Answer:
Tan θ = y/z
Step-by-step explanation:
Reference angle = θ
Opposite side to θ = y
Adjacent side = z
Thus:
Tan θ = opposite/adjacent
Tan θ = y/z
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
Answer:
x=24
Step-by-step explanation:
Here, you need to make proportion and find x.
12:16=18:x
We multiply 12 by x and 16 by 18:
12x=288
Divide by 12 both sides :
x=24
X= 2 over 9 or in decimal form 0.2222....
Answer:
Sarah can have the plumber work on her faucet for six (6) hours maximum
Step-by-step explanation:
Hi
As Sarah has only $234.50 in her savings and the plumber charges $50 just to come to her home, so left-over $184.50 of her saving for pay work hours.
Then as the plumber charges $30.75 per hour we have that 
is the maximum amount of hours that Sarah can have the plumber work on her faucet.
