-Combine like terms and simplify the expressinon 2x+4y+3x+8
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Hello there!
1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.
Now that you have this information, you can now find the surface area by using this formula:
A= 2lw+2lh+2hw
Now plug in your values:
A=2(5)(2.5)+2(5)(5)+2(5)(2.5)
This would simplify to:
A=25+50+25
A=100 in squared
Therefore, the surface area of the two pieces are 100 inches squared.
2.) To start, first plug the measurements of the tank into the cylinder volume formula:
V=r^2h
V=(2.75)^2(10)
V= 237.58 cubic feet
Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:
237.58/3.7= 64.2108...
Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.
:)
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Using the volume formula, we will see that the volume of the sphere is V = 381.51 cm^3
<h3>How to get the volume of the sphere?</h3>
For a sphere of radius R, the volume is given by the formula:
In this case, we can see that the diameter is 9 cm, then the radius is half of that:
R = 9cm/2 = 4.5cm
Now that we know the radius, we can replace it on the volume formula to get:
If you want to learn more about spheres, you can read: