A 200-foot cable weighing 800 pounds is hanging from a winch 200 feet above ground level.
(a) How much per foot does this cable weigh? if a piece of this cable is A.x long, what is the weigh of this piece?
(b) Find the work (in ft-lb) done in winding up the cable when there is a 400- pound load attached to the end of the cable.

Answers

Answer 1

Answer:

4 pd / ft

140000 ft/pd

Step-by-step explanation:

Total Weight of cable = 800 pounds

Length of cable = 200 feets

Weight per foot = Total weight / length = 800 / 200 = 4 pounds per foot

Weight of piece will be :

Weight of cable - weight per foot * x

800 - 4x

Workdone with 300 pound load attached :

∫f(x)

f(x) = (800+300 - 4x) = 1100 - 4x

∫1100 - 4xdx at 200 to 0

Integrating the above

1100x - 4/2x² at x = 200 to 0

1100x - 2x²

1100(200) - 2(200²) - 1100(0) + 2(0^²))

(220000-80000) - 0 + 0

140000 ft/pd


Related Questions

PLEASE FAST
Solve the equation for t.

4(t – 2.9) ≥ 3.6

t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6

Answers

Answer:3.8

Step-by-step explanation:

The graph below represents the linear equation y = 1/2x - 3.

A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3

What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)

Answers

Answer:

(2,-2)

Step-by-step explanation:

The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.


hope this helps :)

Answer:

C) (2, -2)

--------------------------

From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:

y = - x

The first line is given y = 1/2x - 3, equate both to get:

- x = 1/2x - 3-2x = x - 6x + 2x = 63x = 6x = 2

Then the value of y:

y = - x = - 2

The solution is (2, - 2).

3
8.) La Venadita gave Mr. Gonzalez 10 pounds of
ceviche. Mr. Gonzalez gave Mr. Hopkins 6 pounds
of ceviche. How many pounds of ceviche does Mr.
Gonzalez have left?

Answers

Answer:

4

Step-by-step explanation:

Mr Gonzalez had 10 pound. Then Mr. Gonzalez gave away 6 pounds. Now Mr. Gonzalez has 4 pounds (10 pounds-6 pounds)

x^2-2/3x+9 factored

Answers

Answer:

x^2 - 2 /3 (x+3)

Step-by-step explanation:

Find the area of the figure below and please show how you got the answer.. Thanks

Answers

Cut the graph into triangle and rectangle. The triangle area is 8x8/2=32 while rectangle is 8x6=48 sum them up which is 80. B is the answer

Please help, give brainliest

Answers

b and c are the most reasonable answers

Answer:

The answer is B and C

No explanation needed cuz I am sure for my answer

2. 8.SP.1.2
Which line represents the best fit for the scatter
plot data?
10
10
8
8
6
2
2
A.
0
2 4 6 8 10
C. 0
10
10
101
8
8
6
61
4
2
2
B.
0
8 10
D. 0 2 4 6 8 10

Answers

Answer:

A

Step-by-step explanation:

A. because the line of best fit has to be at best fit between the points so is a good approximation of where all the points are heading when you try to predict something.

show that 2/4+1/4=3/4 and not 3/8 using pictures​

Answers

Answer:

Here

Step-by-step explanation:

Step by step solution:

Fractions with the same denominators can be added together by simply adding the numerators while retaining the common denominator.

The numerators should be added together while maintaining a common denominator. Add fractions with the same denominators by following the methods shown below:

Given:

=2/4 + 1/4

=(2+1)/4

=3/4

Therefore, 2/4 + 1/4=3/4 and not 3/8

Note:

Keep the following in mind while adding fractions. Make sure that the fractions denominators match.If they don't share the same denominator, change them to compare fractions that do.Once the denominators are equal, add the numbers in the numerator.In your response, place the new numerator over the old one.The fractions denominators could have changed when you reduced them to the same common denominator.

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how do u estimate 5004​

Answers

Answer:

[tex]5004 \approx5000[/tex]

Answer:

Step-by-step explanation:

You would have know to how much accuracy you want to know.   Estimates are about ball parking a number into some other idea about an easy way to understand what a number represents.   5,000 might be a good estimation for a distance that you're going to walk,   if the exact distance is 5,004.  You get a pretty good idea of how far , time wise, energy required ect ect.. when you say  5,000   So estimation is really about making the numbers easier to use and understand.   Numbers are "abstract"   they only represent ideas.

A bakery sold 32 bagels in the first hour of business and 37 bagels in the second hour. If the bakery had 228 bagels to start with, how many bagels were left after the second hour?

Answers

Answer:

159 bagels left

Step-by-step explanation:

add the 32 and 37 then subtract the answer from 32 and 37 from 228 and your answer is 159

WILL MARK BRAINLIEST given angles A and B in quadrant I with tan = 7/24 and tan B = 15/8, find tan (A + B), find the exact value of each expression by applying the identity.

Answers

Using PEMDAS to resolve the trigonometric identity which involves trigonometric function, the value of tan A + tan B is 416 / 87

What is Trigonometric Identity

A trigonometric identity is an equation that is true for any value of the variables involved. These identities are useful in solving problems involving trigonometric functions. Examples include the Pythagorean identity, the sine and cosine addition formulas, and the double angle formulas.

In the given problem, we have a compound angle problem and we can solve it as;

tan A + tan B = [(tan A + tan B)] / [1 - tan A * tan B]

tan A = 7/24tan B = 15 / 8

Substituting the values into the expression and solve;

tan A + tan B = [(7/24 + 15/8)] /[1 - (7/24)(15/8)]

Applying the rules of PEMDAS;

tan A + tan B = (13 / 6) / (29 / 64)

tan A + tan B = 416/87

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A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line.

Answers

The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)

How to write the equation of the line

The general form of a linear equation is y - y₁ = m (x - x₁).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept)

The point slope formula is given by y - y₁ = m (x - x₁), where:

y = output value

y₁= the given y coordinate point

m = slope

x = input value

x₁ = the given x coordinate

substituting the point (-10,1) and slope 3/2

y - y₁ = m (x - x₁)

y - 1 = 3/2 (x + 10)

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If f(-5)=0, what are all the factors of the function f(x)=x^3-19x+30? Use the remainder Theorem.

Answers

The requried other factors of the given function are (x - 2) and (x - 3).

What is the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
=  [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)

Thus, the requried other factors of the given function are (x - 2) and (x - 3).

Learn more about Factors here:
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need some help with this

Answers

The length of the missing side is 54.

What is Triangle?

Triangle is a closed polygon consisting of three sides, three vertices and three angles.

Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.

Given that ΔABC and ΔPQR are similar.

Let x be the side length of PR.

Ratio of their side lengths are equal.

AB : PQ = BC : QR = AC : PR

5 : 45 = 8 : 72 = 6 : x

Take the ratios 8 : 72 = 6 : x

⇒ 8 / 72 = 6 / x

Cross multiplying,

⇒ 8x = 72 × 6

⇒ 8x = 432

⇒ x = 432 / 8 = 54

Hence the side length missing is 54 units.

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Wilmer cashed his paycheck at Check Express. The fee at Check Express is 9% of the amount of the check. His paycheck was $291. How much was the fee for Wilmer to cash his paycheck?​

Answers

Answer:

$26.19

Step-by-step explanation:

9% as a decimal is 0.09.

So, the fee is [tex](291)(0.09)=\$26.19[/tex].

Answer:

$26.19

Step-by-step explanation:

.09 x 291 = 26.19

Shana wants to buy a music player. She has $100 cash.

1. Can she afford a $79 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer:

Answers

Answer:

Yes

Step-by-step explanation:

A $79 unit plus HST will be 89.27

A company is expanding its building area from 13,000 square feet to 18,720 square feet. What is the percentage increase of the area of the building space?
A.
44%
B.
56%
C.
57.2%
D.
4.4%

Answers

18720-13000=5720

5720÷13000=0.44

Therefore,option A is correct,i.e.,44%

An engine spins a wheel with radius 5 inches at 800 rpm. How fast is this wheel spinning in miles per hour?

Answers

The wheel is spinning at 23.80 miles per hour

How determine how fast the wheel spinning in miles per hour?

The wheel speed in miles per hour can be calculated using the expression below:

Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),

where r is the radius of wheel , 60 converts minute to hour and 63360

converts inches to miles

Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)

Speed in miles per hour = 23.80 miles per hour

Thus, the wheel spins at  23.80 miles per hour

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The diameter of a circle is 38 centimeters. What is the circle's area?
Use 3.14 for ​. SHOW WORK IF YOU ATTACH A FILE YOU ARE GOING TO GET REPORTED

Answers

Answer:

area of a circle ⭕= πr²

radius = diameter ÷2;

radius = 38÷2

radius = 19

3.14 * 19²

= 1133.54 cm²

Find the trigonometric ratios for both acute angles in fraction and decimal form to the nearest ten-thousandths when appropriate.

Answers

The trigonometric functions are sin A = 12/13, sin B = 5/13, cos A = 5/13, cos B = 12/13, tan A = 12/5, and tan B = 5/12 as fractions.

What are Trigonometric functions?

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric functions are given in the question

Apply the sine ratio on the given right triangle

⇒ sin(θ) = Perpendicular/hypotenuse

sin A = BC/AB

sin A = 12/13

sin B = AC/AB

sin B = 5/13

Apply the cosine ratio on the given right triangle

⇒ cos(θ) = Base/hypotenuse

cos A = AC/AB

cos A = 5/13

cos B = BC/AB

cos B = 12/13

Apply the tangent ratio on the given right triangle

⇒ sin(θ) = Perpendicular/Base

tan A = BC/AC

tan A = 12/5

tan B = AC/BC

tan B = 5/12

Learn more about Trigonometric functions here:

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Help me please!! please

Answers

Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.

Step-by-step explanation:

5
Which fraction is equivalent to 20
?
N

Answers

Answer:

4/20

Step-by-step explanation:

I believe the fraction 1/5 is equivalent to 20.

Determine whether the triangle can have sides of the given lengths. 3 cm. 10 cm. 8 cm​

Answers

Answer:

Yes

The inequality of the triangle:

[tex]a < b+c,\ b< a+c,\ c<a+b[/tex]

Step-by-step explanation:

[tex]10<3+8[/tex]

[tex]3<10+8[/tex]

[tex]8<10+3[/tex]

The inequality works, therefore these sides can make a triangle

2 IMAGES BELOW PLEASE HELP!

Answers

Answer:

B

Step-by-step explanation:

Minimum: 4

Lower Quartile (Q1): 7

Median: 9

Upper Quartile (Q2): 13

Maximum: 14

Step-by-step explanation:

B.

you can see by the box plots and notice that A doesn't have the same

Please look at picture please help!!

Answers

Answer:

8,167.14 m²

Step-by-step explanation:

Given:

Diameter = 102 m

Required:

Area of circle

Solution:

Area of a circle = πr²

Where,

π = 3.14

r = ½(102) = 51 m

Plug in the values

Area = 3.14*51²

Area = 8,167.14 m²

Help me with this question please! NO FILES!

Answers

Answer: i don't know

Step-by-step explanation:

i need points but good luck

Beginning from a depth of 35 feet below the surface, a whale swims upward and jumps to a height of less than 17 feet above the surface. Use an inequality to model the possible change in the number of feet, r, of the whale's elevation.​

Answers

Answer:

R=17

Step-by-step explanation:

R=17

It says the whale has swam upwards and jumps to a heigh less then 17 and it says model the possible change in the number of feet, (R)

Thus R=17 Will Be correct

find area of this parallelogram

Answers

Answer:

168

Step-by-step explanation:

Mark as Brainliest

168 is the correct answer

5 cm
7 cm
9 cm
12 cm
Work out the perimeter of this shape.

Answers

Answer:

33 cm

Step-by-step explanation:

Perimeter formula = l + l + w + w, or l x w

Just add all the sides whch equals 33

Answer: 5 cm + 7 cm + 9 cm + 12 cm = 33 cm; Perimeter = 33 cm

Step-by-step explanation:

To find the perimeter of a shape, all you need to do is add up the measure of all the sides.

find the measure of angle x in each of the following figure​

Answers

Answer:

x = 114

Step-by-step explanation:

180 - 66 = x

x = 114

Have a nice day!

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