A banner in the shape of an isosceles triangle is hung over the side of a building. The banner has a base of 30ft (at the roof), a height of 20ft, and weighs 50lb. Write down an integral for the work required to lift the banner entirely onto the roof of the building.

Answers

Answer 1

Answer:

W = 9600000 joules

Step-by-step explanation:

From the given information:

The area of the banner = 1/2 × 30 × 20 = 300 ft²

The mass of the banner = 300 × 50 = 15000 pounds

Now; the integral for the required work is:

[tex]W = \int^h_o F \ ds[/tex]

here;

h = height of the building

F = mg = 15000g

g = 32 ft/s²

Therefore;

[tex]W = \int ^h_o 15000g \ ds[/tex]

[tex]W = \int ^{20}_0 \ 15000 (32)(20)[/tex]

W = 9600000 joules


Related Questions

Given this recursive rule : a^n=a^n-1 +6 where your a^1 =-13 . Find the next 4 terms in this sequence. Show your work to plzzzzzz help idk this I’m terrible at math...thx

Answers

Answer:

I think its c But i may be wrong

Step-by-step explanation:

A company paid $ 391 for 15 bushes and 8 bonsai trees . They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 . What is the cost of each bush and bonsai tree ? the boxes below .

Answers

Answer:

Cost of one bush = x = $9

Cost of one bonsai tree = y = $32

Step-by-step explanation:

Let Cost of one bush = x

Cost of one bonsai tree = y

From the expression: A company paid $ 391 for 15 bushes and 8 bonsai trees

We made equation: [tex]15x+8y=391[/tex]

and From the expression: They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 , we made equation: [tex]9x+5y=241[/tex]

Solving both equations simultaneously we can find value of x and y

Let:

[tex]15x+8y=391--eq(1)\\9x+5y=241--eq(2)[/tex]

We will use elimination method to solve these equations.

Multiply eq(1) by 5 and eq(2) by 8 and subtract

[tex]75x+49y=1955\\72x+40y=1928\\- \ \ \ - \ \ \ \ \ \ \ -\\--------\\3x=27\\x=\frac{27}{3}\\x=9[/tex]

So, value of x=9

Now finding value of y by putting value of x in equation 1

[tex]15x+8y=391\\Put \ x=9\\15(9)+8y=391\\135+8y=391\\8y=391-135\\8y=256\\y=\frac{256}{8}\\y=32[/tex]

So, value of y=32

Cost of one bush = x = $9

Cost of one bonsai tree = y = $32

What number makes this set not a function?
(-1,7) (1,7) (2,7) (-1,7)

-1
1
2
7

Answers

7 because 7 is the most common number
Answer: it’s 7
Explanation: 7 is the most common number

-6 + 2x = -10 what is x

Answers

Answer:

x = -2

Step-by-step explanation:

-6 + 2x = -10

+6            +6

2x = -4

Divide both sides by 2

x = -2

I hope this was helpful! <3

Could I get brainliest?

Which value of y makes the inequality 3y^2 +2(y-5)>8 true?

Answers

Answer: D

Step-by-step explanation:

A) 3*0^2+2(0-5)>8

-10>8 -> not true

B) 3*(-1)^2+2(-1-5)>8

3*1+2*(-6)>8

3- 12>8

-9> 8 -> not true

C) 3*(-2)^2+2(-2-5)>8

3*4+2*(-7)>8

12-14>8

-2> 8 -> not true

D) ) 3*(-3)^2+2(-3-5)>8

3*9+2*(-8)>8

27-16>8

11> 8 -> true

2 +2
6+6
794×890 ×572 ×89

e​

Answers

Answer:

2+2=4

6+6= 12

794*890*572*89=33145180640

Step-by-step explanation:

If you have a 59% in your class, and you take a test that is worth 200 points and it is 25% of your grade, and you get all 200 points, what does that bring your grade up to?

Answers

Answer:

84 percent I think

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

If each square in the grid has a side length of 8mm, what is the length and width of the rectangle?

PS: I NEED IT RIGHT NOW

Answers

Answer:the explanation hopes this helps!!!

Step-by-step explanation:

The question required attachment; however, follow the following steps to answer your question.

See Attachment

Considering the horizontal plane of the gird.

Count the number of the squares in that plane;

This gives 4

Multiply 4 by length of each side of a square;

If I have 3 basketball cards for every 6 baseball cards, then what is the ratio?

Answers

Answer:

3 to 6  3:6  3/6

Answer:

the ratio would be 3:6, or 1:2

Step-by-step explanation:

i got that by dividing 3, by 3, to get 1, and dividing 6 by 3, to get 2

so the ratio of basket ball cards to baseball cards is 1:2,

hope this helps

what is the slope of the line that passes through the points (26, 7) and (-39, 12)​

Answers

(12-7)/(-39-26) = 5/-65 = 1/-13
A is the correct response

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.

Answers

what i got -

15x + 12y ≥ 3000

how i got it -

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is  15x + 12y ≥ 3000

A pair jeans on sale for 20% off the sale price is $55 what is the original amount of the pair of jeans

Answers

Answer:

$66

Step-by-step explanation:

Answer:

the original price of the jeans

The price is 66+

Step-by-step explanation:

Find 20% of the jeans (11$) then add that 11$ to the price of the jeans.  final answer: $66

PLS GIVE ME BRAINLIEST AND A GOOD RATING :) glad to help

Select the correct answer. A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound? A. The frequency increases and the wavelength decreases. B. The frequency decreases and the wavelength increases. C. The frequency stays the same and the wavelength increases. D. The frequency stays the same and the wavelength decreases. E. Neither the frequency nor the wavelength is affected.

Answers

Answer:

The correct answer is E. Neither the frequency nor the wavelength is affected. Explanation: The wave frequency does not affect the speed of that wave. An increase in frequency of a wave causes a decrease in wavelength while the wave speed remains the constant. The speed of the waves is significantly higher at higher tensions.

Step-by-step explanation:

what is the realashionship between ceels and tissues

Answers

The relationship ship between cells and tissues is that a group of SIMILAR cells form a tissue so tissues consist of cells




That’s the similarity


Thank :)

33 + 19 - 11 + 26t2 - +2

Answers

33+19 -11 + 26t X 2 - 2 =52t + 39.

Solve for x in the equation x^2-10x+25= 35

Answers

The answer is in the SS below with the steps

Answer:

option B

Step-by-step explanation:

the person above me is correct. i got 100% on the quiz

Solve each problem.
a. What is -4.3 - (-6.8)?
b. What is
is 13 + (-210?
noints lose anothe

Answers

The answer is A
Hope this help!
A-2.5
B:-197
Merry Christmas

A hardware store sells power pack A, consisting of 4 D cells and 2 C cells for $12.60, and power pack B, consisting of 6 D cells and 4 C cells for $20.80. What is the price of each cell?

Answers

Answer:

The D cells are worth $2.20, and the C cells are worth $1.90.

Step-by-step explanation:

This can be written as:

4x + 2y = 12.60

6x + 4y =20.80

Our goal is to find one variable, then use that information to find the other.

If we multiply the top function by -1.5, we get:

-6x - 3y = -18.90

We can add this to the previous equation.

  -6x - 3y = -18.90

+ 6x + 4y = 20.80

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

             y = 1.90

The C cells are worth $1.90.

Plug this value into one of the other equations and solve for x.

4x + 2y = 12.60  

4x + 2(1.90) = 12.60

4x + 3.80 = 12.60  

4x = 8.80

x = 2.20

The D cells are worth $2.20.

Check these values in the other equation.

6x + 4y = 20.80

6(2.20) + 4(1.90) = 20.80

13.20 + 7.60 = 20.80

20.80 = 20.80

Answer:

  C = $1.90 each

  D = $2.20 each

Step-by-step explanation:

Given:

  Power pack A:   4D + 2C = 12.60

  Power pack B:   6D + 4C = 20.80

Isolate any one variable:

  4D + 2C = 12.60

  4D = 12.60 - 2C

  D = 3.15 - 0.5C

Substitution to find cost of C cell battery:

  6D + 4C = 20.80

  6(3.15 - 0.5C) + 4C = 20.80

  18.9 - 3C + 4C = 20.80

  18.9 + C = 20.80

  C = 1.90

Substitution to find cost of D cell battery:

  4D + 2C = 12.60

  4D + 2(1.90) = 12.60

  4D + 3.8 = 12.60

  4D = 8.8

  D = 2.20

Which arrangment shows 27/5,5 3/5, and 33/6 in order least to greatest

Answers

5 3/5, 27/5, 33/6 , hope I helped lmk if I got it right

whats the factor of this expression?
10x + 40y?

Answers

Answer:

10(x + 4y)

Step-by-step explanation:

factor of 10x + 40y

10(x + 4y)

Answer:

10(x + 4y)

Step-by-step explanation:

Solve for N
2/9n= −6

Answers

Answer:

n=-27

Step-by-step explanation:

Step-By-Step on how to solve it is in the image shown below.

Hope this helps! :)

Kareem but a new collar and a toy mouse for his cat. The collar cost $3.50, the toy mouse cost $2.70, and the tax was 5% how much change did Kareem get from a $10 bill?

Answers

Answer:

Kareem will get $3.49 in change from a $10 bill.

Step-by-step explanation:

3.50 + 2.70= 6.20

6.2 x .05= .31

6.20 + .31= 6.51

10.00 - 6.51= 3.49

$3.49

Do you like dough nuts or not I am just doing a survey

Answers

Answer:

nes

Step-by-step explanation:

Answer:

OFCOURSE

Step-by-step explanation:

PLs give brainlist mean the world

have a good day

range of 9, 27, 7,11, 13,21,5, and 14

Answers

89 − 5 =84

Answer:

84

Answer:

I got 18

Please correct me If I am wrong thxs.

Step-by-step explanation:

You subtact the high number to a low number

In this case 27 is the highest and lowest is 9


I think of a number multiply by 2 then subtract 9​

Answers

Answer:

-3

Step-by-step explanation:

I thought of the number 3

I multiplied it by 2

6

Then I subtracted 9

-3

:)

The length of a rectangular garden is 5 meters long. The area of the garden is 10 square meters.
Which equation correctly relates the given information and the width, www?

Answers

length=5 meters

area=10meters squared

area=length times width

10=L*W

10=5L

Length=2meters

Answer:

length=5 meters

area=10meters squared

area=length times width

10=L*W

10=5L

Length=2meters

Step-by-step explanation:

Help please!!

10. A garden has an area of 400 m².
The garden is divided into 16 congruent square plots.
What is the side length of each plot?

Answers

Answer:

Step-by-step explanation:

if the garden is a square, then it each side of the garden would be 20. if there's 16 congruent square plots, it means 4 sides of a plot per side of the garden, meaning that the side length of the plot would be 5 meters

The answer is 25 I know it

Angel's Door Dash order was $28.00.
He wants to leave the driver a 15%
tip. How much did Angel pay, including
tip?

Answers

Answer: 23.80

Step-by-step explanation:

Answer:

4 dollars and 2 cents

Step-by-step explanation:

PLEASE DON'T STEAL POINTS! the question gets marked as answered and ppl that actually can answer can't see it.


A mail man leaves home and rides his bike due east for two miles. He drops off a paper at a house. He then turns and travels for 1 mile on a street that is angled north from the first street by 35 degrees. He stops to rest. His pet bird escapes from home and flies directly to where he is resting. How far and in what direction does the bird fly?

Answers

Answer:

The  bird flies  35 degrees north for about 3 to 4 miles

Answer:

Step-by-step explanation:

tan35 = x/2

tan35(2) = .9476 miles, due northeast.

you have two sides and a angle, i used tan to find the opposing side of the turn of the street, which was angled at 35 degrees.

The graph models the value of an automobile over a 7 year period of time.
Which equation best represents the relationship between x, the age of the automobile in years, and y, the value of the automobile in dollars​

Answers

Answer:

y=-500x+22,000

Step-by-step explanation:

It's this one because the 22,000 shows the initial value of the automobile and -500x is how much value the automobile loses per year.

Answer:

Y = mx + c

C = 22,000

But slope is unknown

Y= mx + 22000

Other Questions
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are Life, Liberty, and the pursuit of Happiness. That to secure these rights, governments are instituted among men, deriving their just powers from the consent of the governed, that whenever any form of government becomes destructive of these ends, it is the right of the people to alter or to abolish it, and to institute new government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. American Declaration of Independence, 1776 Which of these Enlightenment ideas is found in the passage from the Declaration of Independence? A. Governments need checks and balances. B. People are born with natural rights. C. Democratic elections represent the people. D. Reason is the best way to find truth protonsneutronsatomic symbolatomic numberchemical elementAtoms are tiny pieces of matter that make up all the substances around you. All atomscontain one or more positively charged particles called, which arefound in an atom's nucleus. In many atoms, the nucleus also containswhich have no electrical charge. There are also small, negativelycharged particles called electrons found outside the nucleus. Together, these three typesof particles make up the structure of atoms.The number of protons in an atom is the atom'sWhen two atomshave the same atomic number, they are are classified as the sameAll known chemical elements are listed in the periodic table, where they are arranged byatomic number. The periodic table contains information about each element, oftenincluding a short version of the element's full name called its what is 35% as a fraction Alan chooses not to wear sunscreen because the oils build up on his skin. What is Alan trying to prevent, and what ishe failing to prevent?O Alan is trying to prevent skin cancer but failing to prevent acne.O Alan is trying to prevent acne but failing to prevent skin cancer.O Alan is trying to prevent psoriasis but failing to prevent eczema.O Alan is trying to prevent eczema but failing to prevent psoriasis HELP NOW! I will give 20 points and brainliestRead this passage from Liesl's brother's diary.I draw pictures of New York in my diary every night. Every time I think about New York, my legs jitter with excitement. Everything will be so new and different! I practice English with everyone I know, even with my family who still wants to speak to me in German. I'm starting to think in English and can't wait until English is all I speak. People walk around here like they are sad, but I couldn't be happier. I think I've already forgotten my life in Hamburg. Ellis Island, here we come!In the first paragraph of "A Letter from the Atlantic," Liesl says that "there's a pit in [her] stomach" when she thinks about life in New York.How does Liesl's viewpoint conflict with that of her brother?Liesl feels sick when she thinks about life in New York, while her brother feels anxious about learning English.Liesl is worried she will not make friends in New York, but her brother is already preparing to meet English-speaking friends.Liesl wishes that her family didn't have to move to New York, while her brother understands their reasons for moving.Liesl feels anxious regarding her new life in New York, but her brother is excited about the prospect of a new and different life. Find the value of f(5) for each function. f(x) = -2 (x + 1) All of the following expressions simplify to -5x + 7, except ( x - 2) - (6 x - 9) (5 x + 1) - (-10 x + 6) -4 x + 2 x + 7 - 3 x (4 x + 3) + (-9 x + 4) hurry will give brainlest Five more than the product of a number and 9 is equal to 7. b) (-4,-2) and (-3,5)slope intercept form solve for b Explain ONE difference between the economic development of Portugal and the economic development of China in the period 1450-1750. Please tell me the answer and explain SOMEONE PLS HELP ASAP!!!!! Clare has 60% of her goal of $80 saved for her trip. How much did she save so far? Which expression has exactly two terms 4n or 5y2 or 3x + 5 or a + b + 2 Write the correct informal command and direct/indirect object pronouns.Example: Comer un pizza= cmelaHacer la cama The answer is Moreover. Which equation below and solution for X does the model represent??A) 2x + 2x = 85, x = 42.50B) 4 + x = 85, x = 21.25C) x + x + x + x = 85, x = 21.00D) 4x = 85, x = 21.25 The image below shows the process of DNA replication. Identify the components of the process. A seed-bearing plant starts its growth from:the joining of egg and sperm cellsan egg cella sperm cell What element of a research project can help you know what to include in summaries of sources?your thesis statementyour notesyour topicyour conclusions