The lengths of a triangle's sides are 5, 12, and 13. What is the measure of the angle opposite to side 13?
1 answer:
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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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Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
