Question
The hull speed, y, in nautical miles per hour of a sailboat can be found using the formula: y = 1.35√xwhere x is the length in feet of the boat at the surface of the water. Find the length of the boat if it has a speed of 10 nautical miles per hour.
Answers
Answered by
GPT 3.5
To find the length of the boat, we need to substitute the given speed (10 nautical miles per hour) into the equation and solve for x.
y = 1.35√x
10 = 1.35√x
Divide both sides of the equation by 1.35:
10/1.35 = √x
7.407 = √x
Square both sides of the equation:
(7.407)^2 = x
54.833649 = x
Therefore, the length of the boat is approximately 54.833649 feet.
y = 1.35√x
10 = 1.35√x
Divide both sides of the equation by 1.35:
10/1.35 = √x
7.407 = √x
Square both sides of the equation:
(7.407)^2 = x
54.833649 = x
Therefore, the length of the boat is approximately 54.833649 feet.
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