How Well Do You Know Ratio Application?

Explanation
A ratio in mathematics represents the relationship between two numbers. It compares the quantity or size of one number to another. Ratios are expressed in the form of a fraction or a division statement. Therefore, the correct answer is "Two" because a ratio involves comparing two numbers.

Explanation
Ratio Application is a sub-topic under the subject of Ratio. In mathematics, ratio is a comparison of two or more quantities. Ratio Application focuses on the practical use of ratios in real-life situations, such as solving problems involving proportions, rates, and scaling. It involves applying the concept of ratio to solve various mathematical problems and analyze relationships between different quantities.

Explanation
Ratio is a topic under Mathematics. It is a mathematical concept that represents the relationship between two or more quantities. It is used to compare the sizes of different quantities and is commonly expressed as a fraction or a colon. Ratios are used in various mathematical applications such as proportions, rates, and percentages. Understanding ratios is essential in mathematical problem-solving and data analysis.

Explanation
Wole Soyinka is not a scientist because he is a Nigerian playwright, poet, and essayist, and not known for any scientific contributions or research. On the other hand, Albert Einstein, Isaac Newton, and Bill Nye are all well-known scientists who have made significant contributions to their respective fields of physics and science communication.

Explanation
The word "ratio" originated from the Greek language. The term "ratio" in Greek means "reason" or "proportion." The Greeks were known for their mathematical and philosophical contributions, and they developed the concept of ratio as a way to express the relationship between two quantities. This term has been adopted and used in various fields, including mathematics, economics, and science, to describe the comparison or proportion between different values.

Explanation
The Pythagoreans developed a theory of ratio and proportion as applied to numbers. This ancient Greek philosophical and mathematical school, founded by Pythagoras, believed that numbers were the foundation of everything in the universe. They studied the relationships between numbers and discovered the principles of ratios and proportions. Their work laid the foundation for modern mathematics and influenced the development of Euclidean geometry. Euclid, although a renowned mathematician, did not specifically develop a theory of ratio and proportion as applied to numbers. Bertolt Brecht and Newton were not known for their contributions to this field.

Explanation
The Pythagoreans are likely responsible for the discovery of a theory of ratios that does not assume commensurability. This is because the Pythagoreans were known for their mathematical investigations and discoveries, particularly in the field of geometry. They were interested in the relationships between numbers and ratios, and their work laid the foundation for many mathematical concepts that are still used today. Therefore, it is reasonable to attribute the discovery of a theory of ratios without assuming commensurability to the Pythagoreans.

Explanation
Euclid's Elements is a mathematical treatise that consists of 13 books. Each book contains various propositions, definitions, and proofs. The correct answer, 18, suggests that one of Euclid's Element books contains 18 definitions. This implies that Euclid provided a comprehensive and detailed set of definitions to establish the foundation of geometry and mathematics.

Explanation
Euclid's Elements is a mathematical treatise consisting of 13 books. Each book covers a different area of mathematics. The question asks which book of Euclid's Elements contains 18 definitions. The correct answer is Book V. Book V of Euclid's Elements focuses on the properties and relationships of ratios and proportions. It contains 18 definitions related to these concepts.