Vsphere=(4/3)pi(r)³
remember that d/2=r, so 2r=d
given
V=2400
2400=(4/3)pi(r)³
times both sides by (3/4)
1800=pi(r)³
divide both sides by pi
1800/pi=r³
cube root both sides
<span>8.30566118415=r
times 2
</span><span>16.6113223683=r</span>
the aproximate diameter isi 16.6 cm
The coordinate of point N after the dilation is N' = (-8/3, 8/3)
<h3>Dilation of coordinates</h3>
Dilation is a transformation technique for changing the size of an object using a scale factor.
Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:
N' = (2/3(-4), 2/3(4))
N' = (-8/3, 8/3)
Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)
Learn more on scale factor here: brainly.com/question/10253650
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The correct answer is -b+12
Here's a way to do it.
Let 4e +2 = 5n +1 . . . . . . for some integer n
Then e = (5n -1)/4 = n + (n -1)/4
We want (n-1)/4 to be an integer, so let it be integer m.
... m = (n -1)/4
... 4m = n -1
... 4m +1 = n
Substituting this into our expression for e gives
... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1
e = 5m+1 for any integer m
