Answer:
AC = 3.72 units
Angles:
A = 132.6°
C = 27.4°
Step-by-step explanation:
AC² = 5² + 8² - 2(5)(8)cos(20)
AC² = 13.82459034
AC = 3.718143399
3.718143399/sin20 = 8/sinA
sinA = 0.7358944647
A = 180 - 47.38285134
A = 132.6171487
3.718143399/sin20 = 5/sinC
sinC = 0.4599340405
C = 27.38285134
hi!
so the original equation is (x^2 -121) / x+ 11.
Those two equations look similar...
well, we know that the top equation looks like a^2 - b^2, and that equation iis equivalent to this equation: (a+b)(a-b).
So if we factor that out, we get:
( (x + 11) * (x-11) )/ (x + 11)
we can cancel the x+11 on the top and the x+11 on the bottom out.
that leaves us with x-11.
Hope this helped!
Answer:
A ✓5 is the irrational number.
Step-by-step explanation:
Have a good day. :)
Start by putting two coins on each side of the scale. If one side is higher, then the light coin must be in that pair (use a second weighing to determine which of that pair is the lightest.)
If the initial weighing shows the two pairs to be even, discard those four and go to the three others. Put two of the coins on the scale - one on each side. If one side stays higher, that coin is your light one. If however they are equal, the final unweighed coin must be the lighter coin.