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What is the ratio of miles to cab fare?
Well, honey, the ratio of miles to cab fare depends on the taxi company's rates. Typically, it's calculated by dividing the total fare by the number of miles traveled. So, if you want to know the exact ratio, you better check the fare chart or ask the driver - they'll give you the scoop.
How sin2 plus cos2 equals 1?
Take a right angled triangle ABC with the right angle at B, so that AC is the hypotenuse. Let AC be 1 unit long. Using the angle CAB, the length of AC and the trigonometric ratios: sin = opposite/hypotenuse ⇒ sin CAB = AB/AC = AB/1 = AB cos = adjacent/hypotenuse ⇒ cos CAB = BC/AC = BC/1 = BC Using Pythagoras: AB2 + BC2 = AC2 ⇒ (sin CAB)2 + (cos CAB)2 = 12 ⇒ sin2θ + cos2θ = 1
ABC plus BCA plus CAB equals 666?
It is possible.
Prove that the bisectors of 2 adjacent supplementary angles include a right angle?
∠DAB + ∠EBA = 180� ⇒ 2∠CAB + 2∠CBA = 180� (Using (1) and (2)) ⇒ ∠CAB + ∠CBA = 90� In ∆ABC, ∠CAB + ∠CBA + ∠ABC = 180� (Angle sum property) ⇒ 90� + ∠ABC = 180� ⇒ ∠ABC = 180� - 90� = 90� Thus, the bisectors of two adjacent supplementary angles include a right angle.
How many ways can you arrange 3 things?
6 -- abc, acb, bac, bca, cab, cba
