Howard is designing a chair swing ride. the swing ropes are 4 meters long, and in full swing they tilt in an angle 23 degrees. Howard wants the chairs to be 3.5meters above the ground full swing

The length of a rectangle plus its width is 25 cm. the area is 156 square cm. what are the length and width of the rectangle? separate the answers with a comma.

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)