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Polar Coordinates
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
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Our wiki is made for math and science
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Used and loved by 4 million people
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The point \((5, 5\sqrt{3})\) in Cartesian coordinates can be expressed as \((r, \theta^{\circ})\) in polar coordinates, where \(r\) is a positive real number and \(0 \leq \theta \leq 180\). What is the value of \(r+ \theta\)?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
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including olympiad champions, researchers, and professionals.
The point \((-21\sqrt{3}, 21)\) in Cartesian coordinates can be expressed as \((r, \theta)\) in polar coordinates, where r is a positive real number and \(0^{\circ} \leq \theta \leq 180^{\circ}\). If \(\theta\) is measured in degrees, what is the value of \(r+ \theta\)?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
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including olympiad champions, researchers, and professionals.
If point \(P\) is given in Cartesian coordinates as \(P=(15, 15),\) what are the polar coordinates of \(P?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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The point \((19, -19)\) in Cartesian coordinates can be expressed as \((r\sqrt{2}, \theta^{\circ})\) in polar coordinates, where \(r\) is a positive real number and \(0 \leq \theta \leq 360.\) What is the value of \(r+ \theta\)?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
The point \((-19\sqrt{2}, 19\sqrt{2})\) in Cartesian coordinates can be expressed as \((r, \theta)\) in polar coordinates, where \(r\) is a positive real number and \(0^{\circ} \leq \theta \leq 180^{\circ}\). If \(\theta\) is measured in degrees, what is the value of \(r+\theta\)?