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Mademuasel [1]
2 years ago
9

Two children of mass 19 kg and 33 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. show ans

wer No Attempt If the children are separated by a distance of 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance?
Mathematics
1 answer:
Molodets [167]2 years ago
7 0

Answer:

  1 47/52 m ≈ 1.904 m

Step-by-step explanation:

Let x represent the distance from the pivot to the smaller child. Then x-3 will be the distance to the larger child. The sum of moments about the origin (pivot point) will be zero:

  19x +33(x-3) = 0

  52x = 99 . . . . . . . eliminate parentheses, add 99

  x = 99/52 = 1 47/52

The smaller child is sitting 1 47/52 meters from the pivot point, about 1.904 m.

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Ok let’s solve it

5(x-2)^2-20=0

first let’s foil (x-2)

5(x^2-4x+4) -20=0

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7 0
3 years ago
Could ΔABC be congruent to ΔADC by SSS? Explain. Yes, but only if AB ≅ DC. Yes, but only if BC ≅ DC. No, because AB is not congr
Sonbull [250]

Answer:

<em>Yes, but only if BC ≅ DC; Option B</em>

Step-by-step explanation:

There are 4 possible ways to determine whether two triangles are congruent, and they are the following ;

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SAS ( Side - Angle - Side ),

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It is known here that we must prove these triangles congruence through SSS. A triangle can thus be made possible through the congruence of corresponding sides;

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3 years ago
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3 years ago
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