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
Cable company marked up monthly cost by 6% .New cost = $63.6
cost before increase = 63.6 × 100/106
= $60
Answer:
Step-by-step explanation:
Add the fractions since the denominators are the same.
Simplifying the fraction.
X * 0,8 = 259,2 <=>
x = 258,2/0,8 <=>
x = 322,75
The total budget was 322,75$
If $.72 per 1lb, then $x per 2.7lb, by using proportional property:
.72/1 = x/2.7 cross multiply
x = (.72)*(2.7) = $1.94
