A projectile is launched at a height of h feet above the ground at an angle of theta with the horizontal. The initial velocity is v0 feet per second, and the path of the projectile is modeled by the parametric equations x=(v0 cos theta)t and y=h+(v0 sin theta)t-16t^2 Write the parametric equations to model the path of a projectile launched from ground level (h = 0) at the given values of theta and v0 Use your equations to answer the following questions. Theta=10 degrees, v0=70 feet per second

Cot(90° − x) = 1 the value of x that satisfies this equation is °. a. 60 b. 135 c. 225 d. 315

Which value of m will create a system of parallel lines with no solution? y = mx - 6 8x - 4y = 12

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? )