You would order it as the following: 415.138, 452.018, 457.2, 828.142
I think no, because a pyramid's lateral face is a triangle, and he can only draw a prism if it's rectangular
Answer:
23
Step-by-step explanation:
5(-2)² - 3(4)/(2(-2))=
5(4) -12/(-4)=
20 + 3 = 23
Answer:
5^9 is not a square number
Step-by-step explanation:
5^9 is not a square number because it is not 5^2, or a multiple of itself. 4^2 is a square number. 4x4=16. 5x5 definitely does not equal 1953125!
Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
