V=πr²h
V=(3)(2²)(8)
V=96
V=(πr²h)/3
V=(3)(2²)(3)/3
V=12
V=96+12
V=108
Answer:
They are all true
Step-by-step explanation:
1. 3² +4² = 5²
3x3 + 4x4 = 5x5
9 + 16 = 25
25 = 25
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2. 6² + 8² = 10²
36 + 64 = 100
100 = 100
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3. 9² + 12² = 15²
81 + 144 = 225
225 = 225
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4. 5² +12² =13²
25 + 144 = 169
169 =169
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Answer:
John has $21.
Step-by-step explanation:
Let John's "wealth" be w. Then 2w+8 = 50, or 2w = 42, or w = 21.
John has $21. Eight more than twice this is 42+8 = 50, as expected.
Answer: 24 cups.
Step-by-step explanation:
Let be "x" the amount of cups of peaches that Fred will need to make 60 cups of fruit salad.
According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:
![2:3](https://tex.z-dn.net/?f=2%3A3)
Which can also be written as a fraction:
![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.
Knowing the above, you can set up the following proportion:
![\frac{2}{5}=\frac{x}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B60%7D)
Now you must solve for "x" in order to find its value. This is:
![(60)(\frac{2}{5})=x\\\\x=24](https://tex.z-dn.net/?f=%2860%29%28%5Cfrac%7B2%7D%7B5%7D%29%3Dx%5C%5C%5C%5Cx%3D24)
I think the correct answer from the choices listed above is option A. A limitation of the kinetic-molecular theory for a gas is the <span>theory assumes that particles do not experience intermolecular forces.This cannot be completely true since interactions between particles is normal.</span>