a rain gutter is to be made of aluminum sheets that are 16 inches wide by turning up the edges 90degrees. see the illustration.

(a) what depth will provide maximum cross-sectional area and hence allow the most water to flow?

(b) what depths will allow at least 30 square inches of water to flow?

The two-way table shows the number of people whose hobbies are reading or solving puzzles and who either ride a motorcycle or don’t ride a motorcycle. among people whose hobby is reading, what is the relative frequency of not riding a motorcycle? express your answer as a decimal, and round it to the nearest hundredth if necessary. enter your answer in the box. reading solving puzzles ride a motorcycle 7 3 don't ride a motorcycle 5 9

Sanya noticed that the temperature was falling at a steady rate of 1.4 degrees every hour from the time that she first checked her outdoor thermometer. by 6 a.m., the temperature had fallen 21 degrees. which expression can you use to find how many hours earlier she had first checked the thermometer?

Give me the equations of two lines that have the same slope but are not parallel.