Answer:
Light is moving at the speed = 77.78 km/min
Step-by-step explanation:
Given:
Distance between island and point P = 5 km
Moving along the the shoreline when it is 1 km from P.
So, x = 1
From the above statement light makes seven revolutions per minute.
Therefore,
Solution:
From the given figure.

Substitute x = 1
-------------------(1)
Now, first we differentiate both side with respect to t.

Using chain rule.



Substitute
from equation 1.


Substitute 

Applying cross multiplication rule.


Therefore, light is moving along the shore at the speed of 77.78 km/min
End fraction is a lot of math lol but try the 16=6 x
Answer: about 630.57 rotations per mile.
Step-by-step explanation: There are 1760 yards in one mile. 36 inches per yard. Convert miles to inches: 1760×36=63360
Figure the circumference of the tire: C=π×32 3.14×32=100.48=C
Divide the length of the mile by the circumference of the tire:. 63360/100.48 = 630.57 approximately.
To solve this you must first convert these in to decimals. 48 1/3= 48.3 repeating 6 3/4=6.75. Then you should divide 48.3 repeating by 6.75 and then you a should get your answer!