Answer:
if sinx=3/5=P/H
using pythogoras thoeren find B
B²= H²-P²
B²= 25-9
B=4
Tanx = P/B= 3/4
3.
n(S)= 6
n(O) = 3 {1,3,5)
P(O) = n(O)/n(s)= 3/6=1/2
Step-by-step explanation:
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:
m = 25/28
Step-by-step explanation:
It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity: 2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).
The LCD is 14; each of the denominators {7, 14} divides evenly into 14. Hence our equation becomes
(4)(m - 1/7) = 3
... after multiplying every term by 14.
Let's multiply each side by 7 to eliminate the remaining fraction:
4(7m - 1) = 21, or
28m - 4 = 21, or
28m = 25.
Hence, m = 25/28.
