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Vilka [71]
2 years ago
5

What is the area of a regular hexagon (6 sides) whose

Mathematics
1 answer:
Ganezh [65]2 years ago
8 0

Step-by-step explanation:

With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.

The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:

tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem

As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:

Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2

=> Shexagon=6×62√3=216

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tangare [24]
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3 years ago
ANSWER PLEASE! SHOW WORK
irga5000 [103]

Answer:

Use compatible numbers that are close to the actual numbers

Choose 36 for 35 3/4 and 6 for 5 7/8 because the divide evenly.

Step-by-step explanation:

Compatible numbers are numbers that are close to the actual values of a particular number. They make estimating easier when yo udo the different operations.

We choose 36 for 35 3/4 because 36 is closer to its value that 34. Conveniently, 5 7/8 is closer to 6 than 5, and they divide evenly. So a best estimate for the number of rows Holly can make would be:

36/6 = 6 rows.

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Step-by-step explanation:

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8 0
2 years ago
What is the LCM of 4 and 14
horsena [70]

Answer:

28

Step-by-step explanation:

4x7=28

14x2=28

7 0
2 years ago
Read 2 more answers
A right triangle has a leg b of length 7 and a hypotenuse of length 11 what is the length of the other leg a?
N76 [4]
A^2 + b^2 = c^2
a^2 + 7^2 = 11^2
49= 121
121 - 49 = 72

Square root(72) = 8.49
or you can just keep the square root symbol with 72 under it
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3 years ago
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