For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.
The dimensions are 475 m by 237.5 m.
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Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
Answer: the rate at which its altitude is changing is -47 ft/s
Step-by-step explanation:
Given that;
ds/dt = 45 mph = 45 × 5280/3600 = 66 ft/sec
no we have to determine dx/dt
so
cos∅ = dx/dt / ds/dt
cos45° = dx/dt / 66
dx/dt = 0.7071 × 66
dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )
so the rate at which its altitude is changing is -47 ft/s
Answer:
x=5
Step-by-step explanation:
7 (x-8)=2x-31
Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)
7x-56=2x -31
Drag the 2x over to the other subtracting it from 7x.
7x-2x-56=-31
5x-56=-31
Drag the 56 to the other side and add it to -31
5x= -31+56 (or 56-31)
5x= 25
Divide 5x from 25 to get your X
x=25/5
x=5
Hope this helps!!
Answer:
√20 or 4.47 ish
Step-by-step explanation:
√(1--3)²+(-2--4)²
√(1+3)²+(-2+4)²
√(4)²+(2)²
√16+4
√20
4.47 ish
(Hopefully this is correct, have a nice day!)