Sum of complement angles = 90
<L + <M = 90
3x - 15 + x = 90
4x - 15 = 90
4x = 105
x = 26.25
<L = 3(18.5) - 15
<L = 63.75
Answer
<L = 63.75°
Answer:
If f(x)=x^2 and you translate it's graph 8 units to the left and 2 units up, g(x)=(x^2+8)+2
So unfortunate, calculators haven't been invented yet :/
But let me save you from the trouble mate-
1) 1.0075
2) 1.0671
3) 8.105
4) 6.1001
5) 8.1898
6) 0.243
7) 0.3365
8) 1.5553
9) 0.5575
10) 2.8878
For 8 rooks
Without conflict (i.e. there is no row or column can contains 2 rooks)
then there are 8 choices for the first one in the first column, 7 choices in the second, ...1 choice in the last (eighth) column for a total of
8!=40320 ways.
Unlimited conflicts
there are 64 choices for the first, 63 for the second, .... 57 for the last, for a total of 64!/56!=178462987637760 ways
Similarly, for n rooks, with unlimited conflicts, there are
64!/(64-n)! ways
The largest number in the chart is 45, so the person left 45 minutes after 10:30 a.m. That person left the library at 11:15 a.m.
