# Math Homework

Jul 12th, 2016
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Math Homework

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PART 1A1) The answer is D i.e. 125,117. Because a= 180- (62+63) and b= 180 -632) The answer is C i.e. 50. Because l= sqrt(40^2+30^2)=503) The answer is D i.e. 2. Because OF=sqrt(OC^2+DC^2).OC=sqrt(OB^2+BC^2);OB=SQRT(OA^2+AB^2)=sqrt(2). So OC=sqrt(2+1)=SQRT(3). AndOF=(3+1)=SQRT(4)=24) B i.e. 8. Because AD=SQRT(AC^2-CD^2). CD^2=BC^2-BD^2=4^2-2^2=16-4=12So AD=SQRT(8.5^2-12) =7.76 ~85) A i.e. sqrt(41).6) B i.e. sqrt(50)7) A i.e. sqrt(1700)8) A) 360/20=18 b) a=b=(180-20)/2=80 c) 80*2=1609) 180(n-2)=1260. So n=910) 180*(n-2)=180*10=1800. An interior angle = 1800/12=150. So x=180-150=30. Y=2*30=601) A)102) C) 1153) B) 12.1 ; 4) B ; 5) D) 33.2PART1B1) C; 2) B; 3) E4) B;5) B;6) a) VB=sqrt(50^2+8^2)=sqrt(2500+64) b) r= 50/2=25; c) 8/5.6=50/r =>r=50*5.6/8=35. So Area=pi*35^2; d) V=0.8*pi*50^2*8/3= pi*(50/k)^2*(8/k)/3=>(1/k^3)=.8. =>k^3=1.25. So h= 8/(1.25)^(1/3)7) 3/1.7= (3.5+x)/x => x=4.6; Now h/1.7=(100+3.5+4.6)/4.6 => h=39.958) a) Area= pi*r*h +pi*r^2+2*10*5+2*5*20+10*20=pi*5*20+pi*5^2+2*10*5+2*5*20+10*20 = 892.7b) Volume=pi*r^2*h/2 + 5*10*20=pi*5^2*20/2+5*10*20 = 1785.41) D) 4: 9;2) B) 9: 43)A) 125;4) C) 24 +2.5pi; 5) A) abh/2PART1C1) B) 8/30; 2) D) 74;3) D) tan^-1(0.75)4)B;5) D) 130; 6) A) -1/47) C; 8) 5*(sin(39)-sin(29)) ; 9) h=BH*tan(85)= AB*tan(30); =>BH*tan(85)=(100+BH)*tan(30)=>BH*(tan(85)- tan(30))=100*tan(30) => BH= 100*tan(30)/ { tan(85)- tan(30)}So h=BH*tan(85)= 100*tan(30)*tan(85)/ { tan(85)- tan(30)}

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