Asquare painting canvas has sides of length 45cm. a painter masks off a rectangular area on the canvas. she uses 90cm of tape to mask 3 sides of the rectangle and the 4th side is formed by 1 edge of the canvas. the area enclosed in the rectangle is 1000cm^2. work out the length of the shorter sides of the rectangle.

Aportion of a hiking trail slopes downward at about an 84° angle. to the nearest tenth of a flot, what is the value of x, the distance the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet? a. 143.3 b. 12.5 c. 120.7 d. 130.2

Sarah took the advertising department from her company on a round trip to meet with a potential client. including sarah a total of 11 people took the trip. she was able to purchase coach tickets for $280 and first class tickets for $1280. she used her total budget for airfare for the trip, which was $6080. how many first class tickets did she buy? how many coach tickets did she buy?

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x