Answer:
z ≈ 145.62
Step-by-step explanation:
using the sine ratio in the right triangle
sin18° = 
= 
( multiply both sides by z )
z × sin18° = 45 ( divide both sides by sin18° )
z = 
≈ 145.62 ( to the nearest hundredth )
Is this the full question?
First, find the value of x. Note that the angles x, 0.5x and 3x sum up to 4.5x, and that this sum has the value 180 degrees. Solving this equation for x, we get x = 40 degrees.
Now, 0.5x and 0.5y are vertical angles, and thus x = y. So, with x being 40 degrees, y = 40 degrees.
(2,0)
(-6,0)
I just inserted the equation into a graphing calculator. Kinda lazy tonight :/
Answer:
Step-by-step explanation:
The absolute maximum of a continuous function 
is where 
. Therefore, we must differentiate the function and then set 
and to determine the value of 
:
Therefore, when , the absolute maximum of the function is .
I've attached a graph to help you visually see this.
