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If the areas of two similar hexagons are to each other as 5:2 and one side of the first hexagon is 25 what is the corresponding side in the other hexagon?
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∙ 14y ago
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∙ 14y ago
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The ratio of the lengths of corresponding parts in two similar solids is 41. What is the ratio of their surface areas?
16:1
Is the ratio of the surface areas of two similar polyhedra equal to the cube of the ratio between their corresponding edge lengths?
false
The ratio of the corresponding edge lengths of two similar solids is 3 6 What is the ratio of their surface areas?
9 36
The ratio of the corresponding edge lengths of two similar solids is 2 5 What is the ratio of their surface areas?
4:25
The ratio of the lengths of corresponding parts in two similar solids is 2 to 1 what is the ratio of their surface areas?
4:1
If the areas of two similar hexagons are to each other as 5 to 2 and one side of the first hexagon is 25 what is the corresponding side in the other hexagon?
Area of first hexagon is (3/2) x sqrt(3) x s2 = 1623.75Area of second hexagon = 2/5 (1623.75) = 649.5Its side is about 15.81 units.
Three congruent regular hexagons can be drawn in such a way that all of them overlap each other and create exactly ten distinct areas or compartments?
First, a hexagon has 6 sides. Second, congruent means the polygons are the same size and shape. Third, regular hexagon means that all of the angles and the same and the lengths of the sides are the same. For my explanation, let's work with squares. If you were to overlap two perfect squares, you would get at 1 area. Rotate one of those squares, and you will get 8 areas, 4 on the inside and 4 on the outside. Since there is also a center area, we have 9 areas. Working with two hexagons would give you 1 or 13 areas. Obviously, adding a third square or hexagon will not achieve 10 areas, so you can stop here. ------ If you overlap 3 hexagons you get 3 sections that are unique to each hexagon 1 section in the middle that is part of each hexagon 3 sections that are shared between only 2 hexagons Those 7 are straightforward - I drew 3 hexagons in powerpoint to visualize it The last 3 are a matter of interpretation, but they are there. it depends on what is meant by "distinct." There are an additional 3 sections that are made up of the outlines of the 3 sections that shared between only two hexagons plus the section in the middle. That gets you to 10. My 2 cents is that this is a poorly worded question because the answer could be 7 or 10 depending on the interpretation of distinct.
What is the area of the larger hexagon of two similar hexagons which have sides in the ratio 3 to 5 and the area of the smaller is 81 sq m?
ratio of areas = (ratio of sides)² ratio of sides = 3 : 5 → ratio of areas = 3³ : 5² = 9 : 25 → area larger = 81 m² ÷ 9 × 25 = 225 m²
The ratio of the surface areas of two similar solids is 49100. What is the ratio of their corresponding side lengths?
7:10
The ratio of the lengths of corresponding parts in two similar solids is 41. What is the ratio of their surface areas?
16:1
Two triangle are similar and the ratio of the corresponding sides is 4 3 What is the ratio of their areas?
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
The ratio of the surface areas of two similar solids is 49 100 What is the ratio of their corresponding side lengths?
7:10
The ratio of the corresponding edge lengths of two similar solids is 4 5 What is the ratio of their surface areas?
16:25
The ratio of surface areas of two similar polyhedra is equal to the cube of the ratio between their corresponding edge lengths?
False
The ratio of the lengths of corresponding parts in two similar solids is 4 1 What is the ratio of their surface areas?
16:1
The ratio of the surface areas of two similar solids is 25 121 What is the ratio of their corresponding side lengths?
5:11
Is the ratio of the surface areas of two similar polyhedra equal to the cube of the ratio between their corresponding edge lengths?
false
