Answer:
50.528º
Step-by-step explanation:
tanA = BC/BA
tanA = 17/14
A = 50.528º
Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles
<h3>How to find altitude using visibility formula?</h3>
The visibility formula is given as follows:
v = 1.225√a
where
- a = altitude
- v = visibility
Therefore,
v = 67.1 miles
v = 1.225√a
67.1 = 1.225√a
divide both sides by 1.225
√a = 67.1 / 1.225
√a = 54.7755102041
square both sides
√a² = √54.7755102041
a = 7.40104789878
a = 7.4 miles
learn more on visibility here: brainly.com/question/16166215
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}
To find the midpoint you find the average x and the average y values. The average of 1 and 9 is 5, and the average of 4 and 16 is 10. The midpoint would be (5,10).
Answer:
Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
Since after 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air, while after 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air, to determine who was descending at a faster average rate and what is Mel's rate of change, the following calculations must be performed:
You must subtract the difference between the two times for each person, and check which is the highest rate between the two.
Mel =
(50 - 35) / (5 - 2) = X
15/3 = X
5 = X
Victor =
(60 - 50) / (4 - 1) = X
10/3 = X
3.33 = X
Therefore, Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
