Answer:
x=9
Step-by-step explanation:
8x-14=2(2x+11)
8x-14=4x+22
4x=36
x=9
Answer:
c
Step-by-step explanation:
Answer: 0.567
Step-by-step explanation:
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 second table.
Step-by-step explanation:
In the first table, the speed goes from 45 down to 43; then down to 41; then up to 42; then up to 43. It decreases and then increases. This is not the correct table.
In the second table, the speed goes from 45 up to 47; then up to 49; then down to 48; then down to 47. It increases and then decreases; this is the correct table.
To verify, we check the last two tables. The third table stays at 45, then decreases to 43 and 41. This is not correct.
The last table decreases from 45 to 43, then decreases to 41, then stays constant. This is not correct.
The second table is the only correct one.
