Question

In this fulcrum, for the weights to be in balance, what do the distances d1 and d2 have to be if the overall length is 12 feet? d1 (to the nearest hundredth) = 7.20 feet. d2 (to the nearest hundredth) = feet.

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Answer to a math question In this fulcrum, for the weights to be in balance, what do the distances d1 and d2 have to be if the overall length is 12 feet? d1 (to the nearest hundredth) = 7.20 feet. d2 (to the nearest hundredth) = feet.

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Madelyn

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For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same. Let d1= x. since total distance is 12, we can write d2 = 12 - x for the fulcrum to balance: 60x = 50(12 - x) 60x = 600 - 50x 110x = 600 x = 5.45 Thus, d1= 5.45 and d2= 12 - d1 = 12 - 5.45 = 6.55 d1 = 5.45 d2 = 6.55

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