To estimate the area of a circle, Irene divided the circle into 30 congruent sectors. Then she combined pairs of sectors into shapes as shown below. As the shapes resemble rectangles, she treats the shapes as rectangles with the height r (radius) and the base equal to the length of the curved side of one sector. What is the area of each shape? A) r nr/15
B) r nr/30
C) r nr/60
D) r nr/120​

Plz (02.03 mc) which sequence of transformations will change figure pqrs to figure p′q′r′s′? (5 points) select one: a. counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis b. counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis c. counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis d. counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis

Ok a point t on a segment with endpoints d(1, 4) and f(7, 1) partitions the segment in a 2: 1 ratio. find t. you must show all work to receive credit.

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.