Area = length * width
A = 60 * 20
A = 120 square feet
The two equations are:
x = 5y - 18 (vertically opposite angles are equal)
x + y = 180 (Alternate angles , adjacent angles on a straight line)
x = 5y - 18 ---------------- (1)
x + y = 180 ---------------- (2)
From (2):
x + y = 180
y = 180 - x ---------------- Sub into (1)
x = 5(180 - x) - 18
x = 900 - 5x - 18
6x = 882
x = 147 ---------------- Sub into (2)
x = 147
y = 180 - 147 = 33
Answer: x = 147, y = 33
3 3/4 -2 1/2=
15/4-5/2=
15/4-5/2*2/2=
15/4-10/4=
5/4=
5/4 divided by 2 (gives you the distance from the edge if you put the sticker in the center)
5/4 / 2/1=5/8 inches from the edge
I think this is correct. Hope it helps
Answer:
45 degrees
Step-by-step explanation:
when an angle is bisected both angles formed are equal, so 90/2=45
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
