Answer:
11.547 ft wide by 5.774 ft high
769.800 ft³ capacity
Step-by-step explanation:
Volume is maximized for a given area by having the area of a pair of opposite sides equal the area of the bottom. That means the overall area of the container is 3 times the area of the bottom. Then the square bottom will have a width of ...
w = √(400/3) ≈ 11.547 . . . feet
The height is half that, so is ...
h = w/2 = 11.547/2 ≈ 5.774 . . . feet
The capacity is then ...
w²h = (11.547 ft)²(5.774 ft) = 769.800 ft³
The container is 11.547 ft wide by 5.774 ft high. It has a capacity of 769.800 cubic feet.
_____
You want to maximize w^2h subject to w^2 + 4wh = 400. Solving the constraint equation for h, we get h = (400 -w^2)/(4w) and the volume we want to maximize can be written as ...
V = w(400-w^2)/4
This will be an extreme when dV/dw = 0, so we want to solve ...
dV/dw = 0 = 100 -(3/4)w^2
w^2 = 400/3
w = √(400/3) . . . . . as above
Answer:
3. A). (1/4), (2/3), (3,4), (4/5), (5/6)
B). I'm not sure of this one
4. A). (1/2), (3/4), (7/8), (7/6)
B). (1/6), (3/12), (4/10), (3/4), (4/3)
C). (4/10), (2/4), (4/6), (2,3), (4/5)
Step-by-step explanation:
Sorry if any of this is wrong I tried my best.
Hope you have a good rest of your day. <3
We know that 5 x 5 = 25, so the only answer choice with a 5 in it is 0.5
0.5 x 0.5 = 0.25, and the square root of that just equals 0.5.
Answer: C. 0.5
90 degrees
Hope my answer helps
Answer:
the answer is w
^2
+
9
w
+
20
Step-by-step explanation:
(5+W)(W+4)
multiply w by w and get w^2 and the 5+w=5w and 4+w=4w and get 9w and then multiply 5*4=20 and then put all together in order of greatest exponent to smallest
w^2+9w+20
hope this helps :) plz give brainiest
