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Zarrin [17]
3 years ago
9

16x-5y=-33 solve the equation

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0
 16x - 5y = -33               First, you subtract 16x from both sides of the 
<u>-16x           -16x       </u>      equation
         <u>-5y</u> = <u>-16x -33</u>       Next, you divide both sides of the equation by -5 to 
          -5          -5            make "y =" form
            y = 16/5x + 33/5
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Answer:

311.41 degrees

Step-by-step explanation:

If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).

Let's assume we're in Quadrant IV.  Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.

According to the Pythagorean Theorem,  (-3)^2 + x^2 = 4^2, or,

x^2 = 16 - 9 = 7.

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To find the angle Ф, use the inverse sine function:

Ф = arcsin (-3/4).  Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees.  We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."  

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Many years ago, the towns of Franklin and Chester agreed to begin posting their populations on signs just outside of their towns
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