SOLUTION: The lenght of Jim's leader is always 2 feet shorter than lenght of this fishing rod.If the product of the lenght of the leader and lenght of the rod equals the strenght of his line
Algebra.Com
Question 151132: The lenght of Jim's leader is always 2 feet shorter than lenght of this fishing rod.If the product of the lenght of the leader and lenght of the rod equals the strenght of his line in pounds and he uses a 16 lb line,what is the lenght of his leader?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The lenght of Jim's leader is always 2 feet shorter than lenght of this fishing rod.If the product of the lenght of the leader and lenght of the rod equals the strenght of his line in pounds and he uses a 16 lb line,what is the lenght of his leader?
------------
Let the length of the leader be "x".
Let the length of his rod be "r".
-------------------------
EQUATIONS:
x = r-2
x*r = 16
-------------
Substitute to solve for "r":
(r-2)r = 16
r^2-2r-16 = 0
r = [2 +- sqrt(4-4*1*-16)]/2
r = [2 +- sqrt(4+64)]/2
r = [2 +- sqrt(4*17)]/2
r = [2 +- 2sqrt(17)]/2
Positive answer:
r = [2+2sqrt(17)]/2 = 5.123 ft is the rod length
x = r-2 so leader length = 3.123 ft
=====================================
Cheers,
Stan H.
RELATED QUESTIONS
The length of Jim's leader is always 2 feet shorter than the length of his fishing rod.... (answered by Stitch)
The length of Jims leader is always 2 feet shorter than the length of his fishing rod. If (answered by Nate)
if the lenght of lenght of rectangle is 56 cm and breadth is 42. find the lenght of each... (answered by Lavitesh)
By how much should a mechanist decrease the lenght of a rod that is 4.78 cm long if the... (answered by DWL)
The lenght of a rectangle is 6 feet more than twice the width. If the lenght is 24 feet,... (answered by privani)
A board 20 feet long is cut into two pieces such that the lenght of one piece is... (answered by checkley77)
The lenght of the sides of a triangle are consecutive even integers. Find the lenght of... (answered by SAT Math Tutor)
Find the lenght of a rectangle if its width is 13 less than the lenght and its perimeter... (answered by TimothyLamb)
A scale drawing of a metal rod used in a construction project is 1/2 inch height and 1... (answered by Cromlix)