home
Guest
Signup/Login
to unlock all features
[quote uid=merrylarry pid=1115] 1a) x:y:z*6:5:8 M=x/6=y/5=5/8 x:y:z*6m:5m:8m 1.8x=6m y=3m z=8m 12x-48/4y +2=12(6m)-8(8m)/4(5m)+8m =72m-72m/20m+8m =0m/28m =0 1b) un=ar^1 us=ar46 2/81=2r^4 81?2r^4/81?2=2/81?2 r^4=1/81 r=4rot1/81, r=1/3. ii)sum=a(1-r^n)/1-r =2(1-(1/3)5)/1-1/3 =2(1-1/243)/2/3 =(242/243)/2/3 484/243-2/3 484/243?3/2 =242/81 ============================= 2a) number of sides=12 radius of circle=10cm area=? n 2=360 ש 12?2=360 ?2= 360/12 =30? ?1+?2= 180-30 1=150? When ?1 and ?2 are interior and exterior angle of a polygon A sector has are. Area of sector=?/360?rot8^2 =150/360?22/7?100/1 A=130-95cm^2 2b) 1/2(2x+1)-2/5(x-2)=3 2x+1/3-2x-4/3=3 10x+5-6x+12/15=3/1 Cross multiple 4x+17=45 4x/4=28/4 x=7. ============================= 3) Apply 5m rule to find C P t/sin T = P/sin P t/sin 110 = 6/sin 40 t=6 * 0.9396/0.6428 =56376/6.6428 =87704 =877km ============================= 4) Total Fruit = 80 + 60 = 140 (a) (i) Pr one of each fruit is picked (79/140 *60/139) + ( 59/140 * 80/139) =4740/19,460 + 4720/19,460 =9460/19,460 = 0.486 4aii) Pr one type of fruit is picked (79/140 * 78/139) + (39/140 * 5p/139) =6162/19,460 + 3422/19,460 = 9584/19,460 = 0.492 4b) 5X/8 – 1/6 ≤ X/3 + 7/24 Multiply through by 24 i:e 15X – 4≤ 8X + 7 15X – 8X ≤ 7 + 4 7X = 11 X ≤ 11/7 ===> X ≤ 1 4/9 ============================= 5a) 3/X + 2 – 6/3X – 1 3(3X – 1) – 6 (X + 2)/ (X + 2) ( 3X – 1) 9X – 3 – 6X – 12/(X + 2)(3X – 1) 3X – 15/(X+2)(3X – 1) 5b) C.I=P[1+r/100]^ =25000[1+12/100]^3 =25000[1+0.12]^3 =25000 * 1.4049 =35122.50 =N35,122.50 =========================== 6a) X+-3/2 X=2/3 or X=2 (X + 3/2)^2 or (X -2) (X + 3/2) (X – 2) X (X – 2) + 3/2 (X – 2) X^2 – 2X + 3 X/2 – 3 2X^2 – 4X + 3X – 6 2X^2 – X – 6 6b) h/h+8 = 6/10 10h = 6h + 48 h = 12 H = h + 8 H = 12 + 8 H = 20 Volume = 1/3 A.h = 1/3 (10*10) * 20 – 432/3 = 200/3 – 432/3 =1568/3 =522.67cm3 ============================= 7a)titan/360?2pie r cos t d=55 [/quote]