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° .
well you know that the yellow rope is 18' shorter then the white rope X 2,
so you would take 101/2 feet and add 18 inches, then you would need to divide that by two to get how long the white one is.
10 1/2 feet + 18 inches = 12 feet
12 feet divided by 2 is 6 feet
Power = Current *Voltage
You already have the current, but not the voltage.
But you are given resistance, and you know that
Voltage=Current*Resistance
Therefore
V=I*R=4*12=48V
So you have 48V
Now you can figure out the Power
P=I*V=4*48=192W
Therefore you have 192W.
hope this helps
<h3>
Answer: x = 35 (choice D)</h3>
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Work Shown:
secant angle = (far arc - near arc)/2
angle BGC = (arc BC - arc AD)/2
40 = (115 - x)/2
2*40 = 115-x
80 = 115-x
115-x = 80
-x = 80-115
-x = -35
x = 35
For more information, you can search out "secant angles" and it should go over how the formula is set up and why it works.
