To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 1 2 distance apart.

Question

Want to see the full answer?

Answer 1

Question

Chapter 3, Problem 19E

(a)

To determine

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

(b)

To determine

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

(c)

To determine

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

٣/١ B msl kd 180 Ka, Sin (1) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW Rotor input 5 0.05 : loo kw 6) 1 /0001 ined sove in peaper I need a detailed solution on paper please وه اذا ميريد شرح الكتب فقط ١٥٠ DC 7) rotor a ' (y+xlny + xe*)dx + (xsiny + xlnx + dy = 0. Q1// Find the solution of: ( 357

۳/۱ R₂ = X2 2) slots per pole per phase 3/31 B. 180 msl Kas Sin (I) 1sin() sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30): 0.866 4) Rotating 5) Synchronous speeds 120×50 looo G 1000-950 1000 Copper losses 5kw Rotor input 5 loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط look 7) rotor DC ined sove in peaper I need a detailed solution on paper please 0 64 Find the general solution of the following equations: QI//y(4)-16y= 0. Find the general solution of the following equations: Q2ll yll-4y/ +13y=esinx.

R₂ = X2 2) slots per pole per phase = 3/31 B-180 60 msl kd Kas Sin () 2 I sin (6) sin(30) Sin (30) اذا مريد شرح الكتب بس 0 بالفراغ 3 Cos (30) 0.866 4) Rotating ined sove in peaper 5) Synchronous speed s 120×50 6 s = 1000-950 1000 Copper losses 5kw Rotor input 5 0.05 6) 1 loo kw اذا ميريد شرح الكتب فقط Look 7) rotov DC I need a detailed solution on paper please 0 64 Solve the following equations: 0 Q1// Find the solution of: ( y • with y(0) = 1. dx x²+y²

Answer 2

Question

Chapter 3, Problem 19E

(a)

To determine

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

(b)

To determine

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

(c)

To determine

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 3, Problem 19E

(a)

To determine

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

(b)

To determine

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

(c)

To determine

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 3, Problem 19E

(a)

To determine

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

(b)

To determine

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

(c)

To determine

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 3, Problem 19E

(a)

To determine

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

(b)

To determine

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

(c)

To determine

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Answer 6

Chapter 3, Problem 19E

(a)

To determine

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

Answer 7

Chapter 3, Problem 19E

(a)

To determine

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

Answer 8

(b)

To determine

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

Answer 9

(b)

To determine

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

Answer 10

(c)

To determine

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Answer 11

(c)

To determine

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 3 - Prob. 1E Ch. 3 - Prob. 2E Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 5E Ch. 3 - Prob. 6E Ch. 3 - Prob. 7E Ch. 3 - Use the pigeonhole principle to prove that the...Ch. 3 - Prob. 9E Ch. 3 - A child watches TV at least one hour each day for...

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 1 2 distance apart.

Videos

To prove: Any five points chosen within an equilateral triangle of side length 1, there are two of these five points which is at most 12 distance apart.

To prove: Any ten points chosen within an equilateral triangle of side length 1, there are two of these ten points which is at most 13 distance apart.

To prove: For an integer mn is such that if mn points are chosen within an equilateral triangle of side length 1, there are two of these mn points which is at most 1n distance apart.

Want to see the full answer?

Chapter 3 Solutions