The value pie/2 is a solution for the equation 2sin^2x-sinx-1=0

true or false

Yes, is a solution

Step-by-step explanation:

Recall that . By replacing in the given trigonometric equation, we get 0 (zero) as a result, so this value is a solution:

You would get back $200-$153.6 = $46.40 of change

Step-by-step explanation:

The first step is to find how much you have to pay for the files. It is a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The price of a tile

- The cost

As the price of the tiles increases, so will the cost for you, which means that the relationship betwee the measures is direct and we have the following rule of three:

1 tile - $0.80

192 tiles - $x

x = 192*0.80

x = $153.6

The price for 192 tiles is $153.6.

With 2 100 dollar bills, you paid $200, so you would get back $200-$153.6 = $46.40 of change