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:
C seems right to me
Step-by-step explanation:
<u>Answer:</u>
1
you rise 1
then run to the right 1
1/1 = 1
let me know if you need a more in-depth explanation.
1. Write as an algebraic equation:
12 + n ≤ 2n - 8
2. Solve for n.
12 + n - 12 ≤ 2n - 8 - 12
n ≤ 2n - 20
n - 2n ≤ 2n - 20 - 2n
-n ≤ -20
Multiply both sides by -1 (this means you must flip the inequality sign).
n ≥ 20
FINAL ANSWER: n ≥ 20
Hope this helps! Feel free to ask for clarification.
Answer:
x = -2.5
Step-by-step explanation:
Step 1: Write equation
-6.2 - 12.6x = 5.8 - 7.8x
Step 2: Solve for <em>x</em>
<u>Add 12.6x on both sides:</u> -6.2 = 5.8 + 4.8x
<u>Subtract 5.8 on both sides:</u> -12 = 4.8x
<u>Divide both sides by 4.8:</u> x = -2.5
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)
-6.2 + 31.5 = 5.8 + 19.5
25.3 = 25.3
