Find all of the solutions for the following equation. 2 sin q + 3 = sin q + 2

q = 270 degrees + 360n  where n is an integer

Step-by-step explanation:

2 sin q + 3 = sin q + 2

Subtract sin q from each side

2 sin q - sin q + 3 = sin q + 2

sin q + 3 = 2

Subtract 3 from each side

sin q +3-3 = 2-3

sin q = -1

Take the inverse sin of each side

sin ^-1 (sin q) = sin^-1 (-1)

q = 270 degrees + 360n  where n is an integer

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%