The factor of 48 are : 1,2,3,4,6,8,12,16,24,48
The prime factor are : 2x2x2x2x3
I think your answer would be D.0562
Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
The only correct answer is "D" 9X-3.
We can represent each company's graph by the following equations
V = (0.04)*H...............(Company P)
V = (0.06)*H...............(Company S)
(V represents the vacation hours and H the hours worked)
If both work 2080 hours
V1 = (0.04)*(2080) = 83.2 vacation hours..............(Company P)
V2 = (0.06)*(2080) = 124.8 vacation hours ..............(Company S)
124.8 - 83.2 = 41.6 hours
The friend at company S will have about 42 more vacation hours that the friend at company P
