Answer:
1 1/4
Step-by-step explanation:
To find the distance between the points take the last point and subtract the first point
7/8 - (-3/8)
A negative negative is a positive
7/8 +3/8
10/8
8/8 + 2/8
Simplifying
1 + 1/4
1 1/4
38F, 32F, 23F, -6F, -10F, -11F, -17F
Answer:
Step-by-step explanation:
I'm sure he was making a joke at the expense of people who rely on mathematics rather than common sense. It is funny, but then Twain was a remarkably funny author..
The problem is that the comparison is apt using some sort of proportion, but it is absurd to think that the land holding the river would also shrink a proportional amount.
The river reached a minimum (presumably) in 1875 by cutting out all the loops that were there in 1700. The Mississippi was then a straight line from it's beginning to its delta on the gulf of Mexico. It could not get any shorter. Still, Twain managed to get laughs with his whimsical humor.
Thanks for posting. This made my evening.
Answer:
The volume of the toy is ![V=5.23\ ft^3](https://tex.z-dn.net/?f=V%3D5.23%5C%20ft%5E3)
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
![V=\frac{2}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
![D=2\ ft](https://tex.z-dn.net/?f=D%3D2%5C%20ft)
----> the radius is half the diameter
substitute
![V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%281%29%5E%7B3%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%5C%20ft%5E3)
step 2
Find the volume of the cone
The volume of the cone is given by
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we know that
The radius of the cone is the same that the radius of the hemisphere
so
![r=1\ ft](https://tex.z-dn.net/?f=r%3D1%5C%20ft)
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
![h=4-1=3\ ft](https://tex.z-dn.net/?f=h%3D4-1%3D3%5C%20ft)
substitute the given values
![V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%281%29%5E%7B2%7D%283%29%3D%5Cpi%5C%20ft%5E3)
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
![V=(\frac{2}{3} \pi+\pi)\ ft^3](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%2B%5Cpi%29%5C%20ft%5E3)
![V=(\frac{5}{3}\pi)\ ft^3](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B5%7D%7B3%7D%5Cpi%29%5C%20ft%5E3)
assume
![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
![V=\frac{5}{3}(3.14)=5.23\ ft^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B5%7D%7B3%7D%283.14%29%3D5.23%5C%20ft%5E3)
Correlation because it is not saying that evenings cause him to run slower