Answer: -1/6
Step-by-step explanation: Start by changing the minus a negative
to plus a positive, so we have -2/3 + 1/2.
Since our denominators of 3 and 2 have no factors in common,
our least common denominator is 3 · 2 or 6.
In order to get a denominator of 6 in each fraction,
we multiply top and bottom of the first fraction by 2
and top and bottom of the second fraction by 3.
That gives us -4/6 + 3/6 which simplifies to -1/6.
Answer:
58.5
Step-by-step explanation:
Do you remember your unit circle? If sin ω = was -1/2, then it would be 7<span>π/6. If you're unfamiliar with the unit circle, we can derive it.
So, you know that sin is OPPOSITE/HYPOTENUSE, and it's in the third quadrant, where x and y would be negative. If sin </span>ω = -1/2, that means that ω = 1/sin*(-1/2), or sin^(-1)*(-1/2). Let's ignore the negative for now and plug sin^(-1)*(-1/2) into your calculator in radians. You get (1/6)π. But that's in Quadrant 1. We want it in Quadrant 3.
In one complete revolution, or 360°, there are 2π radians. That means, if you want to rotate it 180°, you need to add π to what you originally got.
π+(1/6)π=(7/6)π.
I highly recommend you memorize the unit circle if you haven't already, because you'll need it from Precalculus on.
Since Tim's stamps are 5 times as many, set up the equation:
1038=5s+1s
1038/6=173=s
Ryli has 173 stamps, and Tim has 865.
Subtract 173 from 865 and you get 692 stamps more.
