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
Answer:
The area decreases by 1155.52 square meters
Step-by-step explanation:
a = pi * r ^ 2
d = 2 * r
r = d / 2
r = 96/2
r = 48
a1 = 3.14 * 48 ^ 2
a1 = 7234.56 square meters.
r = 88/2
r = 44
a2 = 3.14 * 44 ^ 2
a2 = 6079.04 square meters.
now we calculate the difference
a1 - a2 = 7234.56 - 6079.04
= 1155.52 square meters
Answer:
G
Step-by-step explanation: The dice will always land on a number between 1 and 6 because as long as it lands on a number this will come true so there is a 100% chance that a number is landed on. G
The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.
<h3>What is meant by height?</h3>
Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.
Given, the relation between the height and the months is:
H(m)=55+m
Now, we have to find the height of the plant after 34 months.
So, we substitute m=34 in the expression to obtain height,
H(m)=55+m
H(34)=55+34
H(34)=89cm
Hence the height will be 89cm
To know more about height, visit:
brainly.com/question/27149153
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Option A is the correct answer
