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
Answer:
reflection, then rotation, then translation
Step-by-step explanation:
Read the problem statement. It tells you the sequence:
Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.
The transformations are ...
reflection, then rotation, then translation
I'll give a practice problem to help explain it a bit better.
Here, let's try to solve 45% of of 60.
First, we convert the percentage into a decimal. To turn any percentage into a decimal you move the point two spaces to the left.
That means 45% as a decimal is .45.
Next, we multiply our number, 60, by the decimal .45.
60×.45=27.
That means 45% of 60 is 27.
To sum it all up, you have to get the percentage, move the decimal point two spaces to the left, and multiply it by the number you were trying to find the percentage of.
Have a wonderful day! :)
Answer:
0.87 > 0.17
3.97 < 6.63
8.04 < 8.9
Is that what ur looking for?
Step-by-step explanation:
275 is the answer to the question