Which explanation justifies how the area of a sector of a circle is derived? a. the area of a sector is part of an area of the entire circle. determine the fraction of the circle that the sector represents and multiply it by the area of the circle. b. to find the area of a sector, divide the angle by the total amount of degrees in a triangle then multiply it by the area of the circle. c. the area of a sector can be found by using the formula for the area of circle multiplied by how many angles are in the circle. d. to derive the area of a sector, make a right triangle with the right angle located at the center of the circle. the angle of the triangle divided by the angles in a circle is 90/360 . multiply the fraction by the area of the circle and then subtract the radius squared.

The soup shack usually makes tomato soup with 99 tomatoes for every 1212 cups of soup. today, they made 88 cups of soup with 66 tomatoes. how does today's soup compare to the usual recipe?

Suppose g(x) = f(x + 3) + 4. which statement best compares the graph of g(x) with the graph of f(x)?

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.