a nickle is approximately 20mm in diameter and a quarter is about 25 mm in diameter. if the nickle is enlarges to a diameter of 128mm, what would be the diameter of the quarter using the same scale?

128 * (25/20) = 128 * 5/4 = 32*5 = 160

The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. a wire with length of 200 inches and a diameter of one- quarter of an inch has a resistance of 20 ohms. find the electrical resistance in a 500 inch wire withe the same diameter

To find the diameter of the quarter using the same scale, we need to establish a proportional relationship between the diameter of the nickel and the diameter of the quarter.

First, let's determine the scale factor by comparing the original diameter of the nickel (20mm) to its enlarged diameter (128mm). We can do this by dividing the enlarged diameter by the original diameter:

Scale factor = Enlarged diameter / Original diameter

In this case, the scale factor would be:

Scale factor = 128mm / 20mm
Scale factor = 6.4

Now, we can find the diameter of the quarter by multiplying the original diameter of the quarter (25mm) by the scale factor:

Diameter of quarter = Original diameter of quarter * Scale factor

Diameter of quarter = 25mm * 6.4
Diameter of quarter ≈ 160mm

Therefore, if the nickel is enlarged to a diameter of 128mm using the same scale, the diameter of the quarter would be approximately 160mm.