Answer:
The ride will take 2 h
Step-by-step explanation:
From the question,
Deon plans to ride a 20-mi bicycle trail, that is the total distance he plans to cover is 20-mi
Distance, d = 20 mi
Also, his average speed is 10 mi/h
rate of speed, r = 10 mi/h
To determine how many hours the ride will take,
From the formula,
d = rt
where
d is the distance covered
r is the average rate of speed
and t is the time.
We can solve for t, such
d = rt becomes
t = d/r
Now, from the question
d = 20 mi
r = 10 mi/h
∴ t = (20 mi) / (10 mi/h)
t = 2 h
Hence, the ride will take 2 h (hours)
Answer:
A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
