5% = 1/20
so if 35 pages are 1/20th of the book, the book would be 20 x 35 pages long.
20 x 35 = 700 Pages
Answer:
38 degrees
Step-by-step explanation:
Since the degrees in a triangle add up to 180, all you need to do is to find the other 2 angles in the triangle and subtract their sum from 180. Since you have the exterior angles, you can just find their supplements to get the two missing angles.
180-134=46
180-84=96
180-(46+96)=38
Answer:
x = -6
Step-by-step explanation:
<3<3<3<3<3<3<3
Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n
![n-2](https://tex.z-dn.net/?f=n-2%3C-1%5C%5Cn%3C-1%2B2%5C%5Cn%3C1%5C%5C%5C%5Cn-2%3E3%5C%5Cn%3E5)
Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3
![n+30](https://tex.z-dn.net/?f=n%2B3%3C-1%5C%5Cn%3C-1-3%5C%5Cn%3C-4%5C%5C%5C%5Cn%2B3%3E3%5C%5Cn%3E3-3%5C%5Cn%3E0)
Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3
![-n+13-1\\-n>2\\n](https://tex.z-dn.net/?f=-n%2B1%3C-1%5C%5C-n%3C-1-1%5C%5C-n%3C-2%5C%5Cn%3E2%5C%5C%5C%5C-n%2B1%3E3%5C%5C-n%3E3-1%5C%5C-n%3E2%5C%5Cn%3C-2)
Therefore, for n > 2 and n < -2 x[-n+1] will be zero