Answer:
sin -1 degrees.
Step-by-step explanation:
sin (A - B) = sin A cos B - cos A sin B
Therefore sin 9° cos 10°- cos 9º sin 10° = sin (9 - 10)
= sin -1 degrees.
Answer:
What is part 1?
Step-by-step explanation:
4(9x + 11) + 5(3x + b) = ax + 9
(36x + 11) + (15x + 5b) = ax + 9
36x + 11 + 15x + 5b = ax + 9
51x + 5b + 11 = ax + 9
Answer:
Christopher can take 56 different groups of 5 shirts.
Step-by-step explanation:
Christopher has 8 unique shirts.
Out of these only 5 can fit in his bag.
So the number of ways in which he can choose 5 shirts from the available 8 is given by ![\[_{5}^{8}\textrm{C}\] ](https://tex.z-dn.net/?f=%5C%5B_%7B5%7D%5E%7B8%7D%5Ctextrm%7BC%7D%5C%5D%0A)
This can be evaluated as
Simplifying further,
= ![\[\frac{6*7*8}{1*2*3}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B6%2A7%2A8%7D%7B1%2A2%2A3%7D%5C%5D)
= 56
So Christopher has 56 choices to select 5 shirts out of 8.