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Triangle with 120° angle and integer sides A similar special case of the Law of Cosines relates the sides of a triangle with an angle of 120 degrees: c 2 = a 2 + a b + b 2 . {\displaystyle c^{2}=a^{2}+ab+b^{2}.}
The Supreme Court is established by Article III, Section 1 of the Constitution of the United States, which says: "The judicial Power of the United States, shall be vested in one supreme Court . . .". The size of the Court is not specified; the Constitution leaves it to Congress to set the number of justices.
Early federal and state civil procedure in the United States was rather ad hoc and was based on traditional common law procedure but with much local variety. There were varying rules that governed different types of civil cases such as "actions" at law or "suits" in equity or in admiralty; these differences grew from the history of "law" and "equity" as separate court systems in English law.
This is the full solution, however most corners are banked at less than 15 degrees (≈28% grade), so in such conditions, a fieldable small angle approximation may be used. Substituting small-angle approximations sin θ ≈ θ , cos ≈ 1 − θ 2 /2:
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.
The Uniform Simultaneous Death Act is a uniform act enacted in some U.S. states to alleviate the problem of simultaneous death in determining inheritance.. The Act specifies that, if two or more people die within 120 hours of one another, and no will or other document provides for this situation explicitly, each is considered to have predeceased the others.
WASHINGTON (Reuters) -A U.S. appeals court blocked on Monday the U.S. Transportation Department's new rule on upfront disclosure of airline fees pending a full review of the regulation, dealing a ...
The 30°–60°–90° triangle is the only right triangle whose angles are in an arithmetic progression. The proof of this fact is simple and follows on from the fact that if α, α + δ, α + 2δ are the angles in the progression then the sum of the angles 3α + 3δ = 180°. After dividing by 3, the angle α + δ must be 60°. The right angle ...