Check the picture below.
let's recall that a circle has 360°, so that means every two radii coming from the center of the hexagon, will split those 360° in 6 even pieces, 360/6 = 60, namely those two radii make up a 60° central angle, as you see in the picture.
running a perpendicular from the center, we end up with a 30-60-90 triangle, as you see there, and thus we can use the 30-60-90 rule to get the length of "a".
now, keeping in mind that the perimeter of the polygon is simply 4+4+4+4+4+4 = 24.
![\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}dp~~ \begin{cases} d=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ d=2\sqrt{3}\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(2\sqrt{3})(24)\implies A=24\sqrt{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20regular%20polygon%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Ddp~~%20%5Cbegin%7Bcases%7D%20d%3Dapothem%5C%5C%20p%3Dperimeter%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20d%3D2%5Csqrt%7B3%7D%5C%5C%20p%3D24%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%282%5Csqrt%7B3%7D%29%2824%29%5Cimplies%20A%3D24%5Csqrt%7B3%7D)
Tawny can fill 8 glasses with juice. This is because there are 16 fluid ounces in one pint. 16 x 2.5 is 40 and 40 divided by 5 is 8.
Ok if you multiply 7x11 that’s going to make 77$ and he only has 60$ plus with the candies 4x11=44 77+44=121
Answer:
Top right
Step-by-step explanation:
It crosses the x axis at -6, -2, 1, and 3.