Answer: 28
Step-by-step explanation:
2 × 8 = 16
8 + 4 = 12
12 ÷ 2 = 6
6 × 2 = 12
16 + 12 = 28
(x+4)^2 / 9 - (y+3)^2 / 16 = 1
a^2 = 16 and b^2 = 9
a = +4 and -4
b = +3 and -3
Center is (-4, -3)
Vertices is (-4 + a, -3) and (-4 - a, -3)
Vertices is (-1, -3) and (-7, -3)
Okay so you have the question What is 1.06 as a mixed number in simplest form?
So, let us begin okay so 1.06 = 106/100 which then we will simplify to 53/50 and then you can simplify it one more time all the way down to it's simplest form of 1 3/50
Hope i helped
Cheers,
Belive1234
Answer:
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Step-by-step explanation:
angles are equal because two pairs are of alternate angles and one of vertically opposite angles
<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>