Final answer:
To find the temperature of the drink after 45 minutes, we can use Newton's Law of Cooling. However, since we don't have the cooling constant, we can't calculate the exact temperature.
Step-by-step explanation:
To find the temperature of the drink after 45 minutes, we can use the concept of heat transfer. In this case, the drink is absorbing heat from the surrounding room at a rate determined by its temperature difference with the room. The rate of heat transfer can be described by Newton's Law of Cooling:
T(t) = T(initial) + (T(room) - T(initial)) * e^(-kt)
where T(t) is the temperature of the drink at time t, T(initial) is the initial temperature of the drink, T(room) is the temperature of the room, k is the cooling constant, and e is the base of the natural logarithm.
Using the given values, we can plug them into the equation to find the temperature after 45 minutes. Round the answer to two decimal places.
Let's calculate:
T(45) = 10 + (20 - 10) * e^(-kt)
Now we can input the given values and find the temperature:
T(45) = 10 + (20 - 10) * e^(-kt)
T(45) = 10 + 10 * e^(-kt)
T(45) = 10 + 10 * e^(-k*45)
T(45) = 10 + 10 * e^(-45k)
Since we don't have the value of the cooling constant k, we can't calculate the exact temperature. Therefore, we need more information to determine the value of k and find the temperature.