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.
Answer:
Change in price = 0.154
Step-by-step explanation:
Given that,
The price on Monday = 24.85
The price on Friday = 25.004
We need to find the change in price from Monday to Friday. It can be calculated as follows :
Change = 25.004 - 24.85
= 0.154
So, the required change in the price is equal to 0.154
.
Answer:
Yes . You are correct.
Step-by-step explanation:
(x + 5)^2 + (y + 10)^2 = 81.
Y > x
y = 2(3+x)
y = 3x-2
------------------------------
2(3+x) = 3x-2
2(3+x) - (3x-2) = 0
6 + 2x -3x + 2 = 0
8 -x = 0
x = 8
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y = 2(3+x) = 2(3+8) = 22
y = 3x-2 = 3*8 -2 = 22
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x = 8 ; y = 22
49 would be the answer I hope it helps
