In the electric currect flow, it is found that the resistance (measured in the units called ohms) offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. if a wire 0.01 in. in diameter has a resistance of 0.447 ohms, what is the resistance of a wire of the same length and material with diameter 0.0192 in. to the nearest ten-thousandth?

0.1213 ohms

Step-by-step explanation:

If a quantity, A, varies inversely as the square of another quantity, B, we can write the proportionality equation as:

In our problem, we have,

Resistance varies inversely as the square of Diameter

Let resistance be r and diameter be d, so we can write:

Where

k is the proportionality constant to be found

Now, it is given that

r = 0.447

d = 0.01

We substitute and find k:

Again, we need to solve for r, given k = 0.0000447 and now d = 0.0192. Thus, we have:

The resistance is 0.1213 ohms

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*