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Leviafan [203]
3 years ago
15

43 is a number between

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0
There isn’t any correct answer
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WILL MAKE BRAINLIEST!!! A Ferris wheel has a diameter of 220 feet and the center of the wheel is 125 feet above the ground. The
daser333 [38]
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.
We know that t<span>he wheel makes a complete turn every 2 minutes, so it makes a complete turn in 120 seconds. Since there are 360° in a complete turn, we can set up our conversion factor:
</span>\frac{1*360}{120}=3 degrees per second 
<span>
Now, lets find the height:
</span>We know that <span>the passenger is at the lowest point on the wheel when t=0; since the wheel is 125 feet above the ground, at t=0 h=125. To find t at the top, we are going to take advantage of the fact that the wheel will turn 180° from the lowest point to the top and that it turns 3° every second:
</span>t= \frac{180}{3}
t=60
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.
Notice that we want \alpha =180 when t=60, so we are going to use -cos(3t). Next, we are going to multiply our cosine by the radius of our wheel: -110cos(3t), and last but not least we are going to add the sum of the radius of the wheel plus the height above the ground:
h=110+125-110cos(3t)
h=225-110cos(3t)

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)
h=225-110cos(3*0)
h=125 feet 
So far so good. 
We also know that at t=60, our passenger is 345 feet above the ground, so lets evaluate our function at t=60 and check if coincides:
h=225-110cos(3t)
h=225-110cos(3*60)
h=225-110cos(180)
h=345feet 

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)
8 0
3 years ago
Help its due today ill do anythinggg
e-lub [12.9K]

Answer:

80.84

Step-by-step explanation:

3 0
3 years ago
HELP PLEASE!<br>Find the value of x that makes m∥n.
Helen [10]

Answer:

Value of x = 10

4 0
3 years ago
A birthday present for Mrs. Psarros costs $24. How much less will each teacher pay if 4 teachers share the cost equally than if
nirvana33 [79]

Answer:

2 Dollars

Step-by-step explanation:

First check how much it would cost for 3 teachers to buy the present like this:

24÷3

3_/24

08

1 teacher pays 8 dollars

now If Do this Over with 4 teachers

24÷4

4_/24

06

1 teachers pays 6 dollars

now the difference is 8-6 = 2 dollars

4 0
2 years ago
How much does 12 go into 11
Anni [7]
It goes into it 0 times but what you can do is 11 going into 12 which would give you 1.1 instead of you making it a remainder. <span />
6 0
3 years ago
Read 2 more answers
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