Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
</em>
<em>
</em>
<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
</em>
<em>
</em>
<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
</em>
<em>
</em>
<em>
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
</em>
<em>
</em>
<em>
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
</em>
<em>
</em>
<em>
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
</em>
<em>
</em>
<em>
Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Answer:
40
Step-by-step explanation:
(6 + 2i)(6 - 2i)=40
Answer:
b and d/ a and c
Step-by-step explanation:
The formula is : A=6a^2
So lets say its a cube with edge lengths of 4
We first find out the area of each side by multiplying 4*4
They you multiple the answer of that, 16, by 6, for each of the sides.
A = 96 Units ^2
15=7x+1-5x
Put like terms together. ( group anything alike)
15+1=16
7x-5x=2x
16 2x
—- ——-
2x 2x
2x/2x cancels itself out.
16 divided by 2 is 8
x=8
I hope this helped!
