This will be easier to write, and a lot easier to read, if we temporarily
use another symbol ... say, 'Q' ... to represent ' sin(2x) ' .
Here we go:
Original equation: Q² - 0.5 Q = 0
Factor the left side: Q (Q - 0.5) = 0
This equation is true if either factor is zero:
-- If Q=0, then sin(2x) = 0
2x = 0°, 180°, 360°
x = 0°, 90°, 180°
-- If (Q-0.5) = 0, then Q = 0.5
sin(2x) = 0.5
2x = 30°, 150°
x = 15°, 75°
The whole collection of solutions
between 0° and 360° :
x = 0°, 15°, 75°, 90°, 180° .
Divide 7962 by 1/10:
796.2
<h2>
Answer:<u>
158.7 is the answer</u></h2><h2><u>or it can be</u>
<u>89.7</u></h2>
Step-by-step explanation:
<h2>
<u>69 + Percentage increase =
</u></h2><h2>
<u>69 + (130% × 69) =
</u></h2><h2>
<u>69 + 130% × 69 =
</u></h2><h2>
<u>(1 + 130%) × 69 =
</u></h2><h2>
<u>(100% + 130%) × 69 =
</u></h2><h2>
<u>230% × 69 =
</u></h2><h2>
<u>230 ÷ 100 × 69 =
</u></h2><h2>
<u>230 × 69 ÷ 100 =
</u></h2><h2>
<u>15,870 ÷ 100 =
</u></h2><h2>
<u>158.7</u></h2><h2>
<u /></h2><h2>
<u /></h2><h2>
<u>69 increased by 130% = 158.7
</u></h2><h2>
<u>Absolute change (actual difference):
</u></h2><h2>
<u>158.7 - 69 = 89.7</u></h2>
$7.20 per hour, 1.5*$7.20 = $10.80/hour for overtime
40*$7.20 + (44.5-40)*$10.80 = $336.60 in gross earnings
