quennmochi quennmochi

01-09-2018
Mathematics

contestada

A n-faced regular polyhedron consists of 2n edges and (2n-4) vertices. Find n .

Respuesta :

WojtekR WojtekR

01-09-2018

We could use Euler's polyhedron formula:

[tex] F=n\qquad\qquad\text{(Faces)}\\\\E=2n\qquad\qquad\text{(Edges)}\\\\V=2n-4\qquad\qquad\text{(Vertices)}\\\\\\V-E+F=2\\\\2n-4-2n+n=2\\\\-4+n=2\qquad|+4\\\\\boxed{n=6} [/tex]

Answer Link

Otras preguntas

In which case did the court ruled that indigent defendants charged with felonies were guaranteed the right to an attorney at trial?

As part of his Fair Deal, what did Truman fight for?

If you were to randomly visit a specific area on earth, what two factors would you need to know to determine the type of biome you will visit?

in which quadrant does the given point lie? (8,-1)

Which aspect of Bantu civilization was most affected by iron technology? A. farming B. trade C. religion D. social hierarchy

Define the following parts of a camera: - aperture - lens - shutter

G identify the solution of the recurrence relation an = 6an − 1 – 8an − 2 for n ≥ 2 together with the initial conditions a0 = 4, a1 = 10.

After the Civil War, Congress reacted to rising violence against African Americans by giving more money to the Freedmen’s Bureau. offering more education to Sou

Help me solve this question please

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!! If f(x) = –x2 + 6x – 1 and g(x) = 3x2 – 4x – 1, find (f + g)(x).