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Ymorist [56]
4 years ago
12

you have a part time job. you work for 3 h on friday and 6 h on saturday. you also receive an allowance of 20$ per week. you ear

n 92$ per week. how much do you earn per hour at your part time job
Mathematics
1 answer:
mart [117]4 years ago
4 0
Part time job                          Allowance 20/wk
 3 h fri
 6 h sat   

total 92.00              find:  per hr part time

92-20=72
3+6=9
72/9 = $8 part time per hour                          
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(1.5,-2.6)

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Given the polar coordinates (-3,60°).

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r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

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#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

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I hope this helps you

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