SOLUTION: If you all could solve this one, I would be able to solve the rest that are like it and you would have my eternal adoration. The diameter (in inches) of a a 80 foot long wire ha

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If you all could solve this one, I would be able to solve the rest that are like it and you would have my eternal adoration. The diameter (in inches) of a a 80 foot long wire ha      Log On


   



Question 91091: If you all could solve this one, I would be able to solve the rest that are like it and you would have my eternal adoration.
The diameter (in inches) of a a 80 foot long wire has that a resistance of 24 ohms is defined by the function 24= 80/d2 (to the power of two that is). What is its diameter?

Found 2 solutions by stanbon, psbhowmick:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The diameter (in inches) of a a 80 foot long wire has that a resistance of 24 ohms is defined by the function 24= 80/d^2 (to the power of two that is). What is its diameter?
=======================
24= 80/d^2
Multiply both sides by d^2; divide both sides by 24
d^2 = 80/24
Take the square root of both sides to get:
d = 4sqrt(5)/2sqrt(6)
d = 2sqrt(5)/sqrt6
Multiply numerator and denominator by sqrt6 to get:
d = 2sqrt30/6
d = sqrt30/3
d = (1/3) sqrt30
=================
Cheers,
Stan H.

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
It appears that you are required to solve the equation
24=+80%2Fd%5E2
d%5E2+=+80%2F24
d%5E2+=+10%2F3
d+=+sqrt%2810%2F3%29
d = 1.8257

Improve your Grammar as what you actually meant is not very clear.