$1 to $3 depending upon the condition of the token.
You can prove this just from knowing that the three angles of a triangle add to 180 degrees. Label the ends of the arc A and B, the circle's centre O and the "any other point" P. We want to show that angle APB is half of angle AOB. (This uses the notation where you write three letters XYZ to mean the angle formed between straight lines XY and YZ). Consider the triangle formed by O, B and P. The lengths OB and OP are the same (the radius of the circle). This means that the triangle is isosceles and angles OPB and OBP are the same. Since POB + OPB + OBP = 180 degrees and OPB = OBP we have POB + 2 * OPB = 180 With the same working, the triangle formed by O, A and P gives us POA + 2 * OPA = 180 Subtract these two equations: (POB - POA) + 2 * (OPB - OPA) = 180 - 180 = 0 Rearrange: 2 * (OPB - OPA) = POA - POB If you draw a diagram you will see that OPB - OPA = APB and POA - POB = AOB so we have 2 * APB = AOB as required.
O-phthaldehyde (OPA) is a small fluorscent molecule that reacts with primary amines, predominantly lysines and N-termins amines, in aqueas solutions at room temperature. It is used to determine the total concentration of protein in a sample. OPA can be used within a concentration of 1µg/ml - 1 mg/ml. Because it will react with N-terminus amines, it is a good choice for assays of small peptides that may not have enough amino acids to be detected by Bradford, BCA or Lowry protein assays.
There were used in the food rationing during World war 2.
These blue WWII OPA tokens are actually pretty common -- worth a few cents apiece.
Found one on EBay for .99cents plus $2 Shipping.
2500
Opa Opa was created on 1999-07-05.
No, opa-opa is a self-aware spaceship with no gender.
It depends on the 2 letters on the side of it. If it is MV it's worth over 200$. If it's mm it's worth about5$ and the rest are worth about 50cents
You could say either 'grootvader' or 'opa', but 'opa' is far more common in the Netherlands.
Toyota Opa was created in 2000.
Opa-Loka was created in 1975.
FC OPA was created in 2005.
The address of the Opa-Locka Branch Library is: 780 Fisherman Street, Suite 140, Opa-Locka, 33054 3806