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german
2 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]2 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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makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

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Height of base (h)= 10cm

Find:

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Computation:

Area of base of hexagonal prism = n/2[bh]

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Area of base of hexagonal prism = 360 cm²

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The volume of prism = 360 × 9

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3 0
2 years ago
Tariq wrote the equation y=3.2x to represent the line of best fit for the data shown. Is his line a good representation for the
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Answer:

No

Step-by-step explanation:

The way to find the line of best fit by estimate is to have about half the points be above and below the line of best fit. In this case Tariq followed the first few points of the data but his estimate would be very off after 10 on the x axis.  This would not accurately predict what the next data point could be.  

6 0
1 year ago
If h(x) = 6 - X, what is the value of (h*n (10)?
faltersainse [42]

Answer:

<u>(h * h)(10) = 16</u>

Step-by-step explanation:

We should know that: (f*g)(x) = f(x)*g(x)

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∴(h * h)(x) = (6-x) (6-x) = (6-x)²

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==============================================

Note: if we want to find (hoh)(10)

(hoh)(x) = h[h(x)] = 6 - (6 - x) = 6 - 6 + x = x

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48

Step-by-step explanation:

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