Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
Actual length of the room
6 * 40
240 inches
Actual width of the room
4 * 40
160 inches
Area of the room
240 * 160
38400 inches^2
Hope this helps:D
Have a great rest of a brainly day!
There's always a decimal at the end of a whole number. here it's behind
the last zero. move that decimal so that the non-zero digit is less than
10 but more than 1.
4.73, the decimal was moved 4 places to the left. so the scientific notation is
4.72X10^4
Answer:
3t + 5.25b ≥ 340
Step-by-step explanation: