Answer:
7/6
Step-by-step explanation:
(7x/12)/(x/2)
=7/6
Answer:
3 or (0,3)
Step-by-step explanation:
<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:
$365,400
Step-by-step explanation:
If their budget is $5,060 this year and its $1,000 higher, than we can say that last year was $4060. Next, we look at the 11%. Their entertainment is 11% of the total budget. This means the rest of the budget is 89%. Multiply $4,060 by 89 which gets you $361,340. Add this with the $4060 (the 11% left) and it's $365,400. (I'm not sure if my math is 100% correct, but I know these are the proper steps.)