Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
ラタさたらアサアタラアヤタアラいらタサタラ田原田畑ら浅田はやちらたさたら畑らは新たさたらあらあら野菜やるハアラある派を田畑さあらたさたら田畑さたはあさはあラカさたら昌太や沙耶羽田にあやさまらま火たださはあたらださいなたら田畑佐原タラ浅井さん羽田あはあさた
Answer:
The answer is 104
Step-by-step explanation:
I’m guessing the shape is a triangle so if you have to angels you add them up and minus then from 180 what you get is your missing angle.
Because if you did not you would not have a exact answer.
Answer:
Step-by-step explanation:
Fill in the given expressions and simplify.
Going the other way, we have ...
