1. A cup of coffee is heated to 130°F and placed in a room that maintains
a temperature of 50°F. The temperature of the coffee after t minutes is given by
T = 50 + 80e - 0.031
. Find the temperature, to the nearest degree, of the coffee 60
minutes after it is placed in the room.

Any answers? Really need them :(

2. A cup of coffee is heated to 185F and placed in a room that maintains a temperature of 50F. The temperature of the coffee after “t” minutes is given by T=50 + 135e^-0.033t. Determine when, the nearest tenth of a minute, the temperature of the coffee will reach 150F

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality