we know that
Step 
in the right triangle XYZ
Applying the Pythagorean Theorem
Find the value of ZY


Step 
in the right triangle XYZ
Find tan
°
we know that

in this problem
opposite side angle
is ZY
adjacent side angle
is XZ
so

therefore
the answer is

In order to solve this, you have to set up a systems of linear equations.
Let's say that children = c and adults = a
30a + 12c = 19,080
a + c = 960
I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.
a + c = 960
- c - c
---------------------- ⇒ Step 1: Solve for either a or c in either equation.
a = 960 - c
20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
19,200 - 8c = 19,080
- 19,200 - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
8c = -120 into the opposite equation.
------ ---------
8 8
c = -15
30a + 12(-15) = 19,080
30a - 180 = 19,080
+ 180 + 180
-------------------------------
30a = 19,260
------- -----------
30 30
a = 642
__________________________________________________________
I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong.
2000(1.0625)dave vs sam 2000(1.05)+30
2125 dave vs. sam 2,100+30
2125 dave vs. sam 2130
dave is correct, because it costs five dollars less in massachusetts than in Maine
The answer is <span>amplitude = 2 feet; period = 24 hours; midline: y = 3
x1 - the lowest point
x2 - the highest point
x1 = 1 ft
x2 = 5 ft
t1 = 0
t2 = 24
The amplitude is: (x2 - x1)/2 = (5 - 1)/2 = 4/2 = 2 ft
The period is: t2 - t1 = 24 - 0 = 24 h
The midline is: (x1 + x2)/2 = (5 + 1)/2 = 6/2 = 3 ft</span>
2 because if you divided 8/12 by 2/6=2