Tess, build the sandbox in the shape of a regular hexagon in which all decides are 40 inches long she then takes a photo of the sandbox and prints. The photo in the photo of the side of the hexagon are 4 inches long, identify the scale factor that was used to create the printed photo of the sandbox express your answer as a decimal
To determine the scale factor, we need to compare the length of a side of the sandbox in real life to the length of the side in the printed photo.
Given that all sides of the sandbox are 40 inches long, and the photo of a side is 4 inches long, we can divide the length of a side in the photo by the actual length of a side:
Scale factor = Length of side in photo / Actual length of side
Scale factor = 4 inches / 40 inches
Simplifying the fraction, we get:
Scale factor = 1/10 = 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 can use the concept of similar triangles. Similar triangles have corresponding angles that are equal and corresponding sides that are proportional.
In this case, we can consider the ratio of the length of a side of the printed photo to the actual sandbox. Let's use "x" as the scale factor.
The length of a side of the hexagon in the printed photo is 4 inches. The length of a side of the actual sandbox is 40 inches.
Using the formula for proportions, we can set up the following equation:
4 / 40 = x / 1
Simplifying the equation, we get:
1 / 10 = x
Therefore, the scale factor used to create the printed photo of the sandbox is 1/10, which as a decimal is 0.1.
To identify the scale factor used to create the printed photo of the sandbox, we can compare the lengths of the sides in the photo and the actual sandbox.
Given:
Side length of the sandbox = 40 inches
Length of the side in the photo = 4 inches
To find the scale factor, we can divide the length of the side in the photo by the length of the actual side:
Scale factor = Length in the photo / Actual length
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 (expressed as a decimal).