Leo designs a piece of jewelry in the shape of a regular pentagon. Each side of the object measures 3 centimeters. Leo photographs the object, enlarges it so that the sides each measure 8 centimeters, and prints the photo. What scale factor did Leo use to create the photograph from the original?(1 point)

Responses

3/8
Start Fraction 3 over 8 End Fraction

2 1/3
2 Start Fraction 1 over 3 End Fraction

11
11

2 2/3

pls help

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the scale factor Leo used to enlarge the jewelry design from the original size to the size of the photograph, you can use the formula for the scale factor:

\[ \text{Scale Factor} = \frac{\text{New Size}}{\text{Original Size}} \]

In this case, the original side length is 3 centimeters, and the new side length is 8 centimeters. Substituting the values:

\[ \text{Scale Factor} = \frac{8 \text{ cm}}{3 \text{ cm}} = \frac{8}{3} \]

To express \(\frac{8}{3}\) as a mixed number, it can be converted:

\[ \frac{8}{3} = 2 \frac{2}{3} \]

Thus, the scale factor used to create the photograph from the original is:

2 2/3 (Response).