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4 years ago

Please help

Mathematics

1 answer:

riadik2000 [5.3K]4 years ago

3 0

Answer: they lost 16 games

Step-by-step explanation:

Wins: x + 17

Losses: x

Ties: 3

Total: 52

Wins + Losses + Ties = Total

x + 17 + x + 3 = 52

2x + 20 = 52

2x = 32

x = 16

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Step-by-step explanation:

1) Check the Polar Coordinates on the graph.

2) A polar coordinate is given in $(r,\theta)$ Let's transform each polar coordinate into Cartesian one. Considering:

$x=rcos\theta\\y=rsin\theta\\$

$A) (5,\frac{3\pi}{2})\\cos(\theta)=\frac{x}{5}\\cos(\frac{3\pi}{2})=\frac{x}{5}\:Cross\: Multiplying\\x=5 cos(\frac{3\pi}{2})\\x =5 cos(0)\:x=0\\sin(\frac{3\pi}{2})=\frac{y}{5}\\y=5sin(-1)\\y=-5\\(0,-5)$

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$B) (\frac{3}{2},\frac{\pi}{4})\\cos(\theta)=\frac{x}{\frac{3}{2}}\\\frac{3}{2}cos(\frac{\pi}{4})=x\:Cross\: Multiplying\\x=\frac{3}{2}*\frac{\sqrt{2}}{2}\\x =\frac{3\sqrt{2}}{4} \approx 1.06$