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:
Each person paid $24.
Step-by-step explanation:
1. Find 20% of 40. Since 20% is equal to 1/5, we can divide 40 by 5 to get 8. Together they tipped $8.
2. We know that the total amount they paid was $48, so we divide that in half to get the answer. 48 divided by 2 is 24.
3.5 miles per hour :) hopefully this helps!
If 1/4 of x is 16, we multiply 16 x 4 which will give us x=64. 3/4 of 64 = 48
Answer:
20y^7. this is because the exponents are added together because the variable attached to the coefficient are the same therefor the coefficients are multiplied, and the exponents are added together.
