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DochEvi [55]
2 years ago
8

a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weigh

s 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Mathematics
1 answer:
Dafna11 [192]2 years ago
6 0

Answer:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

\tau_{man}>\tau_{box} and

180r>500(.1524) That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

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Ipatiy [6.2K]
Newtons are used to measure force, so there is a measure of 4 newtons remaining. 
4 0
3 years ago
Pls help me i need it​
Delvig [45]

Answer:

13=x

Step-by-step explanation:

Side-spliting theorem

21/(x-4)=14/6

cross multiply

21*6=14*(x-4)

distribute 14

126=14x-56

add 56 to both sides

126+56=14x-56+56

leaving you with

182=14x

Divide both sides by 14 to get x by itself

182/14=14x/14

13=x

4 0
3 years ago
32.79 divided by 3.1
tiny-mole [99]

Answer:

10.5774194, you can round up as many ways as you want.



7 0
3 years ago
Read 2 more answers
Compare 4.6, 2.8..., square root 17, 3.9..., square root 8
Basile [38]
1. Square root 17= 289, Square root 8= 64.
289 = 289.00 \:  \: 64 = 64.00
4.6 > 2.8
289.00 > 64.00
289.00 > 4.6
4.6 > 3.9
2.8 < 3.9
Least to greatest:
2.8, 3.9, 4.6, 64.00, 289.00


7 0
3 years ago
Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

5 0
3 years ago
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