http://www.purplemath.com/modules/specfact.htm
Answer:
I think its Alyssa
Step-by-step explanation:
they both can process 8, but it took Mayakay 3 hours to process 24 and it took Alyssa 5 hours to process 40, so even though Alyssa time is longer she processed more
249 km in 3 hours are 83 km in 1 hours
249 : 3 = 83 Km
A parallelogram is <span>a four-sided plane rectilinear figure with opposite sides parallel.
</span><span>A trapezoid is a quadrilateral with only one pair of parallel sides.</span>
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the lateral area of the pyramid
we know that
The lateral area of the pyramid, is equal to the area of six congruent isosceles triangles
so
![LA=6[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
we have

Applying Pythagorean Theorem calculate the height of triangle


simplify

Find the lateral area
![LA=6[\frac{1}{2}(6)(6\sqrt{2})]\\\\LA=108\sqrt{2}\ in^2](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%286%29%286%5Csqrt%7B2%7D%29%5D%5C%5C%5C%5CLA%3D108%5Csqrt%7B2%7D%5C%20in%5E2)
Part 2) Find the base area
we know that
The area of a regular hexagon is equal to the area of six equilateral triangles
so
Applying the law of sines to calculate the area of triangle
![B=6[\frac{1}{2}b^2sin(60^o)]](https://tex.z-dn.net/?f=B%3D6%5B%5Cfrac%7B1%7D%7B2%7Db%5E2sin%2860%5Eo%29%5D)
we have


substitute
![B=6[\frac{1}{2}6^2(\frac{\sqrt{3}}{2})]](https://tex.z-dn.net/?f=B%3D6%5B%5Cfrac%7B1%7D%7B2%7D6%5E2%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%29%5D)
