Answer:
Part a) The slant height is 
Part b) The lateral area is equal to 
Step-by-step explanation:
we know that
The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces
so
![LA=6[\frac{1}{2}(b)(l)]](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28l%29%5D)
where
b is the length side of the hexagon
l is the slant height of the pyramid
Part a) Find the slant height l
Applying the Pythagoras Theorem

where
h is the height of the pyramid
a is the apothem
we have


substitute



Part b) Find the lateral area
![LA=6[\frac{1}{2}(b)(l)]](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28l%29%5D)
we have


substitute the values
![LA=6[\frac{1}{2}(6)(3\sqrt{2})]=54\sqrt{2}\ units^{2}](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%286%29%283%5Csqrt%7B2%7D%29%5D%3D54%5Csqrt%7B2%7D%5C%20units%5E%7B2%7D)
Answer:
idk
Step-by-step explanation:
Answer:
11 inches
Step-by-step explanation:
The area of a circle can be found using:

We already know that the area is 380, so we can substitute 380 in for a.
380=
Now, we need to find the radius. To do this, we need to get r by itself
First, divide both sides by pi

120.95775675=r^2
Since r is being squared, we need to take the square root of both sides

10.9980796846=r
If we round to nearest whole number, our radius is 11 inches
Use the formula m = y2 - y1 / x2 - x1
-2 - 3 / 7 - 4
-5 / 3
the slope of the line in simplest form is -5/3