Answer: last option
Step-by-step explanation:
You need to remember the identity:

You need to find the cosine of angle P, then, you can identify in the figure that:

Therefore, the next step is substitute these values into
, then you get:

You can observe that this matches with the last option.
Answer:
Domain: [0, 40]
Range: [0, 20]
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation - [a, b] denotes inclusive, (a, b) denotes exclusive
Step-by-step explanation:
According to the graph, we see that our x-values span from 0 to 40. Since both are closed dots, they are included in the domain:
Interval Notation [0, 40]
Inequality Notation 0 ≤ x ≤ 40
According to the graph, we see that our y-values span from 0 to 20. Since both are closed dots, they are included in the range:
Interval Notation [0, 20]
Inequality Notation 0 ≤ y ≤ 20
Answer:
<B=<D
Step-by-step explanation:
This is becasue angle B is 90 degrees while angle D is 29 degrees.