15 1/3 - 6 1/4 - 4 2/3 = <span>4.41666666667 hours</span>
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.
Step-by-step explanation:
x² - 14x + 58
= (x - 7)² + 9.
Hence the vertex is (7, 9).
Answer:
y has the greatest value.
Step-by-step explanation:
1.23w = t
Divide both sides by 1.23.
--- (1)
1.01x = t
Divide both sides by 1.01.
--- (2)
0.99y = t
Divide both sides by 0.99.
--- (3)
From (1), (2) and (3), it is clear that y has the greatest value.
Answer:
$1082
Step-by-step explanation:
10% of $984
10/100 ($984)= $98.4
Earnings = ($98.4+$984)
Earnings = $1082.4
Earnings = $1082 (to the nearest cent)
