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
The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.
Answer:
see below
Step-by-step explanation:
16x^2 − 8x + 1
(4x)^2 -8x +1
Factor
This is a perfect square trinomial
a^2 -2ab +b^2 = (a-b)(a-b)
(4x)^2 -8x +1 = (4x-1) (4x-1)
The area of a square is given by
A = s^2
(4x-1) ^2 = s^2
4x-1 = s
The side length is 4x-1
(81x^2 − 4y^2)
(9x)^2 - (2y)^2
This is the difference of squares
a^2 - b^2 = (a-b) (a+b)
(9x-2) (9x+2)
The area of a rectangle is
A = l*w
(81x^2 − 4y^2) = (9x-2) (9x+2)
The dimensions are (9x-2) (9x+2)
Answer:
i think ur in a higher grade then me but im good w/ equations so OoOO0p
Step-by-step explanation:
equation: y = x - 6 + x^2
(6,0) (7,1) (8,4) (9,9)
I figured this out by looking at the point (6,0). To get 0 (y), you have to subtract 6. Knowing this, I subtracted 6 from the rest of the coordinates, leaving me with numbers that are able to be squared to get y. This led me to the equation x - 6 + x^2.
You would divide 2 by 2 and 8 by 2
So your answer would be 1/4
