Answer:
a) Δx = -35ft
b) Δx = -25ft
c) Kyle traveled 10ft more than John
Step-by-step explanation:
We define a coordinate reference system() in which y = 0 corresponds to the water surface.
a) The initial position of Kyle in our coordinate reference system is:

and his final position is:

Therefore, he traveled
Δx = 
b) The initial position of John in our coordinate reference system is:

and his final position is:

Therefore, he traveled
Δx = 
c) Then, Kyle traveled 10ft more than John
Hi there!
In order to solve, we need to use the formula for the area of a circle, and the angle given to find the area of the sector. Then, subtract the area of the triangle to find the area of the segment. We would use the equation : A = x/360 (pi * r^2) - 1/2(b * h). We need to plug in 90 for the angle measurement, 8 for the radius, and 8 for both the base and height.
WORK:
A = 90/360 (pi * 64) - 1/2(64)
A = 1/4(64pi) - 32
A = 16pi - 32 = ~ 18.3ft^2
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
To find A' they used the rule of multiplication, which is:
the derivative of a product of two terms is the first term times the derivative of the second term plus the second term times the derivative of the first.
To find b' they just isolated b'
Answer:
probability (captain will be a sophomore)
= 8/32 = 1/4
probability (not a sophomore)
= 1 = 1/4
= 3/4
Step-by-step explanation: