An aerialist on a high platform holds onto a trapeze attached to a support by an 6.0-m cord. (see the drawing.) just before he jumps off the platform, the cord makes an angle of 39° with the vertical. he jumps, swings down, then back up, releasing the trapeze at the instant it is 0.58 m below its initial height. calculate the angle θ that the trapeze cord makes with the vertical at this instant.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.