John has a 12 foot ladder. He wants to lean it against a wall. He needs the base of the ladder to be 6 feet from the base of the wall. What is the measure of the angle formed with the ground?

If g(x) = x+1/ x-2 and h (x) =4 - x , what is the value of ( g*h) (-3)?

The function a represents the cost of manufacturing product a, in hundreds of dollars, and the function b represents the cost of manufacturing product b, in hundreds of dollars. a(t) = 5t + 2 b(t) = 7t - 2t +4 find the expression that describes the total cost of manufacturing both products, a(t) + b(t). a. 7t^2 - 7t + 2 b. 7t^2 + 3 +6 c. 7t^2 + 7t - 6 d. 7t^2 - 3t + 6

The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?