Tess builds a sandbox in the shape of a regular hexagon in which all the sides are 40 inches long. She then takes a photo of the sandbox and prints the photo. In the photo, the sides of the hexagon are each 4 inches long. Identify the scale factor that was used to create the printed photo of the sandbox. Express your answer as a decimal.(1 point)
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To find the scale factor, we need to compare the length of one side of the real sandbox to the length of one side in the printed photo.
The length of one side of the real sandbox is 40 inches.
The length of one side in the printed photo is 4 inches.
Therefore, the scale factor is 4/40 = 0.1.
Thus, the scale factor used to create the printed photo of the sandbox is 0.1.
To find the scale factor, we need to compare the dimensions of the enlarged rectangle to the dimensions of the original rectangle.
Given:
Dimensions of the original rectangle = 5 inches by 3 inches
Dimensions of the enlarged rectangle = 9 inches by 5.4 inches
To find the scale factor, we can divide the corresponding dimensions of the enlarged rectangle by the corresponding dimensions of the original rectangle:
Scale factor = (Length of enlarged rectangle / Length of original rectangle) = 9 inches / 5 inches
Scale factor = (Width of enlarged rectangle / Width of original rectangle) = 5.4 inches / 3 inches
Simplifying the fractions, we get:
Scale factor = 1.8
Scale factor = 1.8
Therefore, the scale factor used to enlarge the rectangle in the image is 1.8.
I apologize for the mistake. Let's correct the answer.
If the original scale is 1 box = 3 inches and the desired scale is 1 box = 6 inches, the scale factor between the two scales is 6 inches / 3 inches = 2.
To convert the length in boxes of the original scale drawing to the new scale, we divide the length in boxes by the scale factor:
Length in boxes of new scale drawing = Length in boxes of original scale drawing / Scale factor
Length in boxes of new scale drawing = 8 boxes / 2 = 4 boxes
Therefore, the length in boxes of the new scale drawing will be 4 boxes.
I apologize for the mistake. Let's correct the answer.
If the original scale is 1 box = 15 feet and the desired scale is 1 box = 5 feet, the scale factor between the two scales is 5 feet / 15 feet = 1/3.
To convert the width in boxes of the original scale drawing to the new scale, we divide the width in boxes by the scale factor:
Width in boxes of new scale drawing = Width in boxes of original scale drawing / Scale factor
Width in boxes of new scale drawing = 2 boxes / (1/3) = 2 boxes * 3 = 6 boxes
Therefore, the width in boxes of the new scale drawing will be 6 boxes.
To find the scale factor, we need to compare the lengths of the sides of the actual hexagon and the lengths of the sides in the printed photo.
Given:
Length of the sides of the actual hexagon = 40 inches
Length of the sides in the printed photo = 4 inches
To find the scale factor, we divide the length of the sides in the printed photo by the length of the sides of the actual hexagon:
Scale factor = Length of the sides in the printed photo ÷ Length of the sides of the actual hexagon
Scale factor = 4 inches ÷ 40 inches
Simplifying the expression:
Scale factor = 0.1
Therefore, the scale factor used to create the printed photo of the sandbox is 0.1.
To identify the scale factor used to create the printed photo of the sandbox, we need to compare the length of the sides in the original sandbox to the length of the sides in the printed photo.
In the original sandbox, the sides are all 40 inches long.
In the printed photo, the sides are each 4 inches long.
To find the scale factor, we can divide the length of the sides in the printed photo by the length of the sides in the original sandbox.
Scale factor = Length of sides in printed photo / Length of sides in original sandbox
Scale factor = 4 inches / 40 inches
Simplifying the fraction, we get:
Scale factor = 1/10
So, the scale factor used to create the printed photo of the sandbox is 0.1 as a decimal.
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Bobby draws an artwork measuring 2.25 inches by 2 inches. He makes a copy of the artwork, enlarging it so that its dimensions are now 3.15 inches by 2.8 inches. What scale factor did he use to create the copy of the original artwork? Write your answer as a decimal.(1 point)
To find the scale factor, we need to compare the dimensions of the enlarged artwork to the dimensions of the original artwork.
Given:
Dimensions of the original artwork = 2.25 inches by 2 inches
Dimensions of the enlarged artwork = 3.15 inches by 2.8 inches
To find the scale factor, we can divide the corresponding dimensions of the enlarged artwork by the corresponding dimensions of the original artwork:
Scale factor = (Length of enlarged artwork / Length of original artwork) = 3.15 inches / 2.25 inches
Scale factor = (Width of enlarged artwork / Width of original artwork) = 2.8 inches / 2 inches
Simplifying the fractions, we get:
Scale factor = 1.4
Scale factor = 1.4
Therefore, the scale factor used to create the copy of the original artwork is 1.4.