An air conditioner is turned on at 1:00 pm. By 3:30 pm the room temperature had dropped from 82F to 72F. Find the average rate of change of temperature in this room over the period

Given:

From 1:00 pm to 3:30 pm the room temperature had dropped from 82F to 72F.

To find:

The average rate of change of temperature in this room over the period.

Solution:

Time between 1:00 pm to 3:30 pm is 2 hr 30 minutes, i.e., 2.5 hours.

So, change in time is 2.5 hours.

Room temperature had dropped from 82F to 72F.

Change in temperature = 72 F - 82 F

                                        = -10 F

We know that, average rate of change of temperature in this room over the period is

Therefore, the average rate of change of temperature in this room over the period is -4. It means the temperature is decreasing 4 F per hour.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

3,750 deer

step-by-step explanation:

1,500 is 15 times larger than 100

lets make 250 15 times larger.

3750 deer