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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Answer:
18.87 km/hr
Step-by-step explanation:
First boat is heading North with a speed of 10 km/hr.
Second boat is heading West with a speed of 16 km/hr.
Time for which they move = 2.5 hours
To find:
The speed at which the distance is increasing between the two boats.
Solution:
Let the situation be represented by the attached diagram.
Their initial position is represented by point O from where they move towards point A and point B respectively.
We can use Pythagorean Theorem to find the distance AB.
AB is the hypotenuse of the right angled .
According to Pythagorean theorem:
The speed at which distance is increasing between the two boats is given as:
