We haven n! = (n-1)! x n and (n+1)! = n! x (n + 1);
Then, (n!)^2 = n! x n! = n! x (n-1)! x n;
And (n+1)!(n-1)! = n! x (n + 1) x (n-1)!;
Finally, [n! x (n-1)! x n] / [n! x (n + 1) x (n-1)!] = (n+1)/n;
Answer:
<h3>
B(10, 6)</h3>
Step-by-step explanation:
If P is midpoint of AB and: 
then:

The given triangle has a right angle.
We use the mnemonics SOH-CAH-TOA.
1i)
,
,
ii)
,
,
,
,
2. We want to find the hypotenuse.
We know an angle to be 23 degrees.
We were also given the side opposite to this angle to be 1200km.
Therefore we use the sine ratio.
Answer:
22.5° and 67.5°
Step-by-step explanation:
The sum of complementary angles equal 90°.
Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.
Thus, the following expression can be written to represent this case:

Solve for x

Divide both sides by 4


The measure of the complementary angles are:
x = 22.5°
3x = 3(22.5) = 67.5°
We need to subtract: the scientist needed 57,500 dollars, but already had 32,506, so we need to find what's left: 57,500 - 32,506 = 24,992 dollars
Your answer is A. Hope that helps! :)