данo:
<A=35°
<C=70°
AC=27cm
Рассчитываем <B:
<B=180°-(<A+<C)=180°-(35°+70°)=180°-105°=75°
<B=75°
Sin75°=0,9659
Sin70°=0,9397
Sin35°=0,5736
пользуемся формулой синусов:
*AC/sinB=CB/sina=AB=sinC
AC/sin75°=CB/sin 35° to:
27/sin75°=CB/sin35° // *sin35°
CB=27*sin35° /sin75°
CB=27*0,5736 /0,9659=15,4872 / 0,9659=16,0339
CB=16,0330cm
AC/sin75°=AB/sin70° to:
27/sin75°=AB/sin70° // *sin70°
AB=27*sin70°/sin75°
AB=27*0,9397 /0,9659 =25,3719 / 0,9659=26,2676
AB=26,2676cm
St =1/2*AC*AB*sina
St= ½*27*26,2676*0,5736=203,4058cm2
а=1 , b=6 , с=5
D= b²-4ac
D= 36 -4*1*5 =36-20= 16
D>0 два корня уравнения , √D= 4
х₁, х₂ = (-b +- √D) /2a
x₁= (-6-4)/2 =-10/2=-5
x₂= (-6+4)/2 = -2/2=-1
x² -1.8x -3.6 =0
D= (-1.8)² - 4* 1* (-3.6) = 3.24 +14.4 = 17.64
D>0 , √D= 4.2
х₁= (1,8 - 4,2 ) / 2 = 2,4/2=1,2
х₂= (1,8+4,2)/2 = 3
4х²-х-14=0
D= (-1)² -4 *4 *(-14)=1+ 224=225
D>0 , √D= 15
x₁= (1-15)/(2*4)= 14/8= 1.75
x₂= (1+15)/8= 16/8=2
2x²+x-3=0
D= 1 -4*2*(-3) = 1+24=25
D>0 , √D= 5
x₁= (-1-5) /(2*2) = -6/4= -1.5
x₂= (-1+5)/4 =1
2x²-9x=35
2x²-9x-35 =0
D= 81 -4*2*(-35) =81+280=361
D>0 , √D=19
x₁= (9-19)/ (2*2) =-10/4=-2.5
x₂= (9+19)/4 = 28/4=7
данo:
<A=35°
<C=70°
AC=27cm
Рассчитываем <B:
<B=180°-(<A+<C)=180°-(35°+70°)=180°-105°=75°
<B=75°
Sin75°=0,9659
Sin70°=0,9397
Sin35°=0,5736
пользуемся формулой синусов:
*AC/sinB=CB/sina=AB=sinC
AC/sin75°=CB/sin 35° to:
27/sin75°=CB/sin35° // *sin35°
CB=27*sin35° /sin75°
CB=27*0,5736 /0,9659=15,4872 / 0,9659=16,0339
CB=16,0330cm
AC/sin75°=AB/sin70° to:
27/sin75°=AB/sin70° // *sin70°
AB=27*sin70°/sin75°
AB=27*0,9397 /0,9659 =25,3719 / 0,9659=26,2676
AB=26,2676cm
St =1/2*AC*AB*sina
St= ½*27*26,2676*0,5736=203,4058cm2