A thin layer of paint is 9x10^-7 m thick. In​ contrast, a coin is 3.51 x 10^-3 m thick. How many layers of paint are in a stack that is the height of the​ coin?

Respuesta :

Answer:

3900

Step-by-step explanation:

Thickness of the thin layer of paint = [tex]9X10^{-7[/tex] m.

Thickness of the coin =  [tex]3.51 X 10^{-3[/tex] m.

To find out how many layers of paint are in a stack that is the height of the​ coin, we simply divide the thickness of the coin by the thickness of each thin layer of paint.

Number of Layers[tex]=\dfrac{3.51 X 10^{-3}}{9X10^{-7}}[/tex]

[tex]=\dfrac{3.51 }{9}X 10^{-3-(-7)}\\=0.39X10^{-3+7}\\=0.39X10^4\\=3900[/tex]