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.
The total length of a line segment is the sum of the lengths of its parts.
MQ = MK + KQ . . . . . . express the relationship between the segments
15 in = 7 in + KQ . . . . . fill in the given information
(15 - 7) in = KQ . . . . . . .subtract 7 in
KQ = 8 in . . . . . . . . . . . simplify
The measurement of KQ is 8 inches.
Answer:
784.16
Step-by-step explanation:
use the formula for simple interest =
P(1+r)^t
so
3180(1.065)^3.5 - 3180
Step-by-step explanation:
The number of people to paint the bridge is inversely proportional to the number of hours it takes.
(If there are more people, it will take less time etc.)
9 people can paint the bridge in 5 hours.
=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.
Formula of the area of a triangle:
A = hbb/2
Plug in the numbers.
26 · 26/2
= 338
Therefore, the area of the triangle is 338
