Hi there!


We can evaluate using the power rule and trig rules:



Therefore:
![\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B12%7D_%7B2%7D%20%7Bx-sin%28x%29%7D%20%5C%2C%20dx%20%3D%20%5B%5Cfrac%7B1%7D%7B2%7Dx%5E%7B2%7D%2Bcos%28x%29%5D_%7B2%7D%5E%7B12%7D)
Evaluate:

Answer:
Probability of selecting red tile out of a box containing 3 red,2 white & 5 black tiles = 3/10 = 0.3
Step-by-step explanation:
Probability is the calculation of likelihood of an event.
It can be calculated by Formula : Favourable outcome / Total Outcomes
Example : If a box contain 3 red tiles, 2 white tiles, 5 black tiles
Prob (selecting a red tile) = Favourable outcome (red tiles) / Total Outcomes (total tiles) = 3 / 10 = 0.3
Similarly, prob (white tile) & prob (black tile) = 2/10 ie 0.2 & 5/10 ie 0.5 respectively
There are a lot of vertical angles in this figure, I will try my best to list most of them; ace,bcg bca, ecg gfd,afe gfe, dfa
Answer:
8
Step-by-step explanation:
We can use triangle inequality, let AC = x:
x+4 > 5
x+5 > 4
9 > x
Simplifying:
x>1
x>-1
9>x
Thus: 9>x>1
So the Largest whole number is 8
If two angles are supplementary, their sum equals 180 degrees