Answer:

Step-by-step explanation:
we know that
The area of the shaded sections is equal to the area of the circle minus the area of the triangle
so

where
----> the radius is half the diameter

substitute


WX/RS = (28 ft)/(40 ft) = 7/10
Selection D is appropriate.
value = 18000*(1-0.50)^3 = 2250
value after 3 years = $2250
64 - (3y + 8y + y) / 40 = 37
Simplify 3y + 8y + y
64 - 12y / 40 = 37
Add 12y / 40 to both sides and subtract 37
27 = 12y / 40
Multiply both sides by 40
1080 = 12y
Divide both sides by 12
90 = y
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:
brainly.com/question/13458417
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