Answer:
Angle E = 73 degrees
Step-by-step explanation:
Supplementary means it equals 180 degrees.
So to find x, you add the 2 equations.
2x + 15 + 5x - 38 = 180
which equals 7x + (-23) = 180 = 7x - 23 = 180
7x = 203 You move the -23 to the other side
203/7 = 29 So x = 29 degrees
So to find angle E, you put in 29 degrees for x.
2 x 29 + 15 = 73 degrees
Answer:

Step-by-step explanation:
Since the buoy is going up and down, its motion is oscillatory, and therefore, it can be described by a trigonometric function.
The buoy starts at height of 0 in relation to the sea level, which means at time
,
, this tells us that trigonometric function modeling the buoy must be the sine function since for
, at
,
.
The maximum displacement of the buoy in either direction is 6 feet, this means we have

now we need to figure out
.
The time it takes the buoy to get from its lowest point to its highest point is 4 seconds, that means the period
of oscillation is
seconds. The buoy returns to to the same place after one period, this means if the buoy started from 0, it will return to 0 after 8 seconds; therefore, from
the we have:


Now the final equation looks like

Answer:
A - 3307,50
Step-by-step explanation: