1) + $12, since it is a profit
2) -1440 ft, since it is below the sea level
3) - 22°F, since it is below
4) + 31 yards, since it is a gain.
First lets see the pythagorean identities

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
5:16 is no
24:15 is no
3:12 is yes
Start at -4 and go to the right 6 times on the number line and you should end up with 2
Sam would have to pay $510 to buy 5 shirts and 2 suck belts.
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of one belt = y
According to given statement;
6x+4y = 660 Eqn 1
x = 3y Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 22

Putting y=30 in Eqn 2

One shirt costs $90 and one belt cost $30.
Price of 5 shirts = 90*5 = $450
Price of 2 belts = 30*2 = $60
Total = 450+60 = $510
Sam would have to pay $510 to buy 5 shirts and 2 suck belts.
Keywords: linear equation, addition
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