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german
4 years ago
14

A see-saw is 25 feet long with a fulcrum in the middle of the board. If a 60 lb. child sits three feet from the fulcrum, what is

the lowest weight that will lift the child?
Mathematics
1 answer:
My name is Ann [436]4 years ago
4 0

Answer:

14.4 lb

Step-by-step explanation:

In a see-saw in equilibrium, the torque generated by one side needs to be the same generated in the other side. The torque is calculated by the product between the mass and the distance to the center of the see-saw.

The torque generated by the child is:

T1 = 60 * 3 = 180 lb*feet

So, the torque generated by the weight needs to be higher than T1 in order to lift the child.

The lowest mass is calculated when the mass is in the maximum distance, that is, 12.5 feet from the center.

So, we have that:

T2 = 180 = mass * 12.5

mass = 180/12.5 = 14.4 lb

So the lowest weight is 14.4 lb

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Can a linear function be continuous but not have a domain and range of all real numbers
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What's the value of x <br><br>​
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3 years ago
A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of
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Step-by-step explanation:

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A. 23

B. 18

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8 0
3 years ago
Can someone help me with this question please !!
Mrrafil [7]

9514 1404 393

Answer:

  • sin(θ) = -7/√65
  • csc(θ)=-√65/7
  • cot=-4/7

Step-by-step explanation:

For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.

  d = √(4² +(-7)²) = √(16 +49) = √65

The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.

  sin(θ) = y/d = -7/√65

  csc(θ) = 1/sin(θ) = -√65/7

  cot(θ) = x/y = -4/7

_____

If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.

6 0
3 years ago
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