In the diagram below, what is the approximate length of the minor arc AB?

D. 31.4cm

Step-by-step explanation:

To know the measure of the arc AB, we must first know the measure of the perimeter (the circumference) of the circle:

where is a constant,

and is the radius which is the line that goes from the center of the circle to a point on the circumference, in this case:

so the measurement of the circumference is:

Now, we don't want the measurement of the entire circumference, we only want 60 ° of the total 360 ° degrees of the circle. For this we must divide the measure that we find for the circumference by 360 and multiply the result by 60:

which is option D

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.