A rectangular field is twice as long as breath .A path of uniform widthh 2m is running inside the field . If the cost of constructing the path is rs40per sq m is ra 13760 find the area of the field

Answers

Answer 1

Answer:

1800 m²

Step-by-step explanation:

Since the cost of constructing the path at rs 40 per sq m is rs 13760, if A is the area of the path then we have

rate × area = cost

area = cost/rate = 13760/40 = 344 m²

Now, let L = length of rectangular field and B = breadth of rectangular field. So, its area is A'= LB. Given that L = 2B, A' = 2B × B = 2B².

Also, since the width of the path is 2 m, the inner field has dimensions L - 2 - 2 = L - 4 as length and B - 2 - 2 = B - 4 as breadth since we subtract 2 m from both ends of the each dimension.

So, the inner area is (L - 4)(B - 4) = (2B - 4)(B - 4) = 2B² - 8B - 4B + 16 = 2B² - 12B + 16.

The area of the rectangular field is thus the inner area plus the area of the uniform path

So, 2B² - 12B + 16 + 344

We equate this the the area of the rectangular field. So,

2B² - 12B + 16 + 344 = 2B²

- 12B + 16 + 344 = 2B² - 2B²

- 12B + 360 = 0

- 12B = -360

B = -360/-12

B = 30 m

Since the area of the field A' = 2B²,

A' = 2(30 m)²

= 2(900 m²)

= 1800 m²


Related Questions

please help me asap i’ll give you a thanks and 10 points

Answers

Answer: B)
Explanation: when rotating a point a 90 degree counter clockwise origin a(x,y) becomes a’(-y,x) meaning you switch the x and y and make the y negative

Janet had 42 marbles. ⅚ of them were blue. The rest were red. How many marbles were blue?

Answers

Answer:

35 marbles were blue

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

The sum of three consecutive integers is 9. What is the equation that represents the scenario?
a.n + (n + 1) + (n + 2) = 9
b.n – (n + 1) – (n + 2) = 9
c.n + (n – 1) + (n – 2) = 9
d.n=9

Answers

Answer:

a is correct ................

Solve for x. Round your answer to the nearest tenth

Answers

Answer:

6.1

Step-by-step explanation:

tan 27° = x/12

x = 12 · tan 27°

x = 6.1

Sam has 1 3/4 quarts of orange juice.
He is pouring it into glasses that
each hold 1/4 quart. How many glasses can he fill?
glasses can he fill?

Answers

He can fill 7 glasses because 1/4 can go into 3/4, three times and 1/4 can go into 1, four times ( 1 is the same as 4/4) then add 3+4 which equals 7.

For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices (milk, juice, or water).

How many different combinations could students create using one meat, one potato, and one drink?
- 8
- 9
- 11
- 15
- 18

Answers

Answer:

18

Step-by-step explanation:

[tex]3 \times 2 \times 3[/tex]

That will give you 18 which is the answer

18 , if you multiply 3 x 3 x 2 = 18

please please help! :)

Answers

Answer:

assuming the shape is a square

1. 90 degrees

2. 45 degrees

3. 45 degrees

4. 90 degrees

Step-by-step explanation:

maths and angles

i need help with this question

Answers

The question isn’t up there.

(2^3//4^2)^5 What is the equivelant expression?

Answers

Answer:

A

Step-by-step explanation:

This is the same as ((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2)) which is equal to (2^(3+3+3+3+3)/4^(2+2+2+2+2)), so its (2^15/4^10)

Answer:

You could say 10/15-12/15.

Step-by-step explanation:

Please help me and show work.

Answers

Answer:

80.5π cm

Step-by-step explanation:

We want to find the area where the label should go onto the can. If we were to take the label and flatten it onto a 2D surface, we would multiply 11.5 cm by the width, which is equivalent to the circumference of the circle. The circumference of the circle can be calculated using the equation 2πr. The radius is 3.5 cm, so the circumference of the circle is 7π. We multiply 7π by 11.5 to get 80.5π cm.

what is the value of x? i need the work for it as well thank you so much!

Answers

the answer would be x=19

Answer:

x=19

Step-by-step explanation:

okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.

6x+4=118

subtract 4 from both sides

6x=114

divide by 6 on both sides

x=19

Hope this helps!

If I multiply the number by 4 and then subtract 1, I get the same answer and then add 9
*The number is x
Write it as an equation.​

Answers

Answer:

12 .

Step-by-step explanation:

12

( x * 4 ) - 1 = 9 i might be wrong since your wording in the “ I get the same answer and then add 9 “ is a bit confusing

helppp I’m not good with this stuff lol

Answers

Answer:

that is you my question is wrong for me

PLEASE HELP!!!!!!! NEED THIS ASAP

Answers

Answer:

174

Step-by-step explanation:

72+72+10+20+ 174

3. Lizbeth has a lunch box in the shape of a rectangular prism that
measures 11.5 inches in length and 7.2 inches in width. If the lunch box is 4
inches tall, calculate its volume in cubic inches.

Answers

Answer:

do 11.5x7.2 that will get you your answer then after that when you get that answer you will divide that by 4

Step-by-step explanation:

Help me, please!!!!!!!!!

Answers

Answer:

x ≈ 17.32, y = 20

Step-by-step explanation:

sin (30°) = 10/y

=> y = 10/sin (30°)

=> y = 20

x = [tex]\sqrt{20^{2} - 10^{2}}[/tex]

=> x ≈ 17.32

A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?

Answers

Answer:

1440

Step-by-step explanation:

you have to do length x width x height

What is the percent of each? Please help!!

Answers

Answer:

1 Cards = 36%

2 Cards = 28%  

3 Cards = 24%

4 Cards = 12.5%

Step-by-step explanation:

Find the height of a cylinder when the surface area is 1004.80 cm squared and the radius is 10 cm.

Answers

Step-by-step explanation:

[tex]volume =\pi {r}^{2}h[/tex]

[tex]area = \pi {r}^{2} [/tex]

CALCULATION

remember

[tex]\pi = 22 \div 7[/tex]

So, we will just place the area and equate it to the unknown volume including the height

1004.80 = 22/7 × 10× 10 × h

1004.80 = 314.26h

h = 3.197

Our club has 10 members, and we need to appoint a president, a vice president, and a secretary. How many ways can we do this if: Each member can hold at most one office. Members can hole any number of offices

Answers

Answer: 720

Step-by-step explanation:

Given

A club has 10 members and needs one president, a vice president, and a secretary

There are 10 positions for president i.e. 10 ways to select a member for it

Similarly, there 9 persons left to choose a position for vice president

likewise 8 persons for secretary

Total no of ways to do it are

[tex]\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}[/tex]

can someone help me??

Answers

Answer:

8) 10 15/16 ft³

9) 20 5/6 ft³

Step-by-step explanation:

Volume of a rectangular prism is

l * b * h,

Question 8

We're given the area

Area = l * b

So we substitute the area for length and breadth.

Volume = Area * height

Volume = 4 3/8 * 2 1/2

Volume = 35/8 * 5/2

Volume = 175/16

Volume = 10 15/16 ft³

Question 9

Volume = 5 * 1 2/3 * 2 1/2

Volume = 5 * 5/3 * 5/2

Volume = 5 * 25/6

Volume = 125/6

Volume = 20 5/6 ft³



What is the value of the expression 4(80+ b) - 12, where b=20?
Α. 328

Β. 352
C. 388

D. 412

Answers

Answer:

B. C which is the answer.

Answer:

Step-by-step explanation:

c=388

PLEASE HELP ME WITH THIS ALGEBRA PROBLEM!!

Answers

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

1. Bill wants to buy coffee for his class at the LePhooPhoo Coffee Shop. He needs to buy 30 cups of coffee. The large coffees cost $4 and the medium coffees cost $3. If he spends $102 on coffee, how many of each size coffee did he buy?​

Answers

Answer:

large = 12

medium = 18

Step-by-step explanation:

L + M = 30 => L = 30-M

4L+3M =102

substitute : L with M

=> 4(30-M)+3M =102

120-4M+3M = 102

- M = 102-120

-M = -18

=========> M = 18, L = 12

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

Answers

Answer:

1 < x < 12

Step-by-step explanation:

The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.

Thus,

33 > 3x - 3

Solve for x

33 + 3 > 3x - 3 + 3

36 > 3x

36/3 > 3x/3

12 > x

To ensure the angle is not 0 or negative, thus:

3x - 3 > 0

Solve for x

3x - 3 + 3 > 0 + 3

3x > 3

3x/3 > 3/3

x > 1

Possible range of values of x would be:

1 < x < 12

Between 06 00 and 10 00,the same day ,the volume of water in a reservoir decreased from 24 000L to 18 000L.What was the average rate of decrease in volume of water, giving your answer in L/h?

Answers

Answer:

-1.5 L/h

Step-by-step explanation:

The volume of water in a reservoir decreased from 24.000L to 18.000L between 06.00 and 10.00.

We need to find the average rate of decrease in volume of water. It can be solved as follows :

[tex]Rate=\dfrac{18-24}{10-6}\\\\=-1.5\ L/h[/tex]

The negative sign shows the decrease in volume. Hence, the rate of decrease in volume of water is 1.5 L/h.

Write An Equation in Point-slope form for the line through the given point with the given slope "(-7,9);m=4/5"​

Answers

Answer:

y-9=4/5(x+7)

Step-by-step explanation:

Point slope for is y-y1=m(x-x1). In this case, y1 is 9, x1 is -7, and m is 4/5. Therefore, we can fill in this equation. The equation will be y-9=4/5(x--7) This is equal to y-9=4/5(x+7).

If this helps please mark as brainliest

HELP ME OUT GUYS!!!! Question is in the screenshot below.

Answers

Answer:

87.55 [tex]cm^2[/tex]

Step-by-step explanation:

Solve for xx. Leave your answer in simplest radical form.
3
8
x
2


ANSWER ) x = sqrt51

Answers

This answer is 76 let me know if I’m wrong

PLEASE ANSWER STRAIGHT AWAY

Answers

Answer:

The 4 packe is better value.

Answer:

The 4 pack has better value.

Step-by-step explanation:

To find the toilet roll price, divide by the number of rolls.

2.04 ÷ 4 = 0.51

4.68 ÷ 9 = 0.52

0.52 > 0.51

So, the 4 pack has better value.

Have a wonderful day! :)

Other Questions
Complete this problem to test your note-taking skills.Ask a friend to read a short story or article aloud to you.Prepare yourself to listen and take notes.When you finish your notes, use this checklist:Did you prepare yourself for listening by clearing your mind of situations which would keep you from focusing?Did you show courtesy to your friend when he read to you?Did you understand the problem or issue presented?Did the story or article create mental pictures?Did you find the main supporting ideas?Did you discover the conclusion or final decision?Tell the story to your friend to show how well you listened. You may use your notes. Ask your friend to tell you if your notes were thorough. If you need more practice, have your friends read another story and go through the same procedures.Type the notes in the space below and show your teacher the story or article from which your notes came. Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write each answer as a fraction, percent, and decimal. P(less than 5) P(greater than 3) P(odd) P(even) P(not a multiple of 4) P(not 5, 6, 7, or 8) P(divisible by 3) Please help me this is due today please if not i will have C and i need to read it tomorrow for zoom please will mark brainiliest writing a "20/21 Memorandum Poem"Title20 lines or moreMust use rhyme scheme (a pattern of rhymes) what are the major change in communication 4 types of market efficiency measures. Sixteen stations, numbered 1 through 16, are contending for the use of a shared channel by using the adaptive tree walk protocol. If all the stations whose addresses are prime numbers suddenly become ready at once, how many bit slots are needed to resolve the contention y'all -please help I have been on this question for like 20 mins The balance in retained earnings at December 31, 2020 was $1440000 and at December 31, 2021 was $1168000. Net income for 2021 was $1008000. A stock dividend was declared and distributed which increased common stock $499000 and paid-in capital $99000. A cash dividend was declared and paid.The amount of the cash dividend was:___________a) $381000.b) $781000.c) $682000.d) $1280000. 8. Best synonym for usurp: I need help everyone How do you say what is your favourite colour in French Answer the following questions in Spanish Hey, does anyone on here know what the some severe possible side effects of the pfizer Co.vid-19 vaccine shot could be? Write a program that will create an array of random numbers and output the values. Then output the values in the array backwards. SPECIFICATIONS: File name: ArrayBackwards.java Your program must make use of at least one method other than main()to receive full credit (methods can have a return type of void). Suggestion: create and populate the array in the main() method. Make a method for Step 3 below and send in the array as a parameter. Make another method for Step 4 and send in the array as a parameter. Move exactly two match sticks to make a prime number. How many different ways can you find to do this? An ecological footprint A) is a means of determining increases in populations that lived in the past. B) is a means of understanding resource availability and usage. C) measures dispersion and adaptability. D) will estimate population movements. Can someone pleasee help me with this asap!! Im struggling pls answer I will give brainiest to first response Read the sentence.Karen decided to reorganize the ideas in her science paper when her tutor told her that the report lacked coherence.What is the meaning of the word coherence as it is used in the sentence?punctualityrelevanceunitycompletion Law of reflection!!!!!!!!!!