Here are the diameters of four coins: penny (1.9 cm), nickel(2.1cm), dime (1.8cm), quarter (2.4cm). A coin rolled about 33 cm in 5 rotations. Which coin is it? Use 3.14 for pi

Respuesta :

Answer: Nickel

Step-by-step explanation:

Hi, to answer this we have to calculate the circumference of each coin:

C =π diameter.

Penny = 3.14 (1.9)= =5.96 cm

Nickel = 3.14 (2.1) =6.6 cm

Dime = 3.14 (1.8) =5.62 cm

Quarter = 3.14 (2.4) =7.53 cm

Since the coin rolled about 33cm in 5 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.

5x=33

x =33/5 =6.6 cm

The coin is the nickel, because its circumference is equal to 6.6 cm.