The temperature of a cup of coffee t minutes after it has been poured is described by the function c(t) = 20 + 60(0.95)^t . a. how many minutes does it take for the coffee to cool to a temperature of d degrees? b. about how fast is the temperature dropping when t = 1?

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.