Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by
To find 
(the common difference) we can simply subtract one of the terms by the last, for example:
The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:
We also have to know that 
stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term
Good luck!
Answer:
Step-by-step explanation:
^4+(x^2-4)^5[\frac{d}{dx}(3x+4)^4]](https://tex.z-dn.net/?f=y%27%3D%5B%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2-4%29%5E5%5D%283x%2B4%29%5E4%2B%28x%5E2-4%29%5E5%5B%5Cfrac%7Bd%7D%7Bdx%7D%283x%2B4%29%5E4%5D)
The answer is (9c/5)+32=F
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
