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-Dominant- [34]
3 years ago
15

A car travels at 65 miles per hour. Going through construction, it travels at 3/5 this speed. Write this fraction as a decimal a

nd find the speed.
Mathematics
2 answers:
nata0808 [166]3 years ago
8 0
3/5 = 60/100 = 0.6

   65 
 x 60
=  00
3900

3900 / 100 = 39. 

While going through construction, the car travels at 39mph. 

tatiyna3 years ago
6 0

Answer:

Speed = 39. 0 miles per hour.

Step-by-step explanation:

Given : A car travels at 65 miles per hour. Going through construction, it travels at 3/5 this speed.

To find : Write this fraction as a decimal and find the speed.

Solution : We have given

A car travels in 1 hour  =  65 miles .

Speed = \frac{distance}{time}.

Speed = \frac{65}{1}

Speed = 65 miles per hour .

According to question :

It travel  \frac{3}{5} of the speed.

To convert fraction in to decimal .

\frac{3}{5} = 0.6

So, it travel 0.6 of speed .

Speed = 0.6 * 65 .

Speed = 39. 0 miles per hour.

Therefore, Speed = 39. 0 miles per hour.

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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)
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So far so good. 
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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)
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