<h3>Answer: 6pi radians</h3>
(this is equivalent to 1080 degrees)
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Explanation:
f(x) = sin(x/3)
is the same as
f(x) = 1*sin( (1/3)(x-0) )+0
and that is in the form
f(x) = A*sin( B(x-C) )+D
The letters A,B,C,D are explained below
A = helps find the amplitude
B = 2pi/T, where T is the period
C = determines phase shift (aka left/right shifting)
D = determines vertical shift = midline
All we care about is the value of B as that is the only thing that is connected to the period T
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Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,
B = 2pi/T
1/3 = 2pi/T
1*T = 3*2pi ... cross multiply
T = 6pi
The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).
The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.
So, we have to set y=0 in our equation and look for the positive solution. We have
And the positive solution is
So that's the distance from the child where the ball strikes the ground.
-3x +5y =5
-3x + 5y = 5
5y = 5 + 3x
y=5/5 + 3x/5
y=1 + 3x/5
-2x -4y =-48
same as 2x + 4y = 48
2x + 4 (1 + 3x/5 ) = 48
2x + 4 + 12x/5 = 48
2x +12x/5 = 48-4
10x/5 + 12x/5 =44
22x = 44 times 5 = 220
x = 220/22 =10
x = 10
y = 1 + 3x10/5
y = 1 + 30/5
y = 1 + 6 = 7
y = 7
I believe this is the answer. Hope it helps
Answer:
6 to 8 percent
Step-by-step explanation:
