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Zolol [24]
3 years ago
11

What is 5(4x-5y)-2=453

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

5(4x-5y)-2=453

5(4x-5y)=455

4x-5y=91

When solving for x

4x=5y+91

x= 5y+91/4

When solving for y

-5y=-4x+91

y=-4x+91/-5

<em>i hope im right...</em>

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Since the radius of a circle is half its diameter, the radius of our Ferris wheel is r= \frac{220}{2} =110ft

Next, we are going to convert from revolutions per minute to degrees per second.
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<span>
Now, lets find the height:
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Notice that the height at the top is the diameter of the wheel plus the height above the ground, so h=220+125=345.

To model the situation we are going to use the cosine function, but notice that cos (\alpha) is 1 when \alpha =0 and -1 wen \alpha =180. Since we want the opposite, we are going to use negative cosine.
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Now that we have our height function lets check if everything is working:
<span>the passenger is at the lowest point at t=0; we also know that the lowest point is 125 feet above the ground, so lets evaluate our function at t=0:
</span>h=225-110cos(3t)
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We can conclude that cosine function that express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes) ) is: h=225-110cos(3t)
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