A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.

Answers

Answer 1

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Length = 500 ftWidth = 30 ft

Recall:

Area of rectangle: A = length x width

Given:

Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470

Required:

Dimensions of the field (the length and the width).

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

Solve for l

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

Factorize

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Plug in the value of l

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Length = 500 ftWidth = 30 ft

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Related Questions

solve pls brainliest

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Answer:

4.5341 < 6.9 < 6.906 < 6.96

Step-by-step explanation:

4.5341 is closer to 0 than 6.96 is.

Select the shapes that are similar to shape A

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Answer:

Orange and pink, I'm not too sure

Answer:

Orange and pink.

Step-by-step explanation:

Because there shapes are same.

Write the equation that shows the relationship in the table

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Answer:

y= 20x

Step-by-step explanation:

[tex]40/2=100/5=200/10=20[/tex]  linear function.

I hope this help you

Given the relation shown in the table below :

Answers

Answer:

domain: -7, -1, 0, 1

Range: -1, 0, 1, 2, 7

Step-by-step explanation:

I don't know the drop-down menu choices so I can't answer that one for you sorry :(

But I hope this helps :)

The population of Westport was 43,000 at the beginning of 1980 and has steadily decreased by 1% per
year since.
Find the population at the beginning of 1994. Round to the nearest person.

Answers

Answer:

37356

Step-by-step explanation:

4.72 × 3.4 equals what? Show work please ro gelp me understand

Answers

The answer is 16.048
The red line is the decimal point

If 400 kids went to the amusement park and only 120 came back how many got lost?

Answers

Answer:

280

Step-by-step explanation:

400 - 120=280

280= number of children lost

On Sunday a local hamburger shop sold a combined total of 231 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the amount of hamburgers sold. How many hamburgers were sold on Sunday?

Answers

Answer: 77 hamburgers

Step-by-step explanation:

You can write an equation for this problem

x= hamburgers

2x= cheeseburgers

x+2x=231

3x=231

x=77

Karan uses
of a tin of baby food each day for her baby.
Karan and her baby are going on a 7-day holiday.
What is the least number of tins of baby food that Karan must bring with her?
Show your working.

Answers

Since Karen uses a tin each day for her baby and she’s going on seven day holiday 7 times 1 is 7 so basically the least number of baby foods Karan must bring with her is 7 just because that’s how much she eats in a normal week but Incas she wants to snack or eat she can with the extras . Please mark me brainliest hope it helps

HELP HELP EASY
Use a calculator to approximate cos 43° and round to
four decimal places.

Answers

Answer:

0.731353701619170483287543608275622403378...

Step-by-step explanation:

cos((43 π)/180)

UwU

It's verified you can trust

0.7315

Is what you needed

Estimate and then solve 3397÷59

Answers

Estimated:

3397 round down to 3300
59 round up to 60

3300 / 60 = 55

Solved :

3397/59 = 57.5762712
Teh answer is 57 taht is teh answer

Which of the following graphs represents a function?

Answers

Answer:

A and C

Step-by-step explanation:

A function has a unique y value for every unique x value

The vertical section disqualifies B

D has 2 y values for many x values.

The sum of two numbers is −12.6 , identify two negative addends that make the statement true.

Answers

Answer:

–7.4 and –5.2

Solution:

–7.4 + –5.2 = –12.6

Message:

I hope this helps

Use the graph below to find the indicated expression: f(3)-f(-3)

Answers

Answer:

f×3-f×(-3)

3f+3f

solution:

6f

Step-by-step explanation:

hope it's can help

Will mark as brainlist


The title of the poem, "Poetry and Prose, 'is an example of antonyms. Poetry and prose are "opposite' ways of writing.
Search the poem to find the other antonym pairs. Ust the words in the order that they appear in the poem. There are
seven more pairs. Separate each word with a comma. For example: poetry, prose.



If it isn't a poem. It's prose:
And friends cannot be foes.
A package not heavy is light.
And after the day comes night.
if it's ap. it can't be down:
The country is never a town.
When asleep we aren't awake:
To give is never to take

Answers

ah, yes, college mathematics. how riveting

poem, prose

friends, foes

heavy, light

day, night

up, down

country, town

asleep, awake

give, take

I truly commend you on your pursuit of such higher level mathematics studies.  Good luck!

need help on homework plz and thank u :)

Answers

Answer: Its b  

Step-by-step explanalson

becaues x always equals 7 in a factor

:)

Answer:

it is the second answer.

Serina and 2 friends go out for dinner. Their bill is $92.18. How much more would
they pay if they left a tip of 20% instead of a tip of 15%?
$9.22
$4.61
$6.91
$2.76

Answers

Answer:

$4.61

Step-by-step explanation:

To calculate a tip of 20%, you would perform the following:

$92.18 * 0.20 = $18.436

Similarly, for a tip of 15%:

$92.18 * 0.15 = $13.827

The difference would just be subtracting the two tip amounts from each other!

$18.436 - $13.827 = $4.609

Then you round to the nearest cent.

$4.609 ≈ $4.61

Write the equation 5x+y=0 in in slope-intercept form.

Answers

Answer:

y = -5x

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

5x+y = 0

Subtract 5x from each side

5x+y-5x= 0-5x

y = -5x

HELPPP!!! WILL MARK BRAINLIEST!!! 10 PTS

Find an equation for the graph sketched below:

Answers

Answer:

Plot the coordinate points and connect them with a smooth curve.

Hope This Help you po..

pa brainlest?

The equation for the graph is y = [tex]2(3)^{x} -5[/tex]  .

What are Exponential Equations?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

Standard exponential equation :

y = [tex]a(b)^{x} + k[/tex]

where a is the initial value

b represents the base of the exponential function

x will represent the input of the function

y = k is the single horizontal asymptote

k is  constant

According to the question

The figure in the graph is an exponential graph .

To derive the equation

we will use Standard exponential equation :

y = [tex]a(b)^{x} + k[/tex]  

Now,

There are two points in graph

(0.-3) and (1,1)

k = - 5  ( distance from 0)

now ,

Substituting the values

y = [tex]a(b)^{x} + k[/tex]  

y = [tex]a(b)^{x} -5[/tex]

for point   (0.-3)

-3 = [tex]a(b)^{0} -5[/tex]  

-3 = [tex]a -5[/tex]

a = 2  

for point   (1,1)

1 = [tex]2(b)^{1} -5[/tex]  

1 = 2b - 5

b = 3

Therefore , equation of exponential graph is  

y = [tex]2(3)^{x} -5[/tex]  

Hence ,The equation for the graph is y = [tex]2(3)^{x} -5[/tex]  .

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By which rule are these triangles congruent?
A)
AAS
B)
ASA
C)
SAS
D)
SSS

Answers

Answer:

A. AAS

Step-by-step explanation:

In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.

Multiply 0.006 by 3.08. Express in standard form​

Answers

Answer:

1.848 × 10^-2

Step-by-step explanation:

0.006 = 6 × 10^-3

3.08 = 3.08 × 10^0 (10^0 is equal to 1)

(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2

Lisa bought a refrigerator on sale for 50% off the original price, for $235. What was the original price before the sale?

Answers

Answer:

470$

Step-by-step explanation:

50% = 1/2

235 * 2 = 470

Given that f(x)= x^2+4, evaluate f(-2)

Answers

Answer:

f=-x^2/2-2

Step-by-step explanation:

simplify this please

Answers

Answer:

0? I tried solving it myself then I put it into my calculator and both times I got 0

Balto” is a 6 year old 35 kg intact husky mix. He presents through the ER after likely being HBC (hit by car) with anisocoria and nystagmus, both signs of head trauma. The doctor instructs you to give 1 g/kg mannitol IV to decrease intracranial pressure. Mannitol is a 20 % solution. How many grams will “Balto” receive? How many mgs? How many mls?

Answers

If we give 1 g/kg  of mannitol, it then follows that Balto needs to receive 35g  of  mannitol.

What is percent concentration?

Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.

Thus, If we give 1 g/kg  of mannitol, it then follows that Balto needs to receive 35g  of  mannitol.

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PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!

Answers

Answer:

y = [tex]\frac{3}{4}[/tex] x

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive

What are the law of indices

Answers

Answer:

What are the laws of indices?

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same.

Step-by-step explanation:

The first law: multiplication

The second law: division

The third law: brackets

Negative powers

Power of zero

Fractional powers

Help me please help me help please

Answers

Answer:

4

Step-by-step explanation:

-4/-1 = 4

Type SSS, SAS, ASA, SAA, or HL to
describe these triangles.

Answers

Answer:

SAS

Step-by-step explanation:

There is one common side (S)

both the triangles have 90° common (A)

Opposite sides are equal which is given (S)

They both are right angled triangles

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60



(b) x is less than 110


(c) x is between 60 and 110


(d) x is greater than 125 (borderline diabetes starts at 125)

Answers

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].

Item a:

This probability is 1 subtracted by the p-value of Z when X = 60, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 87}{25}[/tex]

[tex]Z = -1.08[/tex]

[tex]Z = -1.08[/tex] has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the p-value of Z when X = 110, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 87}{25}[/tex]

[tex]Z = 0.92[/tex]

[tex]Z = 0.92[/tex] has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is 1 subtracted by the p-value of Z when X = 125, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{125 - 87}{25}[/tex]

[tex]Z = 1.52[/tex]

[tex]Z = 1.52[/tex] has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

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