Which of the following is a factor of 10x2 − 19x 6? 5x − 3 5x − 2 2x 1 none of the above
2 answers:
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Not sure why such an old question is showing up on my feed...
Anyway, let
and 
. Then we want to find the exact value of 
.
Use the angle difference identity:
and right away we find
. By the Pythagorean theorem, we also find 
. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)
Meanwhile, if
, then (by Pythagorean theorem) 
, so 
. And from this, 
.
So,
Anyway, let
Use the angle difference identity:
and right away we find
Meanwhile, if
So,
Answer:
There are <u>20,000 milligrams</u> chlorine in the pool.
Step-by-step explanation:
Given:
The chlorine per liter of water in the pool is 2.5 milligrams.
The volume of water in the swimming pool is 8000 gallons.
Now, to find the quantity of chlorine in the pool.
Let the quantity of chlorine be
The gallons of water in the swimming pool = 8000.
The milligrams of chlorine per liter of water in the pool = 2.5.
According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.
So, 2.5 mg of chlorine is equivalent to 1 liter.
Thus, is equivalent to
Now, to get the quantity of chlorine by using cross multiplication method:
<em>By cross multiplying we get:</em>
Therefore, there are 20,000 milligram chlorine in the pool.