Answer:
The greatest number of flowers that could be in a bouquet is 9 flowers
Step-by-step explanation:
We solve the above question using Greatest Common Factor method. We find the factors of 27, 9 and 18. The greatest factor common to the 3 number is our answer.
The factors of 9 are: 1, 3, 9
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 27 are: 1, 3, 9, 27
Then the greatest common factor is 9.
The greatest number of flowers that could be in a bouquet is 9 flowers
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:
100 ft high
Step-by-step explanation:
We know that Erin, the kite, and her friend create a right triangle since the friend is standing directly under the kite and in front of Erin.
Thus, we can use the Pythagorean theorem to find the height of the kite.
We can let the side the distance be at represents Erin and the kite's distance be EK (aka the hypotenuse), the side that represents Erin and her friend's distance be EF and the side that represents the kite and the friend's distance be KF.
The theorem says that a^2 + b^2 = c^2, where a and b are the two shortest sides and c is the hypotenuse.
We already have the measure of the hypotenuse (260 ft) and one of the shorter sides (240), so we have:
The answer is the last one
