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vitfil [10]
3 years ago
11

A polyhedron has 8 vertices and 14 edges. How many faces must it have?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0
We know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

V - E + F = 2
clear F
F=2-V+E

in this problem
V=8
E=14
F=?
so
F=2-8+14
F=8

the answer is
8 faces
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Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

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⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

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⇒to maximize the yield ,

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total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

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In this equation , the total yield becomes maximum when y=25;

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