Answer:
you'll have to multiply 8 by itself to get your area so you have to do 8*8
Step-by-step explanation:
Answer:
4 and 5
Step-by-step explanation:
n + 1 > 4
n > 4 - 1
n > 3
For the set { 1, 2 , 3 , 4, 5 }, 4 and 5 are greater than 3.
Hence, 4 and 5 makes the inequality n + 1 > 4 true.
Answer:
θ = 2 π n_1 + π/2 for n_1 element Z or θ = 2 π n_2 for n_2 element Z
Step-by-step explanation:
Solve for θ:
cos(θ) + sin(θ) = 1
cos(θ) + sin(θ) = sqrt(2) (cos(θ)/sqrt(2) + sin(θ)/sqrt(2)) = sqrt(2) (sin(π/4) cos(θ) + cos(π/4) sin(θ)) = sqrt(2) sin(θ + π/4):
sqrt(2) sin(θ + π/4) = 1
Divide both sides by sqrt(2):
sin(θ + π/4) = 1/sqrt(2)
Take the inverse sine of both sides:
θ + π/4 = 2 π n_1 + (3 π)/4 for n_1 element Z
or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z
Subtract π/4 from both sides:
θ = 2 π n_1 + π/2 for n_1 element Z
or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z
Subtract π/4 from both sides:
Answer: θ = 2 π n_1 + π/2 for n_1 element Z
or θ = 2 π n_2 for n_2 element Z
Answer:
π(12x^3y^5z)^2
Step-by-step explanation:
I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment