Hello!
Since Trey pays a flat monthly $6 fee, we can subtract that from the total bill:
$12.27 - $6 = $6.72
That leaves us with a total of $6.72 paid for minutes. We are told that Trey is charged 8 cents per minute of usage. Using the information above, we can create the following equation:
$0.08 x (minutes) = $6.72
Now divide $0.08 from both sides of the equation and simplify:
x (minutes) =
minutes = 84
We have now proven that Trey was billed for 84 minutes.
I hope this helps!
Answer:
Step-by-step explanation:
We have plane 1 flying SW for 4 hours at a rate of 415 mph. The distance he covers using the d = rt formula for distance, is 415(4) = 160 miles.
We also have plane 2 flying directly east (along the x-axis) for 4 hours at 327 mph. The distance he covers using the d = rt formula for distance, is 327(4) = 1308 miles. The angle in between them at this point is 135 degrees, and what we need to find is the length of the vector connecting the 2 planes. IF this was right triangle trig that distance would be the hypotenuse and we could solve for it using Pythagorean's Theorem. BUT it is NOT a right triangle, so we have to find some other means with which to solve for that length. We will use the Law of Cosines to do this.
which simplifies a bit to
If you add all of that together, you'll get
and you'll take the square root of that to get that the distance between the 2 planes after 4 hours is
2745 miles
