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aleksklad [387]
3 years ago
15

Amelia is getting a new rug put in her room that she picked out at Home Depot. Her room is 8.5 feet wide and 12.3 feet long. If

the rug she picked out at Home Depot costs $3.40 a square foot including installation, how much should Home Depot charge Amelia
Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Answer:

$355.47 cents.

Step-by-step explanation

since you want to find the square footage of the entire room, hence Home Depot costs $3.40 per square foot, you would clearly need to find the area.  Basically find what 8.5 * 12.3 is and then multiply that number by 3.40. Once that is done, put a dollar sign on the answer and BOOM, you got it. :)

so $355.47 cents.

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Cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inche
ss7ja [257]

Answer:

V_{cylinder}=251.2\ in^3,

V_{cone}=251.2\ in^3,

V_{cylinder}=V_{cone}.

Step-by-step explanation:

The volume of the cylinder is

V_{cylinder}=\pi r^2 h,

where r is the radius of a base circle and h is the cylinder's height.

If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is

V_{cylinder}=3.14\cdot 4^2\cdot 5=251.2\ in^3.

The volume of the cone is

V_{cone}=\dfrac{1}{3}\pi r^2 h,

where r is the radius of a base circle and h is the cone's height.

If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is

V_{cylinder}=\dfrac{1}{3}\cdot 3.14\cdot 4^2\cdot 15=251.2\ in^3.

As you can see the cylinder and the cone have the same volume.

4 0
3 years ago
Write two different expressions that<br> represent the quantity x decreased<br> by 30%.
s344n2d4d5 [400]

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

    4x = 44

      x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

4 0
2 years ago
Compute the norm of v when v = (-8,7,4)​
dexar [7]

Answer:

the norm of V = =11.357816691601..

Step-by-step explanation:

\left\vert \overrightarrow{V} \right\vert  =\sqrt{\left( -8\right)^{2}  +\left( 7\right)^{2}  +\left( 4\right)^{2}  }

      =\sqrt{64+49+16}

      =\sqrt{129}

      =11.357816691601...

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1 year ago
Value for -3 + 4x &gt; 4
lilavasa [31]

Answer:

x > 1/4

Step-by-step explanation:

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