the ladder of a fire truck is 20 m long at a certain moment in makes an angle of pi/3 radians with the horizontal at what rate is the tip of the ladder ascending if the ladder is rotating upwards at .1 rad/sec?

Asif spent $745.10 on 13 new file cabinets for his office. small file cabinets cost $43.50 and large file cabinets cost $65.95. write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. determine if each statement is true or false. 1. he purchased 5 small cabinets. true or false 2. he purchased 7 large cabinets. true or false 3. he spent $527.60 on large cabinets. true or false

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?

50 points and will mark brainlest if you were constructing a triangular frame, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a triangle? would you be able to create a frame from these pieces of wood? yes or no? = explain your mathematical thinking: