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
The scale factor that Leo used to create the photograph from the original is 8/3 or 2 2/3.
Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage, and round your answer to the nearest tenth.(4 points)
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To find Teresa's percent error, we need to calculate the difference between her estimate and the actual value, divide that by the actual value, and then multiply by 100.
The difference between Teresa's estimate and the actual value is 18 - 16 = 2.
Now, we divide that difference by the actual value: 2/16 = 0.125.
Finally, we multiply by 100 to get the percent error: 0.125 * 100 = 12.5%.
Therefore, Teresa's percent error is 12.5%.
To find the scale factor, we need to compare the lengths of the sides in the original pentagon and the printed photo.
The original pentagon has sides measuring 3 centimeters each. The printed photo has sides measuring 8 centimeters each.
To find the scale factor, we divide the length of the sides in the printed photo by the length of the sides in the original pentagon.
Scale factor = (length in printed photo) / (length in original pentagon)
Scale factor = 8 cm / 3 cm
Simplifying the fraction, we get:
Scale factor = 2 2/3
Therefore, Leo used a scale factor of 2 2/3 to create the photograph from the original pentagon.