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.
Answer:
Jackson should work at least 8 hours this week to achieve his target.
Step-by-step explanation:
Jackson's hourly income = $25
His weekly spending budget = $130
Minimum amount to be pushed to the savings account = $50
So, minimum total amount Jackson should earn this week = 130 + 50 = 180
Number of hours to work this week = 
= 
= 8 rounded to next integer
Hence, Jackson should work at least 8 hours this week to achieve his target.
I don’t really get what you’re asking here but a system of 2 parallel lines has no solution, and a system of 2 parallel lines is called inconsistent.
The answer is 5x^2y. The lowest exponent would be the GCF for each term if it has one
Since the co-efficient or "r" is "-3" and "-3", it will simplify to "-6" as -3-3= -6.
then the two constant terms with are "7" and "-12" will simplify to "-5" as 7-12=-5. therefore, the simplest form is -6r -5
hope it helped!
