The Mathematician.

Otago Witness, Issue 1421, 15 February 1879, Page 21

The Mathematician.

NEW PROBLEMS. 36. By John Whitty, Gore :— Give an example, showing how cwts., qrs., and lbs. may be reduced to pounds by simple addition j as for instance, 37cwt 2qrs 121b. 37. By M. J. O'Callaghan, Upper Shotover School : — A rectangular court is to be formed so as to j contain 3600 square yards, and a wall already built, 300 ft long, is available for one of its sides. Find what length of this wall may be utilized, and the diniensions of the other wall so that the least expense may be incurred. 38. By Fitz. Barry, Kuri Bush :— An Oamaru farmer owns 750 head of cattle, which increase at the rate of 26 per cent., and as his farm will only feed the above number, he is forced to sell his surplus stock every year at £3 12/6 per head. What is the value of his annual income ? 39. By Sigma, Shag Valley :— The sine of an angle is J of its cosine, Radius =1. Find sine and cotine. ANSWERS TO PROBLEMS Published January 25. 24. By J. Mitchell, Dunedin :— Ist answer, 143934 inches. 2nd „ 9 rows of 18 each. 3rd „ A rhomboid. 25. By Fitzgerald 8., Kuri Bush :— Value of crop ... £6862 10s. Amount saved ... £ 579 lOg. 26. By John Whitty, Gore :— 11 and 9. 27. By Sigma, Shag Valley :— Liglifc diminishes as the square of the distance from its source, therefore :— 30* 2a2 a = 225 candles. CORREOr ANSWERS M. J. O'Callaghan, Upper Shotover, 27. Malcolm Ross, Tapanui, 25. G. M. W., Kyeburn Diggings, 25. Zelando, Dunedin, 25. No. 26.— M. J. O'Callaghan and Zelando, answer 1 and 3.