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ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans: Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60
Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers
If the area of a small size pizza is 78.5 in 2 , what size pizza box would required for the small pizza? (Note: Pizza boxes are calculated according to the length of one side.)
A piece of pipe is carried down a hallway i.e 10 feet wide. At the ending of the hallway the there is a right-angled turn & the hallway narrows down to 8 feet wide. What is the lo
My nephew had been introduced to division by his teacher Ms. Santosh, in Class 3. He, and several of his friends who had been taught by her, appeared to be quite comfortable with t
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
Given that 2t 2 y′′ + ty′ - 3 y = 0 Show that this given solution are form a fundamental set of solutions for the differential equation? Solution The two solutions f
1.A=the set of whole numbers less tan 4 ? 2.B=the set of prime numbers less than 19 ? 3.C=the set of first three days of week?
at what price a 6.25%rs 100 share be quoted when the money is worth 5%
A 10 m ladder of 150N is placed at an angle 30degrees to a smooth wall at point A and the other end (point B) on the ground. Assume that the weight of the ladder acts at its mid po
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