Answer:
half a sphere is called a hemisphere
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
Answer:
probability of spinning a 3 is 1/8 or 1/8=1/8+1/8=1/4
14. The answer is A; 8 is the opposite reciprocal of -1/8, which is what you need for perpendicular slope.
15. The answer is C; you can guess and check by plugging points into the equation.
