Ok what is 4 1/8 - 3/4
2 answers:
In order to do this, We need common denomonators.
What is something that we can times 4 by to equal 8.We can times 4 by 2 to get 8. What is done to the bottom must be done to the top, meaning you will have to times 3 by 2 as well to get 6/8. Your problem will now look like:
4 1/8 - 6/8
This means that your answer will be:
Mixed Fraction: 3 3/8
or
Improper Fraction: 27/8
What is something that we can times 4 by to equal 8.We can times 4 by 2 to get 8. What is done to the bottom must be done to the top, meaning you will have to times 3 by 2 as well to get 6/8. Your problem will now look like:
4 1/8 - 6/8
This means that your answer will be:
Mixed Fraction: 3 3/8
or
Improper Fraction: 27/8
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Step-by-step explanation:
General form of a sine or cosine wave is:
y = ±A sin((2π/T) t) + B
y = ±A cos((2π/T) t) + B
where A is the amplitude, T is the period, and B is the vertical offset or midline.
The Ferris wheel is 80 meters in diameter or 40 meters in radius.
A = 40
The Ferris wheel turns once every 8 minutes.
T = 8
The lowest point is 5 meters above the ground, so the center of the Ferris wheel is 45 meters above the ground.
B = 45
At t=0, you're at the lowest point, so use -cos.
Therefore, the equation is:
y = -40 cos(2π/8 t) + 45
y = -40 cos(π/4 t) + 45
When t = 5:
y = -40 cos(5π/4) + 45
y = 20√2 + 45
y ≈ 73.3 meters
When y = 35:
35 = -40 cos(π/4 t) + 45
-10 = -40 cos(π/4 t)
1/4 = cos(π/4 t)
π/4 t ≈ 1.318
t ≈ 1.68 minutes
Simply replace each x with the given value of x.
<u>When x = -2:</u>
<u>When x = -1:</u>
<u>When x = 0:</u>
<u>When x = 3:</u>
OR you could use a graph for this, here is how the function is going to look:
