Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is

Solving the equation we get,








Neglecting n=-3
So, n=4
Then Alan's speed in m/min is



Brian completes 3 laps in that 9-minute time, so his rate is


Therefore, Alan: 200 m/min
Brian: 150 m/min
64/100 is easy its just 64 out of 100
<h3>
Answer: 37 degrees</h3>
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Explanation:
The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.
So angle RMI = 106 is bisected, i.e. divided in half, to get
- Angle RMN = 53
- Angle NMI = 53
since 106/2 = 53
Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,
angle RMJ = (angle NMJ) - (angle RMN)
angle RMJ = 90 - 53
angle RMJ = 37 degrees
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In short: divide 106 in half to get 53, then subtract it from 90
<h2>AREA OF RECTANGULAR PRISM=AREA OF cuboid =l×b×h</h2><h2>=15x×7x×3x</h2><h2>=315x³</h2>
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