Answer:
The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)
Step-by-step explanation:
The cosine function equation is given as follows h = d + a·cos(b(x - c))
Where:
= Amplitude
2·π/b = The period
c = The phase shift
d = The vertical shift
h = Height of the function
x = The time duration of motion of the wave, t
The given data are;
The amplitude
= 2 feet
Time for the wave to pass the dock
The number of times the wave passes a point in each cycle = 2 times
Therefore;
The time for each complete cycle = 2 × 30 seconds = 60 seconds
The time for each complete cycle = Period = 2·π/b = 60
b = π/30 =
Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have
h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)
The cosine function is h = 2·cos((π/30)·t).
Omg sorry i don’t really know i hope someone answers your question
Answer: 20/3 square inches
Step-by-step explanation:
Area = length*width
length = 5 in.
width = 4/3 in.
A = 5 * (4/3) = 20/3 in^2
1/8 divided by 3/4 is (1/8) / (3/4). When you divide fractions, you flip the 2nd number and change the divide into multiply. So (1/8)*(4/3). Multiply top by top and bottom by bottom to get 4/24. That simplifies to 1/6