This I my explanation for this question if it is helpful your welcome
Five-eighths inch on a ruler is a mark past 1/2 inch and before 1 inch. If the ruler divides the inches into eighths, 5/8 inch is the fifth mark on the ruler from the left side. If the ruler divides the inches into 16ths, it is the 10th mark.
Answer: 38568 3/4
Step-by-step explanation:
Volume(V) = lwh
Where l=length;w=width;h=height
V = 50 * 25 1/2 * 30 1/4
V = 38,568 3/4 or 38,568.75
Answer:
C
Step-by-step explanation:
Standard form is [ ax² + bx + c ]
The exponents and variables determine what comes first. In [ 11x³ - 6x² + 5x ], we can see that the exponents are going from greatest to least and the last number doesn't have an exponent so it goes last. Essentially we can think of this as sorting each part from greatest to least using exponents -> variables -> number to determine that.
Best of Luck!
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
