Answer:
108
Step-by-step explanation:
<u>find the volume of the cooler</u>:
V=πr²h
π×6²×16= 1809.56
<u>find the volume of the cup</u>:
V=πr²(h/3)
π×2²×(4/3)= 16.76
<u>divide the volume:</u>
1809.56/16.76= 107.969
Assuming that the cooler is full to the max, and cups are filled almost to the top, the cooler contains 108 cups of water.
Answer: 26 years.
Step-by-step explanation:
Let x = current age of Louise (in years).
Then current age of James = x+6
Eight years from now, James's age = x+6+8= x+14
4 years ago, Louise's age = x-4
According to the question
x+14 = 4(x-4)
⇒ x+14 = 4x-16
⇒ 4x-x = 16+14
⇒ 3x = 30
⇒ x= 10 = current age of Louise (in years).
current age of James = 10+6 = 16 years
Sum of current ages = 16+10=26 years.
hence, the sum of the current ages is 26 years.
So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:
Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:
That x value is 20.
So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:
Now that we've factored our equation, we can use ZPP and break it up:
So, our solutions are:
Okay so CBE is a right angle which equals 90 degrees. CBD and DBE makes up CBE which is 23 degrees is part of CBD. So subtract CBE from CBD to get DBE which is 67 degrees.