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Homework Correction Take out your workbook!
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Workbook p.217 Activity 4 2 4 4=22
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Workbook p.218 #6 Ratio of heights: 1.5 Ratio of perimeters: 1.5
Ratio of Areas: 2.25 Ratio of heights: 1.67 Ratio of perimeters: 1.67 Ratio of Areas: 2.78
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Workbook p.218 #7 #8 k= 3 0.8 Perimeter of initial: 10cm
# #8 k= Perimeter of initial: 10cm Perimeter of image: 30cm #9 Area of initial: 5.1cm2 k2=2.25 so k=1.5 Area of image: 45.9cm2 Per. of small:20cm Per. of large:30cm #10 Big area: 600 cost per m2: 12$ Small rectangle’s dimensions: 15 by 10 small area: 150 Cost of small: 150x12=1800
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Ratio of Volumes
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How to find the Volume of the image
Scale Factor: k3 Volume of the initial x k3 = volume of the image
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Example 1 Find the volume of the image. Step 1 – Find k k = 6 = 2 3
V=???cm3 Initial V=60cm3 3 4 6 5 Step 1 – Find k k = 6 = 2 3 Step 2 – Find the volume of the initial v=5x4x3 = 60cm3 Step 3 – Find the volume of the image 60x23 = 480cm3
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Example 2 Find the radius of the image. Step 1 – Find k3
V= V= Step 1 – Find k3 k3 = = 3.24 Step 2 – Find k k=³√ = Step 3 – Find the radius of the image 12.5 x = 18.47
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Things to Remember about Similarity
k is the ratio of sides(and perimeter) k2 is the ratio of area k3 is the ratio of volume
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To get from one ratio to another
Ratio of volume to ratio of sides k3 to k ³√ k3 = k Ratio of volume to ratio of areas k3 to k2 ³√ k3 = k then square it to get k2 Ratio of areas to ratio of volumes k2 to k3 √ k2 = k then cube it to get k3
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Homework - START NOW Workbook p # 5 to 9 p all
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