Answer:
160
Step-by-step explanation:
The equation of a sphere is:
(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2
where h, k and l are the coordinates of the center of the
sphere
Using the midpoint formula, the coordinate of the center
is:
h = (-4 + 6) / 2 = 1
k = (7 + -5) / 2 = 1
l = (6 + 7) / 2 = 6.5
so the equation becomes:
(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2
we plug in any point, in this case point P to solve for r:
(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2
r^2 = 61.25
So the full equation is:
<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>
Let, that number = x
It would be: x * 0.65 = 52
x = 52 / 0.65
x = 80
So, that number and your answer is 80
18 is 45% of 40
45%/100 = 0.45
0.45*40=18
-11.8 + 33.4y
First turn y into 1
-11.8 + 33.4 (1)
Multiply 1 by 33.4
-11.8 + 33.4
Then add
21.6
Hope this helps!!
