1. 21 3/7%; 2. 1,8
Объяснение:
1. -0,75÷(-1 1/4 ÷3+ 1/6) - х%
(17,5÷3,5+1÷0,5)/((12,68-11,18)×1/3) - 100%
Решаем с продолжением:
-0,75÷(-5/4 ×1/3 +1/6)=-0,75÷(-5/12 +2/12)=-0,75÷(-3/12)=-0,75×(-4)=3
(5+2)/(1,5×1/3)=7/0,5=14
3 - х%
14 - 100%
х=3×100/14=150/7=21 3/7%
2. х - 54%
(3 1/3 ÷10+0,175÷0,35)/(1,75-1 11/17 ×51/56) - 100%
((10/3 ×1/10 +0,5)/(1,75- 28/17 ×51/56)=(1/3 +1/2)/(1,75- 3/2)=(2/6 +3/6)/(1,75-1,5)=(5/6)/0,25=5/(6×0,25)=5/1,5=1/0,3=10/3=3 1/3 - 100%
х - 54%
10/3 - 100%
х=10/3 ×54/100=1×18/10=9/5=1,8
1. 21 3/7%; 2. 1,8
Объяснение:
1. -0,75÷(-1 1/4 ÷3+ 1/6) - х%
(17,5÷3,5+1÷0,5)/((12,68-11,18)×1/3) - 100%
Решаем с продолжением:
-0,75÷(-5/4 ×1/3 +1/6)=-0,75÷(-5/12 +2/12)=-0,75÷(-3/12)=-0,75×(-4)=3
(5+2)/(1,5×1/3)=7/0,5=14
3 - х%
14 - 100%
х=3×100/14=150/7=21 3/7%
2. х - 54%
(3 1/3 ÷10+0,175÷0,35)/(1,75-1 11/17 ×51/56) - 100%
Решаем с продолжением:
((10/3 ×1/10 +0,5)/(1,75- 28/17 ×51/56)=(1/3 +1/2)/(1,75- 3/2)=(2/6 +3/6)/(1,75-1,5)=(5/6)/0,25=5/(6×0,25)=5/1,5=1/0,3=10/3=3 1/3 - 100%
х - 54%
10/3 - 100%
х=10/3 ×54/100=1×18/10=9/5=1,8
= -sin(arcsin(1/2))/(√1-sin²(1/2)) =
= (-1/2)/(√1-1/4) = (-1/2)/(√3/2) = -1/√3 = -√3/3
cos(π-arcsin(-1)) = -cos(arcsin(-1)) = -cos(-arcsin1) = -cos(arcsin1) =
= -√(1-sin²(arcsin1)) = 0
tg(π/2+arctg√3) = -ctg(arctg√3) = -1/tg(arctg√3) = -1/√3 = -√3/3
sin(3π/2 - arccos(-1)) = -cos(arccos(-1))= -cos(π-arccos1))=
=cos(arccos1) = 1