Answer:
Step-by-step explanation:
Show that x+x=1
6. X= -32 and 32
7. Y= -3
im not sure on the other questions and i LOVE doing math and im a sophmore in highschool so at least i could help get a couple of them
Answer: x < 1
Step-by-step explanation:
Step 1: Add 4 to both sides.
-11x - 4 + 4 > -15 + 4
-11x > - 11
Step 2: Divide both sides by -11.
-11x/11 > -11/-11
x < 1
The wheel has 16 spokes.
There will be 16 spaces between the spokes.
See attachment. There are 8 spokes and 8 spaces between them.
Similarly, in the other, there are 16 spokes and 16 spaces.
you can see that the number of spaces between the spokes is equal to the number of spaces.
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)
