The next 2 answers are: -2/5 and -3/5
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by

Differentiating the above equation with respect to time yields,


dx/dt = 0 since dock height doesn't change


The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,



Therefore, the boat is approaching the dock at rate of 2.14 ft/s
Answer:
5.50 + 0.88r ≤ 26.00; 24 rides
or 5.50 + 0.88r ≤ 26.00; 23 rides
Step-by-step explanation:
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i can't explain it i just look at a math problem and auotomatically know the answer
Solve for p by simplifying both sides of the equation, then isolating the variable
p = -32
Answer: -32
Hope this helps! :)
~Zain