A rectangular parcel of land has an area of 8,000 ft2. a diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. what are the dimensions of the land, correct to the nearest foot? ft (smaller value) by ft (larger value)

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the area of the rectangle be Length × width

LW = 8000

If the diagonal is 10feer greater than one of its length then:

D = 10+L

Diagonal is represented using the Pythagoras theorem as shown:

D² = L²+W²

(10+L)²= L²+W²

100+20L +L² = L²+W²

From LW = 8000

W = 8000/L

100 + 20L = (8000/L)²

100 +20L = 64,000,000/L²

Cross multiply

100L² + 20L³ = 64,000,000

2L³+10L² = 6,400,000

L³+5L² = 3200000

L³+5L² -3200000 = 0

Answer 2

Answer:

55 ft by 146 ft

Step-by-step explanation:

Given the following :

Area of rectangle = 8000 ft^2

Area of rectangle = length(L) * width(W)

Let length of a side = x

Length of side 2 = 8000 / x

Diagonal = 10 feet longer than one side = (x + 10)

The diagonal is the hypotenus = (x + 10)²:

Hyp² = (8000/x)² + x²

(x + 10)² = (8000/x)² + x²

x² + 20x + 100 = 64,000,000 / x² + x²

20x + 100 = 64,000,000 / x²

(20x + 100) * x² = 64,000,000

20x³ + 100x² - 64,000,000 = 0

x³ + 5x² - 3200000 = 0

Using calculator

x = 145. 71 = 146 ft

8000 / x

8000/145.71

= 54.9 ft

= 55ft

55ft by 146 ft


Related Questions

Needs to be done today plz help!!

Answers

Here are the answers.

Justin is buying a cell phone that had a wholesale price of
$495. The cell phone was marked up 25%.

What is the selling price of the cell phone?

Answers

Answer:

$371.25

Step-by-step explanation:

If you want to take away 25%, you would need to find out how much 75% of the current price is. IF you think about it, 75% of the $495 is 25% of 100% of it taken away.

So

0.75 x 495 = 371.25

What’s -24+16 divided by -4


Answers

Answer:

2

Step-by-step explanation:

-24 + 16 = -8

-8/-4 = 2

REMEMBER a - and a - = a +

or a negative and a negative equals a positive

Write an equation for a line with a slope of 2/3 and passes through point (0,4) in slope intercept form.

Answers

Answer:

5 and 6 is slope of two/three

pls explain it,,,,,,,,,,,,

Answers

Answer:

B. not a function

Step-by-step explanation:

y has 2 solutions: +√1-6x and -√1-6x

For y to be a function, it should only have one solution. That's why y is not a function.

Hope it will help :)

The perimeter of PRST is 10 more than 5(RS). If PR=26, find RS.

Answers

Answer:

RS = 14

Step-by-step explanation:

Perimeter = 26 + 26 + PT + RS

We know that PT and RS are equal to each other so I changed the equation to 26 + 26 + x + x = 10 + 5x and then I got x by itself and the integer on one side 42 = 3x, so 14 = x

The value of RS will be 14 for the given parallelogram.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

Given the parallelogram where TS ║ PR and both are equal

Line TP ║ SR so it means TP = SR

Let's say

TP = SR = x

Now,

The perimeter of a parallelogram is 10 more than 5(RS)

So,

PT + TS + SR + RP = 5(RS) + 10

Now since TP = RS = x

So,

x + TS + x + RP = 5x + 10

5x - 2x = TS + RP - 10

x =  (TS + RP - 10)/3

Now,

TS = RP = 26

So,

x = (26 + 26 - 10 )/3

x = 42/3

x = 14

Hence "The value of RS will be 14 for the given parallelogram".

Learn more about parallelograms ​here

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The James County Fair costs $11.00 to get in and $1.50 per ride, while the Moore County Fair costs $5.00
to get in and $3.00 per ride. Which equation could be used to determine how many rides you would need
to go on for both fairs to be of equal value?

Answers

Answer:

lvkykcjfcj

Step-by-step explanation:

simplify 4y - 8y2 + 9y - 7y2.

Answers

Answer:

D is the answer

Step-by-step explanation:

4y - 8y² + 9y - 7y² ( collect like terms)

13y - 15y²

Hope this helped!!!

Answer:

-15y^2+13y, option d

Step-by-step explanation:

Technically the term with the highest exponential value should be in the front, so that's why I wrote it like that... but d is correct

the categories this number belongs to: 9√

Answers

I think U gave an incorrect question

Laurie earns $7.50 per hour at the fruit stand plus an extra $2.00 per hour on Sundays. One week in August, she worked on Sunday, Monday, and Wednesday. She worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, how many hours did Laurie work on Monday? Enter and solve an equation.

Answers

Answer:

Hi there!

Your answer is:

She worked for 3 Hours on Monday.

Step-by-step explanation:

7.5$ per hour

7.5+2$ per hour on Sundays.

In August:

Sunday, Monday, Wednesday.

# of hours for Monday =Wednesday

Sunday= 4 hrs (which would mean 9.5$ * 4)

Monday and Wednesday will be modeled by X

X + 38$ (earned sunday)= 83$

-38

X= 45$

Since X represents BOTH monday and wednesday, divide by 2

45/2 = 22.5$

CHECK YOUR WORK

22.5$ (monday) + 22.5$ (wednesday) + 38$ (sunday)= 83???

45=38=83???

83=83 YES

Now, to determine how many hours that is, we divide the earned wages by the wage per hour.

22.5 / 7.5 = 3 HOURS

CHECK YOUR WORK

3 hours * 7.5 per hour = 22.5???

22.5 = 22.5 YES

Hope this helps

If she worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, the number of  hours that Laurie work on Monday will be: 3 hours

$7.5= 1 hour  Other days

$9.50 or ($7.50+$2.00) = 1 hour Sunday

Let Sunday= 4×$9.50 =$38

Let Monday= x × $7.5=$7.5x

Let Wednesday= x × $7.5=$7.5x

Let Total earning=$83

Let x represent the number of  hours

Hence:

First step  is to formulate

7.5x+7.5x+38=83

Second step is to calculate how many hours did Laurie work on Monday

x =83-38÷ 7.5+7.5

x=83-38÷15

x=45÷15

x=3 hours

Inconclusion If she worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, the number of  hours that Laurie work on Monday will be: 3 hours

Learn more here:

https://brainly.com/question/12506050

I need the answers for 21 and 23 please
:(

Answers

Answer:

21. d=2, YZ=16

23. a=6, YZ=38

Step-by-step explanation:

Can someone please help me with this problem

Answers

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

9. the water temperature at the beach

Answers

Answer:

79 degrees

Step-by-step explanation:

No Explanation

79 degrees. Give brainliest :)

If you invest $25.00 at 6% interest compounded monthly,
how much will you have after 1 year?

Answers

A=25(1+0.06/12)^(12)(1), A=25•1.005^12, A=26.54

32+8x
Simplify the following expression using the distributive property:
4.
(a) 28 + 4x
(c) 8 + 2x
I
(b) 36 + 12x
(d) 10x
Would it be answer b? :(

Answers

It would be *C* because you are trying to find what 8x and 32 divide each other by so you would do 4 since its the highest then your answer would be *8+2x*
Hope this helps

Please read where it states “point S is in between points R and T” thank you

Answers

Answer:

RS: 26

ST: 40

Step-by-step explanation:

RS + ST = RT

3x - 16 + 4x - 8 = 60

3x + 4x - 16 - 8 = 60

7x - 24 + 24 = 60 + 24

7x = 84

7x / 7 = 84 / 7

x = 12

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

RS

3x - 16

3 (12) - 16

36 - 16

20

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

ST

4x - 8

4 (12) - 8

48 - 8

40

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

RS + ST = RT

20 + 40 = RT

60 = RT

The temperature was –30 C last night. It is now -40 C. What was the
change in temperature?

Answers

Answer:

-10 C

Step-by-step explanation:

It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.

Answer:

temperature decreased

more

Will mark brainliest

Answers

Answer:

B or 32 m/s is the correct answer have a nice day!   :)

Answer:

That baseball is thicc.

Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 3 days. It costs $48 per day to rent the tiller. She also buys a rake for $5. Part 1 out of 2 Find the change to the value of her gift card. The value on her gift card decreased by dollars.

Answers

Given :

Arleen has a gift card for a local lawn and garden store. She uses the gift card to . It costs $48 per day to rent the tiller. She also buys a rake for $5.

To Find :

The value on her gift card decreased by how many dollars.

Solution :

Decrease in dollar is given by :

[tex]D =\text{ rent a tiller for 3 days+ price of rake}\\\\D= \$( 48\times 3 + 5)\\\\D = \$149[/tex]

Therefore, the value on her gift card decreased by 149 dollars.

Hence, this is the required solution.


You want to spend at most $1200 on a new laptop. If you make a $400 down payment,
then pay the same amount every month for 12 months. Which Inequality could be use
to solve to find out how much you can pay each month.
12x + 400 < 1200
12x + 400 < 1200
12x + 400 1200
12x + 1200 > 400

Answers

Answer:

12x+400 [tex]\leq[/tex] 1200

Step-by-step explanation:

At most means it has to be the exact number or less. So, the inequality sign would be less than or equal to.

Hope this helps!! c:

Ccffdndmsbsmsvsnsbsdndn

Answers

Answer:

what is this tell me it is for asking ansee

A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?

Answers

Answer:

it will be $80.00 and your saving $20.00

Step-by-step explanation:

4x + 8 = 36 linear equations

Answers

to solve a linear equation, isolate the variable. we can do so by subtracting 8 from each side and then dividing by 4

4x + 8 = 36
4x = 28
x = 7

Answer:

7

Step-by-step explanation:

4x=36-8

4x=28

x=7

the difference between the highest and lowest observation is known as​

Answers

Answer:

I believe the difference between the highest and lowest observation is known as range.

Answer:

Step-by-step explanation:

The difference between the highest and lowest observation is known as​ Range

Which of the following r-values represents the strongest correlation?
O A. -0.51
B. -0.61
C. -0.41
D. -0.71

Answers

Answer:

Step-by-step explanation:

-0.71

The r - value -0.71 represents the strongest correlation which is negative correlation.

What is the correlation coefficient?

The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.

For the given situation,

The options has the r - values, we need to check which option represents the strong correlation.

Now., The relationship between two variables is generally considered strong when their r value is larger than 0.7.

A correlation of r = -0.71 suggests a strong, negative association between two variables.

A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

Hence, we can conclude that the r - value option (D) -0.71 represents the strongest correlation which is negative correlation.

Learn more about correlation coefficient here

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what does democracy mean and how do we practice it in the United States of America ​PLEASE HELPPP!!!!

Answers

Answer:

a system of government by the whole population or all the eligible members of a state, typically through elected representatives. The United States is one of the world's developed democracies where third parties have the least political influence. The federal entity created by the U.S. Constitution is the dominant feature of the American governmental system.

Step-by-step explanation:

<
In solving the equation, 2x + 5 = 33, the following steps and reasons are given.
Steps
Reasons
1. 2x + 5 = 33
1. Given
2. (2x+5)-5-33-5
2. Subtraction property of equality
3. 2x +(5-5) -33-5
3. ?
4. 2x + 0 = 28
4. Additive inverse property
5. 2x - 28
5. Identity property of addition
2x 28
6.
6. Division property of equality
2 2
7. x=14
7. Substitution
+
Which of the following applied properties correctly justifies step #3?
O Associative Property of Addition
O Commutative Property of Addition
10
O Subtraction Property of Equality
Additive Inverse Property

Answers

Answer:

i think it is Associative Property of Addition

Step-by-step explanation:

Your cousin plays point guard for her community basketball team. When she plays in a game, four out of every seven baskets she scores for her team are lay-ups.
If, during a month of playing in basketball games, your cousin makes twenty four lay-ups, how many total baskets did she score for her team?

Answers

Answer:

12

Step-by-step explanation:

count to 69 and you got 12 lay ups

Answer:

12

Step-by-step explanation:

The inequality below is equivalent to which of the following

7-(2/3)x 9

A.x>9

B.X>-35

C.x<9

D.x<-35

Answers

Your answer will be C. :)

A person invested $8,800 in an account growing at a rate allowing the money to
double every 15 years. How much money would be in the account after 4 years, to the
nearest dollar?

Answers

Answer:10587

Step-by-step explanation: better than original answer

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