Maths-
General
Easy
Question
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,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)
The correct answer is: next will be 24 = 16 sections
We have given the three figures
We will have to analyse all the figures to sketch the fourth figure.
In the first figure there are two sections in which one is shaded
In second figure there are 4 sections in which one is shaded
In third figure there are 8 sections in which one is shaded
From this analysis we can conclude that the proportion of number of sections is
2 : 4 : 8
So it can be seen that it is like 21:22:23
So the next will be 24 = 16 sections
So the fourth figure will be
![](data:image/png;base64,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)
Related Questions to study
Maths-
What is the factored form of
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What is the factored form of
![6 x squared minus 60 x plus 150](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
Maths-General
Maths-
Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Maths-General
Maths-
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,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)
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,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)
Maths-General
Maths-
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
Maths-General
Maths-
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
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In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![x squared minus 20 x plus 100](data:image/png;base64,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)
Maths-General
Maths-
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![A equals x squared minus 4 y squared](data:image/png;base64,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)
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![A equals x squared minus 4 y squared](data:image/png;base64,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)
Maths-General
Maths-
A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?
A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?
Maths-General
Maths-
Write the factored form of the given expression.
![3 x squared plus 30 x plus 75](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x squared plus 30 x plus 75](data:image/png;base64,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)
Maths-General
Maths-
A cone of height 9 Inch has a radius 4 inch , find its volume in cm?
A cone of height 9 Inch has a radius 4 inch , find its volume in cm?
Maths-General
Maths-
The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be (
) of the volume of the given cone, at what height above the base is the section made ?
![](data:image/png;base64,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)
The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be (
) of the volume of the given cone, at what height above the base is the section made ?
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)
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
![A equals x squared plus 32 x plus 256](data:image/png;base64,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)
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
![A equals x squared plus 32 x plus 256](data:image/png;base64,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)
Maths-General