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.
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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
He should pay 22.6$ because 13% of 20 is 2.6 which you get by multiplying 20 by .13 and then add it to the original 20$
Answer:
1470
Step-by-step explanation:
because 15×98=1470
D(AB) = <span>√(6-0)^2 +(3-0)^2
d(AB) = </span><span>√36+9
d(AB) = </span><span>√45
d(AB) = 3</span><span>√5
or
d(AB) = 6.71
hope it helps</span>
Answer:
Average Velocity= 70 miles per hour
Step-by-step explanation:
Distance= s
Time = t
s(t)=10t^2
Putting the values
s(2) = 10 (2)^2= 10&4
s= 40
s(5) = 10 (5)^2 = 10*25
S(5)= 250
The average velocity is defined as the rate of change of speed in unit time.
So
Speed= distance/time
Velocity = Speed in a definite direction
Average Velocity= Displacement/ Time
Average Velocity= Change in distance/ Change in time
s(5) - s(2)/ t(5)- t(2)
= 250-40/5-2= 210/3= 70 miles per hour
