Use Euler’s Formula to find the missing number. Edges: 43 Faces: 25 Vertices: ?
2 answers:
Answer:
Vertices = 20
Step-by-step explanation:
Using the Euler's formula:
V - E + F = 2 ....[1]
where,
E is the number of Edges
V is the number of Vertices
F is the number of Faces.
As per the statement:
Edges: 43
Faces: 25
⇒E = 43 and F = 25
Substitute in [1] we have;
⇒
Add 18 to both sides we have;
V = 20
Therefore, the number of vertices is, 20
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Use a proportion to find how many seconds are needed to fold 5 shirts.
We are given that he takes 28 seconds to fold 2 shirts:
28 sec : 2 shirts
We are not given the amount of time needed for 5 shirts, which we need to solve:
x seconds : 5 shirts
Express in a fraction:
Cross multiply and simplify:
Therefore, he needs 70 seconds to fold 5 shirts.