Answer:
or 8.944
Step-by-step explanation:

Simplify

Square root both sides to get x by itself

or 8.944
Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:



We relate to: 
From the question;
l = 34,
So to find
, we get;




d = 33.46
So, we have:




Answer:
Capital value after 1 year will be equal to $45150
Step-by-step explanation:
We have given principal amount P = $42000
Rate of interest r = 7.5 %
Time t = 1 year
Capital value is given by 
So 

So capital value after 1 year will be equal to $45150
Answer: a) 75 degrees. Why? This is given
b) 75. Same side Exterior and interior angles are congruent that are cut by a transversal. Theorem.
c) 75 degrees. See above.
Step-by-step explanation: