Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
B.
Step-by-step explanation:
Reflection in the x-axis. when you reflect in the x axis, the x -axis remains the same but the y-axis becomes opposite. (It's sign is changed)
Step-by-step explanation:
Can you show the picture then i will edit it
Answner:
negative
Step-by-step explanation:
I hope it can help.
Answer:
A = $15,696.72
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r/n)^(nt). Here the number of compounding periods is nt, or (12 per year)(5 years) = 60.
Our formula becomes A = $11,499(1 + 0.062/12)^60, which works out to:
A = $11,499(1 + 0.0052)^60, or
A = $15,696.72
The monthly payment is $15,696.72/60, or $261.61.