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Greeley [361]
4 years ago
6

A 10 ft chain weighs 45 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the lower end of the chain to the

ceiling so that it's level with the upper end. ft-lb.
Mathematics
1 answer:
allsm [11]4 years ago
4 0

Answer: work done = 14478ft²-lb/s²

Step-by-step explanation: The work done is equal to the rest energy of the chain.

The rest energy is also the potential energy Mass* hieght*acceleration due to gravity.

But in this case we have to look for our acceleration due to gravity in ft/s².

I googled it an I got 32.174ft/s²

So now let's substitute

Work done = m*g*h

= 45*32.174*10=14478ft²lb/s².

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if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles and the measure of angle 3 is 56 degree
dimulka [17.4K]

Answer:

34º

Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3  If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º

6 0
3 years ago
Giving brainliest to whoever can accurately solve these questions first.
lesantik [10]

1. The amount of money in the account after 10 years is 42,317.96 dollars.

2. it will take Pamela and Kevin 7.5 hours to complete the task together

<h3>How to find compound interest?</h3>

Question(1)

Using compound interest formula,

A = p(1 + \frac{r}{n} )^{nt}

where

  • p = principal
  • r = rate
  • n = number of times
  • t = time

Therefore,

p = 30,000

r = 3.5% = 0.035

t = 10

n = 1

Therefore,

A = 30000(1+\frac{0.035}{1} )^{1X10}

A = $42,317.96

Question 2:

Pamela takes 12 hours to complete a task.

Kelvin takes 20 hours to complete same task.

The time it will take both of them can be computed as follows:

using rate principle,

let

x = time it will take both of them to do the work together.

\frac{1}{x}=\frac{1}{12} + \frac{1}{20}

\frac{1}{x}=\frac{20+12}{240}

\frac{1}{x}=\frac{32}{240}

cross multiply

240 = 32x

x = 240 / 32

x = 7.5 hours

Therefore,  it will take Pamela and Kevin 7.5 hours to complete the task together

learn more on compound interest and rate here: brainly.com/question/18104604

#SPJ1

3 0
2 years ago
What is the length of cloth needed to make 18 shirts if each shirt is made from 0.8 yards of material?
prohojiy [21]

Answer:

14.4 yards

Step-by-step explanation:

Each shirt needs 0.8 yards so 18 shirts needs 18 * 0.8 = 14.4 yards of material.

7 0
3 years ago
Total surface area of this shape
skelet666 [1.2K]

Answer:

6 * 10 * 6

Step-by-step explanation:

6 0
4 years ago
Rosa is saving money for a trip. She has already saved 250$ and plans to save $40 per week. This situation can be represented by
Grace [21]

Answer:

After 6 weeks Rosa has saved $490.

Step-by-step explanation:

1. You have the function given  in the problem above, where x os the number of weeks:

f(x)=250+40x

2. Therefore, to solve this problem you only need to substitute 6 weeks (or x=6) into the given function, as following:

f(x)=250+40x\\f(6)=250+40(6)=490

3. The result is $490.

7 0
3 years ago
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