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patriot [66]
3 years ago
7

PLEASE HELP YOU GET 59 POINTS!! A Pentadecagon is a polygon with 15 sides. Imagine that you have a pentadecagonal prism; how man

y faces does your prism have? How many edges does your prism have? Give your answer, but also explain how you came up with your answer.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0
Well here, this is easy so i hope i help. You said this shape has 15 sides great. seeing that a prism is a 3D figure its gonna expand right?  There's 15 sides . but don't forget about the sides faces of the prisms. There's 2 . Meaning all you have to do is count the sides and faces of the prism. Getting 17. Hope this helps.

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Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

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3 years ago
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