Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
Exponential growth because a decay would be a fraction in the parenthesis
Step-by-step explanation:
3x^2-2x+1
3(2)^2-2(2)+1
3(4)-4+1
12-4+1
8+1=9 Answer
The answer is(99+15)11
i hope this help
<u>Information:</u>
Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.
<u>Define x:</u>
Let x be the number of books sold.
<u>Construct Equation:</u>
For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x
<u>Solve x:
</u>
24.5x = 32634 + 8.75x
Take away 8.75x from both sides:
15.75x = 32634
Divide both sides by 15.75:
x = 2072
Answer: The publisher must sell 2072 books.
