Answer:
- hexahedron: triangle or quadrilateral or pentagon
- icosahedron: quadrilateral or pentagon
Step-by-step explanation:
<u>Hexahedron</u>
A hexahedron has 6 faces. A <em>regular</em> hexahedron is a cube. 3 square faces meet at each vertex.
If the hexahedron is not regular, depending on how those faces are arranged, a slice near a vertex may intersect 3, 4, or 5 faces. The first attachment shows 3- and 4-edges meeting at a vertex. If those two vertices were merged, then there would be 5 edges meeting at the vertex of the resulting pentagonal pyramid.
A slice near a vertex may create a triangle, quadrilateral, or pentagon.
<u>Icosahedron</u>
An icosahedron has 20 faces. The faces of a <em>regular</em> icosahedron are all equilateral triangles. 5 triangles meet at each vertex.
If the icosahedron is not regular, depending on how the faces are arranged, a slice near the vertex may intersect from 3 to 19 faces.
A slice near a vertex may create a polygon of 3 to 19 sides..
Nine is higher than five so it would be 2,640,000
Answer: Choice A
![\frac{\sqrt{6}+\sqrt{2}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B6%7D%2B%5Csqrt%7B2%7D%7D%7B4%7D)
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Work Shown:
![\cos(30) = \frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Ccos%2830%29%20%3D%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
![\cos(\frac{x}{2}) = \sqrt{\frac{1+\cos(x)}{2}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7Bx%7D%7B2%7D%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%2B%5Ccos%28x%29%7D%7B2%7D)
![\cos(\frac{30}{2}) = \sqrt{\frac{1+\cos(30)}{2}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B30%7D%7B2%7D%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%2B%5Ccos%2830%29%7D%7B2%7D)
![\cos(15) = \sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}](https://tex.z-dn.net/?f=%5Ccos%2815%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%2B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%7B2%7D)
![\cos(15) = \sqrt{\frac{\frac{2}{2}+\frac{\sqrt{3}}{2}}{2}](https://tex.z-dn.net/?f=%5Ccos%2815%29%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Cfrac%7B2%7D%7B2%7D%2B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%7B2%7D)
![\cos(15) = \sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}](https://tex.z-dn.net/?f=%5Ccos%2815%29%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B2%7D%7D%7B2%7D)
![\cos(15) = \sqrt{\frac{2+\sqrt{3}}{4}}](https://tex.z-dn.net/?f=%5Ccos%2815%29%20%3D%20%5Csqrt%7B%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B4%7D%7D)
![\cos(15) = \frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}](https://tex.z-dn.net/?f=%5Ccos%2815%29%20%3D%20%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%7D%7D%7B%5Csqrt%7B4%7D%7D)
![\cos(15) = \frac{\sqrt{2+\sqrt{3}}}{2}](https://tex.z-dn.net/?f=%5Ccos%2815%29%20%3D%20%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%7D%7D%7B2%7D)
![\cos(15) = \frac{\sqrt{6}+\sqrt{2}}{4}](https://tex.z-dn.net/?f=%5Ccos%2815%29%20%3D%20%5Cfrac%7B%5Csqrt%7B6%7D%2B%5Csqrt%7B2%7D%7D%7B4%7D)
Answer:
The answer is that the 6 pack of is a way better deal.
Step-by-step explanation:
Answer:
Step-by-step explanation:
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Good evening ,
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2(7) + 5(1) + 3(-3) = 10
3(7) - (1) + 4(-3) = 8
5(7) - 2(1) + 7(-3) = 12
Then (7,1,-3) is a solution to system
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:)