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  2. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    Interior angle Δθ = θ 1 −θ 2. The Pythagorean theorem is a special case of the more general theorem relating the lengths of sides in any triangle, the law of cosines, which states that where is the angle between sides and . [45] When is radians or 90°, then , and the formula reduces to the usual Pythagorean theorem.

  3. Four color theorem - Wikipedia

    en.wikipedia.org/wiki/Four_color_theorem

    A four-colored map of the states of the United States (ignoring lakes and oceans) In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of ...

  4. Law of cosines - Wikipedia

    en.wikipedia.org/wiki/Law_of_cosines

    Fig. 1 – A triangle. The angles α (or A), β (or B), and γ (or C) are respectively opposite the sides a, b, and c. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles. For a triangle with sides and opposite respective angles ...

  5. See Trump and Harris' paths to 270 electoral votes — and ...

    www.aol.com/news/see-trump-harris-paths-270...

    Build and share your own map, or look through the different scenarios NBC News experts Steve Kornacki and Kristen Welker have drawn up, from the most likely paths to victory to some more unusual ...

  6. File:Fish Coloring Pages PDF.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Fish_Coloring_Pages...

    File:Fish Coloring Pages PDF.pdf. Size of this JPG preview of this PDF file: 424 × 600 pixels. Other resolutions: 170 × 240 pixels | 339 × 480 pixels | 543 × 768 pixels | 1,239 × 1,752 pixels. This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file ...

  7. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  8. Pythagoras - Wikipedia

    en.wikipedia.org/wiki/Pythagoras

    Pythagoras of Samos[ a ] (Ancient Greek: Πυθαγόρας; c. 570 – c. 495 BC) [ b ] was an ancient Ionian Greek philosopher, polymath and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in general.

  9. Star readers show how they colored their way to the Super ...

    www.aol.com/star-readers-show-colored-way...

    Emily Burgard wrote The Star, “My son Cole, age 6, enjoyed coloring this. He made sure the jersey colors were just right. He is so excited for the Super Bowl!”

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