Everything Maths Grade 11

CHAPTER 17. TRIGONOMETRY 17.5 Therefore the area of�ABC is: 1 2 c. h = 1 2 c. b. sinAˆ = 1 2 c. a. sinBˆ Similarly, by drawing t ...

17.5 CHAPTER 17. TRIGONOMETRY A� �B � C 127 ◦ 255 ◦ SOLUTION We can see that the two lighthouses and the boat form a triangle. S ...

CHAPTER 17. TRIGONOMETRY 17.5 Exercise 17 - 11 Show that sinAˆ a = sinBˆ b = sinCˆ c is equivalent to: a sinAˆ = b sinBˆ = c s ...

17.5 CHAPTER 17. TRIGONOMETRY � D � A � B � C h b a c d c− d In�DCB: a^2 = (c− d)^2 + h^2 (17.6) from the theorem of Pythagoras. ...

CHAPTER 17. TRIGONOMETRY 17.5 SOLUTION Applying the cosine rule: a^2 = b^2 + c^2 − 2 bccosAˆ ∴ cosAˆ = b^2 + c^2 − a^2 2 bc = 82 ...

17.5 CHAPTER 17. TRIGONOMETRY The Area Rule EMBDP DEFINITION: The Area Rule The area rule applies toany triangle and states that ...

CHAPTER 17. TRIGONOMETRY 17.5 Example 16: The Area Rule QUESTION Find the area of�ABC: A 7 B C 50 ◦ SOLUTION �ABC is isosceles, ...

17.5 CHAPTER 17. TRIGONOMETRY More practice video solutions or help at http://www.everythingmaths.co.za (1.) 0153 (2.) 0154 (3.) ...

CHAPTER 17. TRIGONOMETRY 17.5 W XY Z is a trapezium (W X� XZ) with W X = 3 m; Y Z = 1,5 m;Zˆ = 120◦andWˆ = 30◦. Determine the ...

Statistics 18 18.1 Introduction EMBDR This chapter gives youan opportunity to buildon what you have learned in previous grades a ...

CHAPTER 18. STATISTICS 18.2 0 5 10 15 20 25 30 35 40 45 50 55 60 Heads Tails Frequency (%) Face of Coin Tails-Mean Heads-Mean Fi ...

18.2 CHAPTER 18. STATISTICS Properties of Variance The variance is never negative because the squares are always positiveor zero ...

CHAPTER 18. STATISTICS 18.2 Note: To get the deviations, subtract each number from the mean. X Deviation (X−X ̄) Deviation squar ...

18.2 CHAPTER 18. STATISTICS Example 1: Variance and StandardDeviation QUESTION What is the variance and standard deviation ofthe ...

CHAPTER 18. STATISTICS 18.2 Interpretation and Application EMBDV A large standard deviation indicates that the data values are f ...

18.3 CHAPTER 18. STATISTICS Consider a set of data that gives the results of 20 pupils in a class. (a) When is the data seen a ...

CHAPTER 18. STATISTICS 18.3 minimum data value maximum data value first quartile third quartile median Data Values -4 -2 0 2 4 F ...

18.3 CHAPTER 18. STATISTICS See video: VMfzi at http://www.everythingmaths.co.za Exercise 18 - 2 Lisa works as a telesales pers ...

CHAPTER 18. STATISTICS 18.3 equal to the total number of data values, sinceall frequencies will already have been added tothe pr ...

18.4 CHAPTER 18. STATISTICS (a) Decide on an interval width and state whatyou observe about yourchoice. (b) Give your lowest int ...