<span>3780
If you consider every letter in the word "tennessee" to be unique there is 9!, or 362880 different ways to arrange the letters. So let's use that as a starting point.
Now there's 4 e's, which we really don't care how they're arranged. So divide by 4!, or 24. Giving us 362880/24 = 15120 different ways to arrange the letters.
There's also 2 n's. So divide by 2!, giving us 15120/2 = 7560 different ways.
Don't forget the s's either. So another division by 2!, giving 7560/2 = 3780 different ways.
And there's no more duplicate letters, so the final figure is 3780 different ways to arrange the letters in the word "tennessee".</span>
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
Answer:40,503
14,256 was the money that got taken away and 26,247 is how much she had left so in total if you add you’ll get 40,503.
