We should now be able to draw a diagram showing machin's setup. 1. draw a unit circle 2. draw a line from the origin at 45° to the c-axis. 3. add a line tangent to the circle at the point (0,1). 4. draw a line from the origin at angle whose tangent is 1/5. 5. draw similar lines for angles 20 and 40. if your diagram is accurate, you should see that the lines for 40 and 45° are quite close. how does this relate to task 11?

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.