Answer:3 lines could be used
Step-by-step explanation:
You need 2 points to draw a line. The order doesn't really matter. Line AB is the same as line BA. The problem is to select 2 points out of 3 to draw different lines. If we do the same to the others, we get the following pairs of points to draw lines.
AB , AC
BA , BC
CA , CB
which is only 3 lines
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➷ final = original x multiplier
final = 10,000 x 1.065
final = 10650
It is $10650
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It's 900
Please hit that 5 stars and hit that crown
Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by:
, where r is the radius.
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. Plug in 2r for h and 18 for V:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
![18=\pi r^2*2r=2\pi r^3](https://tex.z-dn.net/?f=18%3D%5Cpi%20r%5E2%2A2r%3D2%5Cpi%20r%5E3)
![\pi r^3=18/2=9](https://tex.z-dn.net/?f=%5Cpi%20r%5E3%3D18%2F2%3D9)
Now plug in 9 for πr³ in the volume formula for the sphere:
![V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
![V=\frac{4}{3} *9=12](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%2A9%3D12)
The volume of the sphere is 12 cm³.