Answer:
4 2/3 yds
Step-by-step explanation:
1/3 yds in a foot
1/3 x 14 = 4 2/3
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
<span>I believe in this item, we are asked to determine how many 5's should be added together in order to form 100. This is calculated by dividing 100 by 5. The answer by completing the operation would be equal to 20. Hence, the answer is 20. </span>
Answer:
r = 31.2
Step-by-step explanation:
Δ ACE and Δ BCD are similar, thus the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
40r = 1248 ( divide both sides by 40 )
r = 31.2
Answer: OPTION C
Step-by-step explanation:
2. The parent function of a linear function is the simplest form of a linear function and this is:
f(x)=x. Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2
3. If you take the parent function and make f(x)-1, then you have:
f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).
4. Then you make -2f(x), as following:
y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).
5. That is how you obtain the final function.
