...b = height of dock, and c = length of rope. a^2 + b^2 = c^2 2a da/dt + 2b db/dt = 2c dc/dt a da/dt + b db/ddt = c dc/dt 5 da/dt + 12(0) = 13 • 4 5 da/dt = 52 da/dt = 10.4 The boat is going 10.4 ft/sec. As it gets closer to...

1 Answers · Science & Mathematics · 11/10/2010

...b + c) = 1 b + c = 8 b = 8 - c Speed of current—c: c + 6 = 8 - c 2c = 2 c = 1 Speed of boat : = 1 + 6 = 7 Answer: speed of current, 1 mph; speed of boat , 7 mph

3 Answers · Science & Mathematics · 29/09/2009

...'s a pretty healthy drive but well worth it ie., boating , fishin' annnnd ya' be so close to the town ....google.com/maps?saddr=Livermore% 2C +CA.&daddr=37.0510763144% 2C -121.08987173...

1 Answers · Sports · 14/07/2007

...b = height of dock, and c = length of rope. a^2 + b^2 = c^2 2a da/dt + 2b db/dt = 2c dc/dt a da/dt + b db/ddt = c dc/dt 5 da/dt + 12(0) = 13 • 4 5 da/dt = 52 da/dt = 10.4 The boat is going 10.4 ft/sec. As it gets closer to...

3 Answers · Science & Mathematics · 02/03/2010

...of the boat to the dock C = length of rope that is pulling the boat Differentiating the above, 2A(dA/dt) + 2B(dB/dt) + 2C (dC/dt) Since A = 6 ft (constant), dA/dt =0 dB...

1 Answers · Science & Mathematics · 16/04/2008

...10 + 10*10 = 70 ft c ≈ 122 ft by pythagoras now c² = a² + b² 2c dc/dt = 2a da/dt + 2b db/dt c dc/dt = a da/dt + b db/dt ........... [ I...

1 Answers · Science & Mathematics · 18/02/2013

let x be the distance between pulley and boat , let c be the length of the rope so that; 1^2 + x^2 = c^2...respect to time: d/dt(1^2 + x^2) = d/dt(c^2) 2x dx/dt = 2c dc/dt x dx/dt = c dc/dt (8)dx/dt = sqrt(65)(-1.2) dx/dt...

1 Answers · Science & Mathematics · 19/07/2015

...3 hr 18/(b-c) = 3 18 = 3b - 3c 2b + 2c = 3b - 3c 5c = b by substitution 18 = 2c + 2(5c) 18 = 12c c = 1.5 km/hr b = 5(1.5) = 7.5 km/hr Speed of boat in still water: 7.5 km/hr current: 1.5 km/hr

3 Answers · Science & Mathematics · 22/01/2010

Variables: r = rate of boat c = speed of current Convert 20 minutes to...equation. 10 = (r - c) / 2 10 = (30 - c - c) / 2 10 = (30 - 2c ) / 2 Cross-multiply. 10 * 2 = (30 - 2c ) * 1 20 = 30...

3 Answers · Science & Mathematics · 30/01/2009

Boat speed = b. Stream current speed = c. since speed = distance /time, b+c = 48 miles/3 hours = 16, b- c... = 4. Subtracting the second from first eliminates ' b ' to leave 2c = 12. c = 6 miles / hour = Stream current

4 Answers · Science & Mathematics · 13/07/2011