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geniusboy [140]
4 years ago
9

Use Euler's formula to find the missing number.

Mathematics
2 answers:
Mrac [35]4 years ago
4 0

Euler's Formula states that:

V-E+F=2

where V is the number of Vertices, E is the number of Edges and F is the number of Faces. We have also been given that the number of vertices is 15 and the number of Edges is 24 . We have been asked to find the number of Faces, F.

The Euler's formula can be rearranged to to isolate F as:

F=2-V+E

Substituting the values we get:

F=2-15+24=11

Thus, option C is the correct option.

frez [133]4 years ago
3 0
Vertices: 15
Edges:24
Faces:?
Their are 12 faces

The Answer is D
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Step-by-step explanation:

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Find the sum of 46 + 42 + 38 + ... + (-446) + (-450)46+42+38+...+(−446)+(−450)
JulijaS [17]

sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

<u>Step-by-step explanation:</u>

We need to find sum of sequence  : 46 + 42 + 38 + ... + (-446) + (-450)

Given sequence is an AP with following parameters as :

a=46\\d=42-46=-4

So , Let's calculate how many terms are there as :

⇒ a_n=a +(n-1)d

⇒ -450=46 +(n-1)(-4)

⇒ -496=(n-1)(-4)

⇒ \frac{-496}{-4}=n-1

⇒ 124=n-1

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Sum of an AP is :

⇒ S_n = \frac{n}{2}(2a+(n-1)d)

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⇒ S_1_2_5 =-25,250

Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

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Read 2 more answers
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