Find the volume of a prism. The area of the pentagonal base is (124/tan36°)m² . It’s height is 13 m. If necessary, round your an
1 answer:
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Answer:
- (9.5, 6.5) and (-4.5, -7.5)
Step-by-step explanation:
Let the extended points be A' and B' and add the point M as midpoint of AB
<u>Coordinates of M are:</u>
- ((6 - 1)/2, (3-4)/2) = (2.5, -0.5)
Now point A is midpoint of A'M and point B is midpoint of MB'
<u>Finding the coordinates using midpoint formula:</u>
- A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)
- B' = ((2*(-1) - 2.5), (2*(-4) - (-0.5)) = (-4.5, -7.5)
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.
