So hmm notice the picture below
the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges
now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
![\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}\cdot n\cdot s^2\cdot cot\left( \frac{180}{n} \right)\qquad \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\ \frac{180}{n}=\textit{angle in degrees}\\ ----------\\ n=6\\ s=4 \end{cases}\\\\\\ A=\cfrac{1}{4}\cdot 6\cdot 4^2\cdot cot\left( \frac{180}{6} \right)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20regular%20polygon%7D%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B1%7D%7B4%7D%5Ccdot%20%20n%5Ccdot%20%20s%5E2%5Ccdot%20%20cot%5Cleft%28%20%5Cfrac%7B180%7D%7Bn%7D%20%5Cright%29%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0An%3D%5Ctextit%7Bnumber%20of%20sides%7D%5C%5C%0As%3D%5Ctextit%7Blength%20of%20a%20side%7D%5C%5C%0A%5Cfrac%7B180%7D%7Bn%7D%3D%5Ctextit%7Bangle%20in%20degrees%7D%5C%5C%0A----------%5C%5C%0An%3D6%5C%5C%0As%3D4%0A%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B4%7D%5Ccdot%20%206%5Ccdot%20%204%5E2%5Ccdot%20%20cot%5Cleft%28%20%5Cfrac%7B180%7D%7B6%7D%20%5Cright%29)
now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both
Answer:
18
Step-by-step explanation:
3/5 x 30
(3 times 30)divided by 5
= 18 children are going.
Hope this helps:-)
Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x over the integers:
8 abs(x + 2) - 6 = 5 abs(x + 2) + 3
Subtract 5 abs(x + 2) - 6 from both sides:
3 abs(x + 2) = 9
Divide both sides by 3:
abs(x + 2) = 3
Split the equation into two possible cases:
x + 2 = 3 or x + 2 = -3
Subtract 2 from both sides:
x = 1 or x + 2 = -3
Subtract 2 from both sides:
Answer: x = 1 or x = -5
If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.
Answer:
95% of 40 is 38. 2 questions are wrong.
Step-by-step explanation: