Mathematical Connections Abby notices that for the first twenty perfect squares, each square is either a multiple of 5, one less than a multiple of 5, or one more than a multiple of 5. 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 She writes the following statement. If n is a natural number, then n2 can be written as 5k - 1,5k, or 5k + 1, where k is a whole number. What type of statement did Abby make? Has she shown that her statement is true for all values of n?

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

5

step-by-step explanation:

none cuz there are no "following statements" regarding the question

step-by-step explanation:

for the free

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