Answer:
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
Step-by-step explanation:
Data provided in the question:
Distance between the center and Luke = 17 feet
Distance between the Inga and center = 25 feet
Frequency of rotation, f = 30 rpm
Now,
Angular speed, ω is given as = 2πf
thus,
ω = 2π × 30
or
ω = 188.49 rad/s
here the angular speed is independent of radius
Therefore,
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
The first digit of the password can be any of the ten digits - 10 possibilities.
A digit cannot be repeated, so the second digit can be any digit except the one you chose for the first digit - 9 possibilities.
The third digit can be any digit except the digits you chose for the first and second digit - 8 possibilities.
Using the rule of product:

There are 720 passwords.
Answer: Her refund would be $5,681.20.
The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618
However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060
So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8
The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2
Answer:
60 yards
Step-by-step explanation:
300 = 2(30 + w) + 2(w)
300 = 60 +2w + 2w
300 = 60 + 4w
240 = 4w
60 = w