<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>
Answer:
k = 33
Step-by-step explanation:
7 + k/3 = 18
=>7 + k/3 -7 = 18 - 7
=>k/3 = 11
=>(k/3) * 3 = 11 * 3
=>k = 33
<span>In order to find the expected value, we must calculate the average returns on each ticket. So After doing this, we can say that each ticket will cost $6.50. I hope this is what you were looking for </span>
Answer:
90 degrees
Step-by-step explanation:
150 - 60