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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nope
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.
Use the image to answer the question.
An illustration shows two rectangles. The first is horizontally positioned lengthwise and the second is positioned slanting lengthwise to the left. The first rectangle has a base length of 5 inches and vertical width of 3 inches. The tilted second rectangle has a length of 9 inches and a width of 5.4 inches.
What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal.
(1 point)
$$
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Proportions & Scale Factors Practice
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4 of 54 of 5 Items
Question
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 3 inches
Convert this scale drawing of a bureau drawer so that it has a scale of 1 box = 6 inches. The length in the scale drawing shown is 8 boxes. What will be the length in boxes of the new scale drawing?
(1 point)
$$
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Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 15 feet
Convert this scale drawing so that it has a scale of 1 box = 5 feet. The width in the scale drawing shown is 2 boxes. What will be the width in boxes of the new scale drawing?
(1 point)
$$
A board game uses a triangular piece measuring 3 inches on each side. The travel version of the game uses a triangle in a proportional relationship to the original. It measures 0.5 inches on each side. Identify the scale factor used to create the travel version of the piece.(1 point)
Responses
−16
negative Start Fraction 1 over 6 End Fraction
3.5
3.5
6
6
1/6
Use the image to answer the question.
An illustration shows two triangles positioned differently. The first triangle has its longest side along the baseline. The second triangle has its longest side in the upper left, and the triangle is tilted upward to the right. The first triangle has a base of 18 inches and sides as 10 inches and 15 inches. The second triangle shows three sides as 30 inches, 36 inches, and 20 inches.
Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
(1 point)
Responses
2
2
113
1 Start Fraction 1 over 3 End Fraction
12
Start Fraction 1 over 2 End Fraction
123
1 Start Fraction 2 over 3 End Fraction
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which answer
the answers are
1 1/3
2
1/2
1 2/3
Proportions & Scale Factors Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 2 units wide, labeled with 6 and 2 respectively.
Scale: 1 box = 4 centimeters
Reproduce the scale drawing so that it has a scale of 1 box = 2 centimeters. Which shows the correct new scale drawing?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 2 centimeters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 2 centimeters
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 1 unit wide, labeled with 3 and 1 respectively.
Scale: 1 box = 2 centimeters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 1 unit wide, labeled with 3 and 1 respectively. Scale: 1 box = 2 centimeters
A grid is shown with a rectangle drawn on it. The rectangle is 12 units long and 4 units wide, labeled with 12 and 4 respectively.
Scale: 1 box = 2 centimeters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 12 units long and 4 units wide, labeled with 12 and 4 respectively. Scale: 1 box = 2 centimeters
A grid is shown with a rectangle drawn on it. The rectangle is 12 units long and 2 units wide, labeled with 12 and 2 respectively.
Scale: 1 box = 2 centimeters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 12 units long and 2 units wide, labeled with 12 and 2 respectively. Scale: 1 box = 2 centimeters
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To reproduce the scale drawing with a scale of 1 box = 2 centimeters, we need to determine the dimensions of the new rectangle.
Given:
Original rectangle dimensions: 6 units long and 2 units wide
To find the dimensions of the new rectangle, we divide the original dimensions by the scale factor:
Length of the new rectangle = 6 units / 2 = 3 units
Width of the new rectangle = 2 units / 2 = 1 unit
Therefore, the new scale drawing should show a rectangle that is 3 units long and 1 unit wide, labeled with 3 and 1 respectively.
The correct option is:
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 1 unit wide, labeled with 3 and 1 respectively.
Scale: 1 box = 2 centimeters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 1 unit wide, labeled with 3 and 1 respectively. Scale: 1 box = 2 centimeters
Question
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 6 units wide, labeled with 8 and 6 respectively.
Scale: 1 box = 5 feet
Reproduce the scale drawing of Tomas’s front yard so that it has a scale of 1 box = 10 feet. Which shows the new scale drawing?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively. Scale: 1 box = 5 feet
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 5 feet
A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 5 feet
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 5 feet
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To identify the scale factor used to create the travel version of the piece, we need to compare the length of the sides in the original triangular piece to the length of the sides in the travel version.
Given:
Length of the sides of the original triangular piece = 3 inches
Length of the sides in the travel version = 0.5 inches
To find the scale factor, we can divide the length of the sides in the travel version by the length of the sides in the original triangular piece:
Scale factor = Length of the sides in the travel version / Length of the sides of the original triangular piece
Scale factor = 0.5 inches / 3 inches
Simplifying the fraction, we get:
Scale factor = 1/6
Therefore, the scale factor used to create the travel version of the piece is 1/6.
that is not an answer
I apologize for the confusion. Based on the given options, the correct answer is:
Scale factor = 12
Therefore, Randee used a scale factor of 12 to create the copy on the right from the original on the left.
Apologies for the previous incorrect response. Based on the given options, the correct answer is:
Scale factor = 1 2/3
Therefore, Randee used a scale factor of 1 2/3 to create the copy on the right from the original on the left.
To find the scale factor, we need to compare the lengths of the sides of the original triangle to the lengths of the sides of the copied triangle.
Given:
Length of the sides in the original triangle (in inches): 10, 15, 18
Length of the sides in the copied triangle (in centimeters): 30, 36, 20
To find the scale factor, we need to convert the lengths to the same units. Let's convert the centimeter lengths to inches.
Using the conversion factor: 1 inch = 2.54 centimeters
Length of the sides in the copied triangle (in inches):
30 inches / 2.54 = 11.81 inches
36 inches / 2.54 = 14.17 inches
20 inches / 2.54 = 7.87 inches
Now, we can find the scale factor by comparing the lengths:
Scale factor = Length of sides in copied triangle / Length of sides in original triangle
Scale factor = 11.81 inches / 10 inches ≈ 1.18
Scale factor = 14.17 inches / 15 inches ≈ 0.94
Scale factor = 7.87 inches / 18 inches ≈ 0.44
Since we want the scale factor used to create the copied triangle from the original triangle, we can take the average of the scale factors:
Average scale factor = (1.18 + 0.94 + 0.44) / 3 ≈ 0.853
Therefore, the scale factor used to create the copy on the right from the original on the left is approximately 0.853.
I apologize for the confusion. Based on the given options, the correct answer is:
Average scale factor = (1.18 + 0.94 + 0.44) / 3 ≈ 0.853
Therefore, the scale factor used to create the copy on the right from the original on the left is approximately 0.853.
To find the length in boxes of the new scale drawing, we can use the concept of scale factors.
Let's first calculate the scale factor between the original scale of 1 box = 3 inches and the desired scale of 1 box = 6 inches.
Scale factor = (Desired scale length) / (Original scale length) = 6 inches / 3 inches = 2
To convert the length in boxes of the original scale drawing to the new scale, we multiply 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 = 16 boxes
Therefore, the length in boxes of the new scale drawing will be 16 boxes.
To find the width in boxes of the new scale drawing, we can use the concept of scale factors.
Given:
Original scale: 1 box = 15 feet
Desired scale: 1 box = 5 feet
Width in the original scale drawing: 2 boxes
To convert the width in the original scale drawing to the new scale, we need to determine the scale factor between the two scales.
The scale factor is given by:
Scale factor = Desired scale / Original scale = 5 feet / 15 feet = 1/3
Now, we can find the width in boxes of the new scale drawing by multiplying the width in the original scale drawing by the scale factor:
Width in boxes of new scale drawing = Width in original scale drawing * Scale factor
Width in boxes of new scale drawing = 2 boxes * (1/3) = 2/3 boxes
Therefore, the width in boxes of the new scale drawing will be 2/3 boxes.