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harina [27]
2 years ago
7

The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th

hexagon formed by this pattern is 1, what is the area of the original hexagon?
Mathematics
2 answers:
jarptica [38.1K]2 years ago
7 0

Answer:

  • (4/3)⁹⁸ units²

Step-by-step explanation:

  • <em>Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.</em>

This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.

  • 99 ⇒ 1
  • 98 ⇒ 1*4/3
  • 97 ⇒ 1*(4/3)²
  • ...
  • 1 ⇒ (4/3)⁹⁹⁻¹

<u>The original hexagon has the area of:</u>

  • (4/3)⁹⁸ units²
Ivanshal [37]2 years ago
7 0

Answer:

(4/3)^98units.

Step-by-step explanation:

By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.

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Paha777 [63]

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$6.34

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3 years ago
The volume of the cylinder is 392 cm cubed work out the length
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Well if you are given the radius, you can solve for it. As the volume of a cylinder is area of the base which is a circle times it height.

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2 years ago
You shopped online and found you mp3 player for $9.75 less than the store price p. The online price was $64. Write and solve an
katrin [286]

Answer:

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Step-by-step explanation:

A value that is 9.75 less than p can be represented by the expression ...

  p - 9.75

We are told that value is equal to 64, so the equation is ...

  64 = p - 9.75

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This equation is solved by adding 9.75 to both sides.

  64 +9.75 = p -9.75 +9.75

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The store price is $73.75.

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3 years ago
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Answer:

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Step-by-step explanation:

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zavuch27 [327]
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Read 2 more answers
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