Answer:
20 miles
Step-by-step explanation:
The formula for distance is
d =rt where r is the rate and t is the time
We need to convert the time to hours since the rate is in mph
15 minutes * 1 hour/ 60 minutes = 1/4 hour = .25 hours
d = (80 mph) * .25 hours
d = 20 miles
For this case, we can model the problem as a triangle with a right angle.
Where,
x, y: lengths of the sides of the triangle
d: hypotenuse of the triangle
We then have the following relationship:

Clearing d we have:
Answer:
A functions that would best model the situation above is:
D square root
Answer:
see attached
Step-by-step explanation:
The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.
_____
The (x, y) components are ...
7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)
Answer:

Step-by-step explanation:
We want to simplify:

To simplify this, we need to write the negative index as positive.
So we use the property,

When we apply this property, we get:

Therefore the fourth option is correct.