<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)
tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)
Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)
(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>
Using it's concepts, we have that:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
- Since each value of the input is mapped to only one value of y, it is a function.
<h3>
What are the domain and the range of a relation?</h3>
- The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.
- The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
<h3>When does a relation represents a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that <u>each value of x is mapped to only one value of y</u>, that is, there are no vertically aligned points, hence the relation is a function.
More can be learned about relations and functions at brainly.com/question/12463448
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The first on is 600
The second one is 120
Answer:
I believe the answer is C.
Step-by-step explanation:
Shayla forgotten that the further you are away, the more colder it gets or you are further away from zero. It is more warmer at 12pm than 8am as it was -1 degrees celsius which is warmer than -4 degrees celsius.
9514 1404 393
Answer:
(a) 2 * 2 * 2 * 2 x 5
Step-by-step explanation:
80 = 16×5 = 2⁴×5 = 2·2·2·2×5
