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Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order
If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?. Ans: Cos? + Sin? = √2 Cos? ⇒ ( Cos? + Sin?) 2 = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒
ABCD is a parallelogram in the given figure, AB is divided at P and CD and Q so that AP:PB=3:2 and CQ:QD=4:1. If PQ meets AC at R, prove that AR= 3/7 AC. Ans: ΔAPR ∼ Δ
0.875 of a number is 2282. What is the number ?
Q. Probability of Independent Events? Ans. Consider these two events: {My name is Shirley} {The rain is falling} Are these events related to each other? No. My name
What is Converse, Inverse, and Contrapositive In geometry, many declarations are written in conditional form "If ...., then....." For Example: "If two angles are right angles,
The sum of the digit number is 7. If the digits are reversed , the number formed is less than the original number. find the number
Question: Consider a digraph D on 5 nodes, named x0, x1,.., x4, such that its adjacency matrix contains 1's in all the elements above the diagonal A[0,0], A[1,1], A[2,2],.., e
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(a) Using interpolation, give a polynomial f ∈ F 11 [x] of degree at most 3 satisfying f(0) = 2; f(2) = 3; f(3) = 1; f(7) = 6 (b) What are all the polynomials in F 11 [x] which
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