Please helpp mecwith this question

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

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$\frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\$

$\frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\$

$\frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\$

$\frac{1}{R} = \frac{3 + 2}{24} \\$

$\frac{1}{R} = \frac{5}{24} \\$

Inverse both sides

$\frac{R}{1} = \frac{24}{5} \\$

$R = \frac{24 \times 2}{5 \times 2} \\$

$R = \frac{48}{10} \\$

$R = 4.8 \: \: Ω$

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The correct answer is (( B )) .

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