRUE.

3 0

3 years ago

Find each percent of change. Round yo the nearest whole percent if necessary. <br><br> 55 to 35

Reptile [31]

So subtract 55 from 35

35 - 55 = -20

then, put -20 over 55

-20/55 equals -0.36 repeating, rounded to -0.36, which equals 36%

the negative stands for decrease, so it's around 36% decrease

8 0

3 years ago

5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is off

kari74 [83]

Answer:

12742.84$

Step-by-step explanation:

11798 (the price) + 11796 x 0.08 (8% interest)=12742.84

6 0

2 years ago

How many solutions exist for the given equation? 3x 13 = 3(x 6) 1 zero one two infinitely many

romanna [79]

An equation is formed of two equal expressions. There is no solution set of the equation 3x+13 = 3(x+6)+1.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be solved in the following manner,

$3x+13 = 3(x+6)+1\\3x+13=3x+18+1\\3x+13=3x+19$

Since both the sides of the equation are the same in terms of variable and the constant terms are not the same. Therefore, there is no solution set of the equation 3x+13 = 3(x+6)+1.

Learn more about Equation:

brainly.com/question/2263981

8 0

1 year ago

1. Divide 6x^4 + 2x^3 – 6x^2 – 14x – 1 by 3x + 1 by using synthetic division or long division. Show all

iris [78.8K]

      2x^3 - 2x - 4

3x + 1 6x^4 + 2x^3 - 6x^2 - 14x - 1
      6x^4 + 2x^3

       -6x^2 - 14x - 1
   -6x^2 - 2x

   -12x - 1
   -12x - 4

   3

3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.

5 0

3 years ago