Answer:
Is your question, how long did it take for him to do it? If so the answer is: .69 hours
Step-by-step explanation:
100 divided by 145.0441= .6894454859
Avg. Time is .69 hours
X^2-81=0
x^2-81+81=0+81
x^2=81
sqrt(x^2)=+-sqrt(81)
x=+-9
x=-9 and x=9
Answer: Options D. -9 and E. 9
60°, 120° and 180° are the angles at which it will map onto itself.
Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3
