Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 8 sin(2θ) − 2 sin(θ) = 0

Step-by-step explanation:

Factor constant terms:

Divide both sides by -2:

Expand trigonometric functions using the fact:

So:

Factor sin(x) and constant terms and multiply both sides by -1:

Split into two equations:

For (1)

Add 1 to both sides and divide both sides by 8:

Take the inverse cosine of both sides:

For (2)

Simply take the inverse sine of both sides

Therefore, the solutions are given by:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

4444444444444 i think