A city plans to build a new rectangular-shaped park. The perimeter of the park will be 940 meters. The width of the park will be
1 answer:
Answer: 170 meters.
Step-by-step explanation:
1. The formula for calculate the perimeter of a rectangle is:
Where is the lenght and
is the width.
2. You must solve for the lenght.
3. The problem gives the perimeter and the width, then, when you substitute these values you obtain the following result:
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Answer:
0.015 radians per second.
Step-by-step explanation:
They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.
Which we can calculate in the following way:
θ = arc sin 100/200 = pi / 6
Then we have the following equation of the attached image:
x / 100 = cot θ
we derive and we are left:
(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt
dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)
dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)
dθ / dt = 0.06 / (-2) ^ 2
dθ / dt = -0.015
So there is a decreasing at 0.015 radians per second.
