Leo designs, a piece of jewelry in the shape of a regular pentagon, each side of the object measures 3 centimeters Leo, photographed the object in large is it so that the sides each measure 8 cm and prince, the photo what scale factor did Leo used to create the photograph from the original
To find the scale factor, we can use the formula:
Scale factor = (new size) / (original size)
Here, the new size of the sides in the photograph is 8 cm, and the original size of the sides is 3 cm.
Scale factor = 8 cm / 3 cm
Scale factor ≈ 2.6667
Therefore, Leo used a scale factor of approximately 2.6667 to create the photograph from the original jewelry shape.
To find the scale factor, we divide the length of each side in the photograph by the length of the corresponding side in the original object.
Original object: Each side measures 3 cm.
Photograph: Each side measures 8 cm.
Scale factor = Length in photograph / Length in original object
Scale factor = 8 cm / 3 cm
Scale factor = 2.67
Therefore, Leo used a scale factor of 2.67 to create the photograph from the original object.
To find the scale factor used by Leo to create the photograph, we can compare the lengths of corresponding sides in both the original jewel and the photograph.
In the original pentagon, each side measures 3 centimeters. In the photograph, each side measures 8 centimeters. So, we need to find the ratio of the side lengths in the photograph to the side lengths in the original pentagon.
Let's calculate the scale factor:
Scale factor = Length in photograph / Length in original
= 8 cm / 3 cm
≈ 2.6667 (rounded to four decimal places)
Therefore, Leo used a scale factor of approximately 2.6667 to create the photograph from the original pentagon.