The area of the trapezoid can be found by adding the two right triangles formed on the ends and the rectangular section in between.
1) Is 42 square inches
2) is 13 square inches
The area of a hexagon can be found by finding the inscribed trapezoid and multiplying by 2.
3) is 552 inches squared
The minimum number of socks that she needs to get such that a pair is always formed is 5.
<h3>
</h3><h3>
How many socks must she get to be ensured of having a pair?</h3>
We know that she has:
- 10 white socks.
- 10 black socks
- 10 brown socks
- 10 blue socks.
First, we need to compute the maximum number of socks she needs to take in such a case that no pair is formed.
That will be 4, and represents the case where:
1 white sock, 1 black sock, 1 brown sock, and 1 blue sock are drawn. At that point, no pairs are formed.
Now, if she draws another sock, a pair will always be formed.
From this, we conclude that if she draws 5 socks, always at least one pair will be formed.
If you want to learn more about combinations, you can read:
brainly.com/question/11732255
Answer:
6/12 or 1/2 If you simply
Step-by-step explanation:
multiply straight across
<span> i'm going to be slightly extra careful in showing each step. specific, ln [n / (n+a million) ]= ln n - ln(n+a million). So, we've sum(n=a million to infinity) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) [ln n - ln(n+a million)] = lim(ok--> infinity) (ln a million - ln 2) + (ln 2 - ln 3) + ... + (ln ok - ln(ok+a million)) = lim(ok--> infinity) (ln a million - ln(ok+a million)), for the reason that fairly much all the words cancel one yet another. Now, ln a million = 0 and lim(ok--> infinity) ln(ok+a million) is countless. So, the sum diverges to -infinity. IM NOT COMPLETELY SURE
</span>
Answer:
A) The functions are not inverses of each other.
Step-by-step explanation:
![f(g(x))=\sqrt{(x^2+3)-3}=\sqrt{x^2}=|x|\ne x](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%5Csqrt%7B%28x%5E2%2B3%29-3%7D%3D%5Csqrt%7Bx%5E2%7D%3D%7Cx%7C%5Cne%20x)
The result of f(g(x)) is not always x, so the functions are not inverses of each other.
In general, a quadratic (or any even-degree polynomial) such as g(x) cannot have an inverse function because it does not pass the horizontal line test.