I think you mean circumference, which is equal to = 2πr
First you need to multiply 11(8) = 88 then multiply 88(6) = 528 then 528/3 = 176. The answer is 176 inches
Answer:
Option A
Step-by-step explanation:
We have y < 2x - 4 and y > 2x + 1.
=> 2x - 4 > 2x + 1
=> -4 > 1
Since this inequality is false for all real values of x, there is no solution for the system of inequalities.
Answer:
The answer is 13 1/8ft3
Explanation:
Substitute into the formula:
Volume = 3 1/2 x 2 1/2 x 1 1/2
= 7/2 x 5/2 x 3/2
= 105/8
= 13 1/8 ft3
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)