In abc, you know that a = 2, b = 3 and m a = 30°. which option below lists the number of triangles and gives the correct explanation?

a. there are no triangles because b sin a < a.

b. there is exactly one triangle because b sin a = 0.5b.

c. there are two triangles because b sin a < a < b.

d. there are three triangles because b sin a = 0.5b and b sin a < a < b.

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )