The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 4100ft long with a diameter of 0.11 inches is 7858 ohms, what is the resistance of 3300ft of the same type of wire with a diameter of 0.06 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.

D. triangular pyramid