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
Answer:
Step-by-step explanation:
Combine like terms (terms with the same exponent).
"Standard form" means to list terms so the exponents go from high to low (descending order).
Answer:
A is the right answer
Step-by-step explanation:
It has the right definition for a function. Can't explain it much better than that...
Answer:
How is the behavior of food coloring in the cool and heated water different? ... The food coloring in cool water remained at the bottom of the container. ... the food coloring was caused by the movement of heat through the water and the formation of convection currents. The warmer water is less dense, so it rises to the surface.
Step-by-step explanation: