<span>The side opposite the 30 degree angle is half of the hypotenuse.
a^2 + b^2 = c^2 =>
a^2 + (c/2)^2 = c^2
12^2 + c^2/4 = c^2
4*12^2 + c^2 - 4c^2 = 0
576 - 3c^2 = 0
- 3c^2 = - 576
c^2 = 192
c = 8√3
</span>
Answer:
The temperature a t = 0 is 190 °F
The temperature a t = 1 is 100 °F
The temperature a t = 2 is 77.5 °F
It takes 1.5 hours to take the coffee to cool down to 85°F
It takes 2.293 hours to take the coffee to cool down to 75°F
Step-by-step explanation:
We know that the temperature in °F, of a cup of coffee t hours after it is set out to cool is given by the following equation:

a) To find the temperature a t = 0 you need to replace the time in the equation:

b) To find the temperature after 1 hour you need to:

c) To find the temperature after 2 hours you need to:

d) To find the time to take the coffee to cool down
, you need to:






e) To find the time to take the coffee to cool down
, you need to:


The previous answer that the person gave you is incorrect as 4.50 and 4.75 are not between 4.1 and 4.2....they are greater.
3 numbers between 4.1 and 4.2 are:
4.12, 4.14, and 4.19
All of these #'s are not less then 4.1 and also not greater then 4.2...they are between the 2 numbers

Create equivalent bases:

Since the bases are equal, then exponent1 = exponent2 in order for this equation to be true.

Check the answer:

Our answer is correct,
x = 1