Angle C is inscribed in circle O.
1 answer:
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Answer:
Step-by-step explanation:
Let's define some notation first :
w= width , l = length , A= Area, P perimeter
For this case we want to maximize the Area given by this function:
A= l w (1)
With the following restriction P=500 ft
We know that the perimeter on this case is given by:
Since they are using the creek as one side.
So then we have this:
(2)
Now we can solve w in terms of l from eqaution (2) and we got:
(3)
And we can replace this condition into equation (1) like this:
And we can maximize this function derivating respect to l and we got:
And then we got that
And if we solve for w from equation (3) we got:
And then the dimensions would be:
And the area would be:
Answer:
Sharon bought a necklace with 90% blue beads.
Step-by-step explanation:
We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.
Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.
Then, using the fraction we receive as a result, we can convert this to a decimal.
After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.
Of the 80 beads, 90% were blue beads.