The combination that denotes the empty set{∅} is motor ∩ bicycle.
<h3>What is a set theory?</h3>
Set theory is the mathematical study of well-defined groups of things called elements of the set.
In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:
- Motor = {8, 24}
- Manual = {24, 32}
- Bicycle = {44}
- The union of motor and manual i.e. Motor ⋃ Manual = {24}
The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:
= motor ∩ bicycle
This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.
Learn more about set theory here:
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We know that the line segment drawn from the center of circle to any chord , bisects the chord
So the other part fo the chord is also 6.5
And the radius is 8
, So we can now apply the pythagorean theorem , in the triangle
So



taking square root on both sides
x = 4.6637
x=4.7
Answer:
no solution
Step-by-step explanation:
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