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MATH 103 With complete solutions 2024/2025
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MATH 103 With complete solutions 2024/2025
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Solution 2024/2025Pepper
MATH 103
incommensurable numbers ANS✔✔ irrational numbers
quadrature ANS✔✔ construction of a square having area equal to that of the original plane figure
great theorem ANS✔✔ the lune constructed from the side of a square inscribed in a circle is quadrable
what two fundamental concepts of mathematics did early humans have to address with the invention of agriculture?
ANS✔✔ number (multiplicity) and space (spatial relationships)
what two branches of mathematics evolved from the two fundamental concepts? ANS✔✔ algebra and geometry
Pythagorean theorem ANS✔✔ if triangle ABC is a right triangle with legs a & b and hypotenuse c, then a^2+b^2=c^2
converse of the pythagorean theorem ANS✔✔ if in triangle ABC the sides satisfy the relation a^2+b^2=c^2, then triangle
ABC is right
what question did Egyptian and Babylonian civilizations fail to address in their mathematics? ANS✔✔ why?
father of demonstrative mathematics ANS✔✔ Thales of Miletus
list a result Thales is known to have proved ANS✔✔ vertical angles are equal
what two significant mathematical contributions did the pythagoreans give us ANS✔✔ proof of the pythagorean
theorem
discovery of irrationals
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