Albert drives a distance of 55 km on a bearing of 284° from a point A to a point B. He then drives a further 60 km on a bearing of 50 to C. (a) Draw a clearly labelled diagram to represent this information. (b) Calculate: (i) the angle ABC (ii) the distance AC (iii) the angle BAC (iv) the bearing of C from A.

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)

Convert (-3,0) to polar form. a. (3,0’) b. (-3,180’) c. (3,180’) d. (3,360’)

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?