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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Answer:
Step-by-step eWrite 2.9 as
2.9
1
Multiply both numerator and denominator by 10 for every number after the decimal point
2.9 × 10
1 × 10
=
29
10
Reducing the fraction gives
29
10xplanation:
You have to multiply 750*100 and then divide 75,000 with 15, which gives you 5,000
Answer
Good question!
A. false. Even though 5 is usually greater than 2, in this case it is less because it is negative and positives are always greater than negatives.
B. true. Just like the last question, positives are always greater than negatives and even though 8 is usually greater than 3, in this case the 3 is a negative so it is less.
C. true. Think about which number is closer to the number line. When we are talking about negative numbers, the number closer to the number line is greater.
D. false. Same concept as the last question where -12 is closer to the number line than -12.5 so -12 is actually greater.
If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)
Answer:
y = -1/3x - 1
Step-by-step explanation:
Let's solve for y.
Step 1: Add -x to both sides.
x+3y+−x=−3+−x
3y=−x−3
Step 2: Divide both sides by 3.
y=-1/3x-1
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