1.
27 - 30%
х - 100%
30х=27*100
30х=2700
х=2700 : 30
х=90
Ответ: 90 выпускников.
3. 9^(³/₂) +27^(²/₃) - (¹/₁₆)^(-³/₄)=
=(3²)^(³/₂) +(3³)^(²/₃) - (2⁻⁴)^(-³/₄)=
=3³ + 3² - 2³ =
=27+9-8=28
4.2cos(π/4 +x)=√2
cos(π/4+x)=(√2)/2
π/4 +x=+ π/4 + 2πk, k∈Z
1) π/4 +x=π/4 +2πk, k∈Z
x=2πk, k∈Z
2) π/4+x= -π/4 +2πk, k∈Z
x=-π/4 - π/4 + 2πk, k∈Z
x=-π/2 + 2πk, k∈Z
Ответ: 2πk, k∈Z;
-π/2 + 2πk, k∈Z.
5.
S=1/π
S=πR²
1/π = πR²
R²=1/π²
R=1/π
L=2πR
L=2π * (1/π)=2
Ответ: 2.