Answer:
3.62 ohms
Explanation:
Equivalent resistance in parallel is given as
The equivalent resistance of 20.0Ω, 12Ω, and 7Ω all in parallel
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}[/tex]
now we have
[tex]\frac{1}{R} = \frac{1}{20} + \frac{1}{12} + \frac{1}{7}[/tex]
[tex]\frac{1}{R} = \frac{84+140+240}{1680}[/tex]
[tex]\frac{1}{R} = \frac{464}{1680}[/tex]
[tex]R = \frac{1680}{464}[/tex]
[tex]R = 3.62ohms[/tex]