Answer:
228 in³
Step-by-step explanation:
<u>Volume of a trapezoidal prism</u>
<u>Finding Base Area (on the side here)</u>
- A = 1/2 x (a + b) x h
- A = 1/2 x (12 + 7) x 6
- A = 3 x 19
- A = 57 in²
<u>Volume</u>
- V = A x h
- V = 57 x 4
- V = 228 in³
72
---- -- 2 = 36 - 2 = 34
2
Answering this question is not within my ability. i apologize for my incompetence and hope you can find it in your heart to forgive me. lmou
Answer:
Option C. 
Step-by-step explanation:
we know that
The area of a regular hexagon can be divided into six equilateral triangles
Applying the law of sines
The area is equal to
![A=6[\frac{1}{2}b^{2} sin(60\°)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7Db%5E%7B2%7D%20sin%2860%5C%C2%B0%29%5D)
where
b is the length side of the regular hexagon
The length side of the regular hexagon is equal to the distance from consecutive vertices A(-4,2) and B (0,5)
the formula to calculate the distance between two points is equal to
substitute the values
Find the area
![A=6[\frac{1}{2}(5)^{2} sin(60\°)]=65.0\ units^{2}](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%285%29%5E%7B2%7D%20sin%2860%5C%C2%B0%29%5D%3D65.0%5C%20units%5E%7B2%7D)