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3 years ago

Explain why there can't be a simple graph with the following sequence of vertex degrees: (a) 5,1,1,1

Mathematics

1 answer:

Contact [7]3 years ago

7 0

Answer:

a cant exist because 3 out of the 4 vertices must have only one degree vertex and the remaining one must have 5.

b) This example can be a single graph because of the handshaking lemma. The sum of the odd degrees vertex must be an even number: 3+3+5=11

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The temperature decreases by 0.5 degrees every hour.

UNO [17]

i think its the 2nd or 1st one

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3 years ago

1. Every day after work Paul took his muddy boots off on the steps of the front porch. What can

natita [175]

Answer:

Step-by-step explanation:

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Hope this helped! :D

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3 years ago

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torisob [31]

Answer:

Step-by-step explanation:

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7 0

3 years ago

a cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone

ipn [44]

<u>Given</u>:

Given that the radius of the cone is 3 units.

The volume of the cone is 57 cubic units.

We need to determine the height of the cone.

<u>Height of the cone:</u>

The height of the cone can be determined using the formula,

$V=\frac{1}{3} \pi r^2 h$

Substituting the values, r = 3 and V = 57, we get;

$57=\frac{1}{3} (3.14) (3)^2 h$

Simplifying the terms, we get;

$57=\frac{1}{3} (3.14) (9) h$

Multiplying both sides of the equation by 3, we get;

$171= (3.14) (9) h$

$171=28.26 h$

Dividing both sides of the equation by 28.26, we get;

$6.05=h$

Thus, the height of the cone is 6.05 units.

8 0

3 years ago

How do u solve the following equation: |r|=1

vredina [299]

You're almost looking at the solution. Almost.

If it only said " r = 1 ", then that would be the solution right there.

But it says " | r | = 1 ", so there's a little more to it.

'r' can be either +1 or -1 and that equation will be a true statement.

So +1 and -1 are both solutions.

7 0

4 years ago