The area of a circle is given by
We can solve this equation for r: divide both sides by pi:
Consider the (positive) square root of both sides:
So, in your case, we have
Answer:
The labor fee is $14.25, each quart of oil costs $2.25.
Step-by-step explanation:
Let $x be thee price of each quart of oil and $y be a flat fee for labor.
1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,
5x+y=25.50.
2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,
7x+y=30.00.
3. Subtract from the second equation the first one, then
Substitute it into the first equation:
The labor fee is $14.25, each quart of oil costs $2.25.
Answer:
76%
Step-by-step explanation:
do the amount of correct answers divided by the total of questions asked.
Answer:
It will take Jack 74 minutes(1 hour and 14 minutes) to complete the task
Step-by-step explanation:
From the question, we know that he has 1000 envelopes to stuff.
Now, he has already stuffed 112 out of the 1000. Number of envelopes left to be stuffed will be 1000 -112 = 888 envelops
We were told that it takes him 1 minute to stuff 12 envelopes.
Let the time it will take him to stuff 888 envelopes be x minutes;
Let’s have a relationship here;
12 envelopes = 1 minute
888 envelopes = x minutes
12 * x = 888 * 1
12x = 888
x = 888/12
x = 74 minutes
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
