Kelvin claims that a pol yhedron can have 30 edges , 18 faces and 12 vertices . Do you agree with him ? Explain your answer .

1 answer:

5 0

Number of faces + (Number of vertices - Number of edges) = 2
So plugging in the numbers it would then be
18+(12-30)=2
18-18=2
0=2
Kelvin would be wrong and I disagree with him. (Because ...*plugin work cited above*)

You might be interested in

Identify the cross section of the solid shown in the diagram

Ivahew [28]

Given:

Image of the pyramid

To identify:

The cross section of the solid.

Solution:

The given image is a pyramid.

The base of the pyramid have 5 edges.

So, it is a pentagonal pyramid.

In the cross section also have 5 edges.

Therefore the cross section of the solid shown in the diagram is pentagon.

6 0

3 years ago

at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

#SPJ9

6 0

2 years ago

Read 2 more answers

Lisa walked 8 km more than Tim. Lisa walked twice as far as Tim. How far did each walk?

valentinak56 [21]

$x-\ Tim's\ distance\\\\
x+8-\ Lisa's\ distance\\\\
2x=x+8\ \ |Subtract\ x\\
2x-x=8\\
x=8\ \ -Tim\\
x+8=8+8=16- \ Lisa\\\\Lisa\ walked\ 16\ km\ and\ Tim\ 8km.
$