The answer would be D, I think
<span>30 hours
For this problem, going to assume that the actual flow rate for both pipes is constant for the entire duration of either filling or emptying the pool. The pipe to fill the pool I'll consider to have a value of 1/12 while the drain that empties the pool will have a value of 1/20. With those values, the equation that expresses how many hour it will take to fill the pool while the drain is open becomes:
X(1/12 - 1/20) = 1
Now solve for X
X(5/60 - 3/60) = 1
X(2/60) = 1
X(1/30) = 1
X/30 = 1
X = 30
To check the answer, let's see how much water would have been added over 30 hours.
30/12 = 2.5
So 2 and a half pools worth of water would have been added. Now how much would be removed?
30/20 = 1.5
And 1 and half pools worth would have been removed. So the amount left in the pool is
2.5 - 1.5 = 1
And that's exactly the amount needed.</span>
Answer:
I'm not sure what you want me to answer from this, so I solved for every variable:
Angle A: 83°
Side b: 6.29
Side c: 5.8
Step-by-step explanation:
-----Angle A:
Since the sum of the interior angles of a triangle ALWAYS equal 180°, we can solve for angle A as follows:

-----Side b:
Here, we use the sin rule for finding sides, since we know all of the angles as well as one side:

-----Side c:

Bisect typically means half but since we aren't given angle at the start so we can just have to solve for x.
(3x + 8) = (5x - 4)
3x = 5x - 12
-2x = -12
x = 6
Best of Luck!
Answer:
35% discount
Step-by-step explanation:
We can first find what percent of 32 20.80 is.
This can be shown by using a percent proportion.

We can cross multiply to find the value of
.

So 20.80 is 65% of 32.
However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

So the book was on a 35% discount.
Hope this helped!