<span>Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11(</span> s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.
We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.
<h3>
Is the fence enough?</h3>
For a rectangle of length L and width W, the perimeter is given by:
P = 2*(L + W).
In this case, we know that:
L = 120 ft
W = 75 ft
Replacing that on the perimeter equation we get:
P = 2*(120 ft + 75 ft) = 390 ft
So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.
So the statement is correct.
If you want to learn more about perimeters, you can read:
brainly.com/question/24571594
Answer:
Answer Is (Answer) Trust me 100% sure.️Hit that report button Too:)
Step-by-step explanation:
I honestly don't know because i'm only in sixth grade but I think that it might be 30*.