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koban [17]
3 years ago
8

A convex polyhedron has 10 faces and 11 vertices. How many edges does it have?

Mathematics
2 answers:
timofeeve [1]3 years ago
5 0
The <span>polyhedron has 12 faces

</span>
riadik2000 [5.3K]3 years ago
5 0
You literally just plug in your given values into Euler's characteristic and solve.

   V - E + F = 2
11 - E + 10 = 2
     - E + 21 = 2
              21 = 2 + E
              19 + E

Therefore it has 19 edges.
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Answer:

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Step-by-step explanation:

Start with a half a circle. The central angle of a semicircle is 180 deg.

Now subtract 21 deg on each side.

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The central angle is 138 deg.

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Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.

s = \dfrac{n}{360^\circ}2 \pi r

s = \dfrac{138^\circ}{360^\circ}2(3.14159)(7~m)

s = 16.9~m

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PilotLPTM [1.2K]

Answer:

The correct answer would be 7. Explaination below

Step-by-step explanation:

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Step-by-step explanation:

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