Explain how circles are related to the Pythagorean Theorem. You may include triangles in your discussion, too. One city is located at (45, -123) and the other is located at (53.65, -6.7). describe how you would compute the distance between the cities, momentarily ignoring the curvature of the Earth (what would you do if you didn't ignore the curvature?).

Q: Find the complement of the set given thatU = {x | x E I and -3 <x 7}. %3D {-3, -1, 3, 6, 7}

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Q: a' Solve for ミ

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Q: Construct the set S+T in the cases shown in Figs. (a) and (b). a Sb Figure (a) b a b Figure (b)

A: a) Given  S=(x,0)|a≤x≤b and T=(0,y)|c≤y≤d. So S+T is given by  S+T=x+y|x∈S and y∈T…

Q: Decide if the statement is true or false. Assume that C#ø, U#Ø, and CCU. UCO

A: The sets C, D are non-empty sets. The set C is a subset of the set U. Therefore the set U contains…

Q: Question 1. If P=(2,0,−3),Q=(3,−2,0), and S=(5,−2,1), find the answer to the following operations a)…

A: Given : P=(2,0,−3),Q=(3,−2,0), and S=(5,−2,1)To find: a) P×Q b) Q×P c) P.Q d) S.(P×Q)

Q: Suppose that two motorboAts leare the same point at the same time. If one travels north at 15 miles…

A: Given: dxdt=20 mi/h, dydt=15 mi/h, t = 2 h

Q: ASTU AGHF. Find ST. 2. G 5

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Q: 18 2y Find ST.

A: Given:

Q: ? 14 yd Y 3 yd

A: See attached file for a step by step explanation.

Q: Let -2 1 -1 A = 1 2 2 2 1 2 Give the 2,1 entry of A -'. a) b) -3 d) f) None of the above. 4,

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Q: evainate. a) sin za

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Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: Indicate whether the two sets are equal. D = {x: x is a natural number less than 3}, E = {1, 2, 3}

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Q: Which of the numbers x, y, z, or w must equal 0 if AUB = U? The number must equal zero if AUB = U.

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Q: Use any method you choose to show that An (B UC) = A U B n C, when A, B, and C are sets.

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Q: Let A, B and C be sets. It is given that AUC= BUC and AnC= BnC. Shơw that A = B.

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Q: A W C р 3 a 6.0 g h f B

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Q: Let (4A)-¹= 2 4 -3 2 Get At.

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Q: ū, v,w E R³ and ū x v = ū x w. Then, v = w.

A: The cross product of two vector does not obey the cancellation law . It is given that u→, v→, w→∈ℝ3…