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:
F = 48
Step-by-step explanation:
F= 8/5 (c) + 40
Let c=5
F = 8/5 * 5 +40
= 8 + 40
= 48
Total cost = student cost + adult cost
t = 25s + 3(s+3)
t=28s+9
Answer:
Part 1) The inequality that represent this situation is 
or 
Part 2) Yes, 8 inches is a reasonable width for his tablet
Step-by-step explanation:
Part 1)
Let
L -----> the length of the screen television
W ----> the width of the screen television
x ----> the width of Andrew's tablet
we know that
------> equation A
----> equation B
The area of the television is
-----> equation C
Substitute equation A and equation B in equation C
------> inequality that represent this situation
Part 2) Determine if 8 inches is a reasonable width for his tablet
For x=8 in
Substitute in the inequality
-----> is true
therefore
Yes, 8 inches is a reasonable width for his tablet
