An athlete completes 4 laps around a track with a radius of 25 meters in 12 minutes (720 seconds). What is the magnitude of the athlete's tangential velocity?

The athlete's tangential velocity is 0.88 m/s.

Step-by-step explanation:

We have that the athlete completes 4 laps around a track with a radius of 25 meters in 12 minutes:

Where:

ω: is the angular speed

θ: is the angular displacement

t: is the time = 12 min = 720 s

The angular displacement is:

Now, the angular speed is:

Finally, the athlete's tangential velocity is:

Therefore, the athlete's tangential velocity is 0.88 m/s.

I hope it helps you!                                        

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour