The center of rotation is point P. Which describes the rotation of ΔABC to form ΔA'B'C'?A.
clockwise 270°


B.


clockwise 360°


C.
counterclockwise 180°


D.
counterclockwise 90°

Answer:

w = (1/3)*t

Step-by-step explanation:

There is a proportion between the amount of water (w)  and the time elapsed (t). For  every 3 minutes a gallon of water is added to the cooler, this means that in 6 minutes 2 gallons will be added, in 9 minutes 3 gallons, and so on. Therefore, the relationship is:

w/t = 1/3 = 2/6 = 3/9

where t is in minutes and w in gallons

Rearranging gives:

w = (1/3)*t

We can check this equation replacing t with, for example, 6 minutes, to get:

w = (1/3)*(6) = 2 gallons

Final answer:

The question is mathematical, dealing with rates and linear equations. It seeks to establish a relationship between the volume of water (w) and time (t) when filling a cooler. The equation representing this relationship is w = t/3.

Explanation:

The subject of this question is in the field of Mathematics, specifically dealing with the concept of rates and linear equations. The question is asking to establish a relationship between the volume of water 'w' (in gallons) and the time 't' (in minutes). This relationship is a rate, and in this case, 1 gallon of water is filled in 3 minutes.

Therefore, the equation representing this relationship is: w = t/3.

In this equation, 'w' represents the volume of water in gallons, and 't' represents time in minutes it takes to fill the cooler. So, for example, if you want to fill the cooler in 6 minutes, you would substitute 6 for 't' in the equation to find out how much water you would have: w = 6/3 = 2 gallons.

Learn more about Rates here:

brainly.com/question/30354032

#SPJ3

Answer:

The answer is 90 winners.

Step-by-step explanation:

Well, we are given three days. The first day has a rate of 13% winning. The second day has a rate of 13% as well. And the third day has a rate of 11%. You can find this simply by dividing the amount of winners by amount of participants. Now, we must find the mean, or average, of these statistics. We will get 12% as the average rate of winners. How did we get this? By simply adding all three (13+13+11) then dividing by three (37/3), which gives us 12% if we round to a whole number. Now, we can take this number and get 12% of 750. How do we do this? Well, 12% is equal to 0.12. So we will multiply 0.12 by 750. This will give us 90. And there you have your answer.

Alternatively, you could add up the total amount of contestants from the three days. You should end up with 1000. Then add up the total amount of winners from the three days. You should get 120. Divide both of these by 4. The winners will now be 40, and the total contestants will be 250. Now multiply both by 3. The amount of contestants will be 750, and the amount of winners will be 90. This way is a bit easier, but does not always work. Do what is best for you!

Hope this helped!

It is a right triangle because of the square on the bottom left which represents a 90 degree angle.

Hope this helps.