the stream frontage is 800 feet in length and the property line is 3900 feet in length

The lot has an area of about ___ acres

Answers

Answer 1

Using the Pythagorean Theorem, it is found that the lot has an area of about 35 acres.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Researching the problem on the internet, the lot has one leg of 800 feet and the hypotenuse is of 3900 feet, hence the other leg is found as follows:

[tex]800^2 + l^2 = 3900^2[/tex]

[tex]l = \sqrt{3900^2 - 800^2}[/tex]

l = 3817 feet.

What is the area of a right triangle?

The area of a right triangle is given by half the multiplication of it's legs. Hence, the area of the lot, in square feet, is given by:

A = 0.5 x 800 x 3817 = 1,526,800 square feet.

Each square feet is equivalent to 0.000029568 acres, hence the area in acres is given by:

Aa = 0.000029568 x 1,526,800 = 35 acres.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

#SPJ1


Related Questions


Please answer this for me

Answers

Step-by-step explanation:

all the details see in the attachment.

what is the value of x

Answers

Answer:

FROM THE CALCULATIONS THE ANSWER IS B!

Samantha is 9 years younger than her brother Maurice. In 10
years, Maurice will be 1.5 times older than his sister. Find their
present ages.

Answers

Step-by-step explanation:

hope you can understand

Answer:

Samantha is 8 years and Maurice is 17 years

Step-by-step explanation:

First represent Samantha's brother's age with a variable, x.

Secondly, find Samantha's age. since shes 9 years younger, then it will be her brother's age which is x minus 9

Thirdly, in ten years, they will all age hence 10 will be added to all their ages.

Fourthly, once 10 has been added to their after 10 years, rhen we realise Maurice age will be 1.5 timess Samantha's age... Then you solve the resulting equation.

Given that the slope is 4 and (4, 6) is on the line. Write the equation of the line
in the slope-intercept
form

Answers

Answer:

y= 4x - 10

Step-by-step explanation:

y-6 = 4(x - 4)

y - 6 = 4x -16

+6. +6

y= 4x - 10

I need help in this problem

Answers

Step-by-step explanation:

this is first an arithmetic sequence with the first term A1=3(1)+1=4 And the 12th term A12=3(12)+1=37. Then use this formula

S12=12/2 ×(4+37)

=6×41

=246

No Question, this account was set up in error.

Answers

Answer:

is the question no questions question ❓

Use the imaginary number i to rewrite the expression below as a complex number. Simplify
all radicals.
-√√-96
Submit
Work it out

Answers

Step-by-step explanation:

Revin imediat...... ✨.

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q? 08- 5 O 0-7+5 O e-7-5

Answers

The equation gives the measure of the central angle 7/5 times 3 60/2 π.

What is Central angle?

An angle with its vertex at the center of a circle and with sides that are radii of the circle.

radius= 5 feet.

Circumference of circle,

= 2πr

=2*3.14*5

= 31.4 feet.

Arc length = 7.

Then, the part of circle 7 feet arc have

=7/31.4

=0.2229

Also, 0.2229 * 360 = 80.244°

In radian,

80.244° = 1.4 radians

Hence, 7/5 times 360/2 π.

Learn more about this concept here:

https://brainly.com/question/13831987

#SPJ1

63, 58, 57, 71, 54, 60 Calculate the coefficient of variation for the following data

Answers

Answer:

The coefficient of variation (CV)= 9.83

Step-by-step explanation:

look at the attachment above ☝️

Please answer all the questions txxxx

Answers

In the first image, the answer is the square root of 3,778 meters. In the second image, the answer is B, or 12 cm. In the third image, the answer is C, or 10^2 + 8^2 = x^2.

Explanations:

1st image: The longest side of the triangle is equal to the hypotenuse, which is c squared. Because a squared + b squared equals c squared, that would mean 23 squared + 57 squared equals c squared. 23 squared (23 x 23) equals 529, and 57 squared (57 x 57) equals 3,249. 3,249 + 529 = 3,778. This means that c squared equals 3,778. Now, to find c, we can find the square root of 3,778 which would be 61.5 meters rounded. That’s how I got my answer.

2nd image: 13 squared is the hypotenuse, which equals 169 because 13 x 13 is 169. Therefore, 5 squared (which equals 25) + b squared = 169. 169 - 25 = 144, and that means b squared equals 144. The square root of 144 is 12, so 12 cm is the length of the longer leg.

3rd image: x is equal to the hypotenuse, or c squared. Because the Pythagorean Theorem equation is a squared + b squared = c squared, your equation is 10 squared + 8 squared = x squared. That would make the only relevant answer C.

There are the answers and explanations for all of the problems. If you need further explanation on Pythagorean Theorem, let me know and I will explain!

5.7y-5.2=y/2.5 how to solve

Answers

5.7y-5.2=y/2.5

Add 5.2 to both sides:

5.7y = y/2.5 + 5.2

y/2.5 = 0.4y

5.7y = 0.4y + 5.2

Subtract 0.4y from both sides:

5.3y = 5.2

Divide both sides by 5.3:

y = 5.2/5.3

y = 0.98113

Answer:

y = 0.981

Step-by-step explanation:

Given expression:

5.7y-5.2=y/2.5

Solution:

5.7y-5.2=0.4y

Subtract 0.4y from both sides:

5.7y-5.2-0.4y=0.4y-0.4y5.3y - 5.2 = 0

Add 5.2 to both sides:

5.3y-5.2+5.2 = 0+5.25.3y = 5.2

Divide both sides by 5.3:

[tex] \cfrac{5.3y}{5.3} = \cfrac{5.2}{5.3} [/tex][tex]y = 0.981[/tex]

Hence, y = 0.981.

line / is parallel to line m. the slope of line / is 4/9. what is the slope of line m?

Answers

Answer: 4/9

Step-by-step explanation:

Parallel lines have equivalent slopes.

As line 'l' and line 'm' are parallel to each other ,then the slope of line 'm' is also 4/9.

Parallel lines have the same slope. The slope of line segments is identical because they are all similarly inclined with respect to the positive x-axis. If 'l', and 'm' are the slopes of two parallel lines,

then l = m

Slope-intercept notation for lines may be expressed as y=mx+b.

In this notation, b denotes the location of the line's y-axis intercept, and slope(m) indicates the slope of the line.

The slope of 'l'=4/9

The slope of the two parallel lines is the same.

Therefore, the slope of the parallel line "m" = 4/9.

Learn more about 'y=mx+c':

https://brainly.com/question/12923053?referrer=searchResults

#SPJ10

What is the solution of the following system?

Use the substitution method.

{3x+2y=11x−2=−4y

A.) The only solution is (12, - 5/2)
B.) The only solution is (4, - 1/2)
C.) There is no solution
D.) There are an infinite number of solutions

Answers

Answer:

  B.) The only solution is (4, - 1/2)

Step-by-step explanation:

To solve this system of equations using the substitution method, we need to use one equation to find an expression for one of the terms or variables that can be substituted for that term or variable in the other equation.

__

expression for x

Here, it is convenient to use the second equation to write an expression for x:

  x -2 = -4y

  x = 2 -4y . . . . add 2 to both sides

substitute

Using this expression for x, we can write the second equation as ...

  3x +2y = 11

  3(2 -4y) +2y = 11 . . . . . substitute for x

  6 -10y = 11 . . . . . . . . eliminate parenthses

solve

This 2-step equation can be solved in the usual way:

  -10y = 5 . . . . . . . subtract the constant to isolate the variable term

  y = -5/10 = -1/2 . . . . . divide by the coefficient of the variable

  x = 2 -4(-1/2) = 2 +2 = 4 . . . . . find the corresponding x-value

The only solution is (x, y) = (4, -1/2).

The only solution is (x, y) = (4, -1/2). so, the correct option is B.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

we have the system of equations;

3x+2y=11

x−2=−4y

By the substitution method;

use the second equation to write an expression for x:

 x -2 = -4y

 x = 2 -4y

substitute

 3x +2y = 11

 3(2 -4y) +2y = 11

 6 -10y = 11

solve

 -10y = 5

 y = -5/10 = -1/2

 x = 2 -4(-1/2)

x = 2 +2 = 4

Thus, The only solution is (x, y) = (4, -1/2). so, the correct option is B.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

How Do You Answer This Question

Answers

It has no solution because 2 does not equal 3 and vice versa

Simplify cube root of 5 over fourth root of 5 . (5 points) 5 to the power of 1 over 4 5 to the power of 1 over 12 5 to the power of 7 over 12 5 to the power of 4 over 3

Answers

Answer:

[tex] {5}^{ \frac{1}{12} } = \sqrt[12]{5} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt[3]{5} }{ \sqrt[4]{5} } = {5}^{ \frac{1}{3} } \div {5}^{ \frac{1}{4} } = {5}^{ \frac{4}{12} } \div {5}^{ \frac{3}{12} } = {5}^{ \frac{1}{12} } = \sqrt[12]{5} [/tex]

THIS IS THE ANSWER: 5 to the power of one-twelfth (Take a look at the image if this does not make sense) :))

:))

:)))   HAPPY SLAPPY!!!!

:))))

"UPDATE" : This was correct on my test. Also I realized to see the image in this answer keep your cursor on the side of your screen, not on the image :D

NEED HELP PLEASE!! Don’t know how to do this

Answers

By working with percentages we will see that the down payment is of $11,010 and the first monthly payment is of $275.25

How to work with percentages?

First, the total cost is $110,100.

And we know that you initially pay the 10% of that, so the amount that you pay initially is:

P = 0.10* $110,100 = $11,010

So the down payment is of $11,010

The rest is financed over 30 years, so the rest is:

$110,100 - $11,010 = $99,090

Dividing by the number of months:

N = ( $99,090)/(30*12)  = $275.25

And there is an interest of the 9%, then the amount that you pay on month x is given by:

[tex]P(x) = $275.25*(1.09)^{x-1}[/tex]

Currently (on the first month, so x = 1)

Your pay will be of $275.25

If you want to learn more about percentages:

https://brainly.com/question/843074

#SPJ1

15. Desde la punta de un edificio el hombre araña lanza una tela a 500 metros, de la base del edificio
con un ángulo de depresión de 60°, ¿Qué altura (h) tiene el edificio?


ayudaaaa

Answers

Step-by-step explanation:

the correct answer will be 93

Which line is perpendicular to a line that has a slope of -5/6?

Answers

Answer:

Line LM

Step-by-step explanation:

First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.

Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.

To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.

Line LM - [tex]\frac{-3-3}{-5-0}=\frac{-6}{-5}=\frac{6}{5}[/tex]

Line NO - [tex]\frac{-5-0}{-6-0}=\frac{-5}{-6}=\frac{5}{6}[/tex]

Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.

If you need help on calculating slope from two points, I'd suggest watching this video: https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.

x=7-3y
2(7-3y)+4y=8
14-6y +4y=8
14-2y=8
-2y = -6
y=3
x + 3(3) = 7

Answers

Answer:

(-2,7)

Step-by-step explanation:

x=7-3y

2(7-3y)+4y=8

14-6y +4y=8

14-2y=8

-2y = -6

y=3

x + 3(3) = 7

x + 9 = 7

x = -2

(-2,7)

Answer: -2,3

Step-by-step explanation:

has a bag containing twenty balls. There are twice as many yellow balls than blue balls, but the yellow balls are only a third of the red balls. The green balls are the same number as the blue balls. How many are each of the colour ball?

Answers

Answer:

Yellow: 4

blue: 2

red: 12

green: 2

Which of the following equations is equivalent to the formula for velocity

Answers

where are the answer choices?

but the answer either way has to be:
v = d/t . v is velocity, d is for distance, and t is for time

three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?​

Answers

Answer:

sorry I don't know the answer

Considering only the values of β for which sinβtanβsecβcotβ is defined, which of the following expressions is equivalent to sinβtanβsecβcotβ?

Select the correct answer below:

secβcotβ
tanβ
cotβtanβ
tanβcscβsecβ

Answers

Answer:

[tex]\tan(\beta)[/tex]

Step-by-step explanation:

For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something.  If you have options that you're building toward, aim toward one of them.

[tex]{\tan(\theta)}={\dfrac{\sin(\theta)}{\cos(\theta)}[/tex]    and   [tex]{\sec(\theta)}={\dfrac{1}{\cos(\theta)}[/tex]

Recall the following reciprocal identity:

[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{1}{ \left ( \dfrac{\sin(\theta)}{\cos(\theta)} \right )} =\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]

So, the original expression can be written in terms of only sines and cosines:

[tex]\sin(\beta)\tan(\beta)\sec(\beta)\cot(\beta)[/tex]

[tex]\sin(\beta) * \dfrac{\sin(\beta) }{\cos(\beta) } * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) } {\sin(\beta) }[/tex]

[tex]\sin(\beta) * \dfrac{\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} {\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}[/tex]

[tex]\sin(\beta) *\dfrac{1 }{\cos(\beta) }[/tex]

[tex]\dfrac{\sin(\beta)}{\cos(\beta) }[/tex]

Working toward one of the answers provided, this is the tangent function.


The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero.  However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to [tex]\tan(\beta)[/tex].

Which expression is modeled by this arrangement of tiles?

40 positive tiles are broken up into 10 groups of 4 positive tiles.
40 divided by (negative 10)
40 divided by 10
40 divided by 40
40 divided by 40

Answers

Answer:

40 divided by 10

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Find equation in slope intercept form of the line passing through the points with given coordinates (-3,-4), (0,-3)

Answers

Answer:

Step-by-step explanation:

→ Find the gradient

( -3 --4 ) ÷ ( 0 --3) = 1/3

→ Write into format

y = 1/3x + c

→ Substitute in a coordinate pair

-3 = 0 + c

→ Solve for c

c = -3

→ Write into format

y = 1/3x - 3

Simplify each expression.
10x³y²
5x³y
x = 0, y = 0

Answers

Step-by-step explanation:

Very easy the value are given apply the value for X and y

A Ferris wheel at an amusement park is modeled by (x – 100)2 + (y – 75)2 = 4,900, where the measurements are in feet. A slingshot attraction is modeled by y = –3x2 + 48x – 30. Which attraction reaches a greater height, and what does it represent in terms of the context?

Answers

The attraction that reaches a greater height and what it represent in terms of the context  is:

The slingshot reaches a greater height at  162 ft, which is the vertex of the parabola.The Ferris wheel reaches a greater height at 145 ft, which is the highest point on the circle.

Height

Ferris wheel

(x – 100)2 + (y – 75)2 = 4,900

y max= 75+70

y max=145 ft

Sling shot

y = –3x² + 48x – 30

dy/dx=-6+48=0

x=48/6

x=8

Hence:

y max = –3(8)² + 48(8) – 30
y max = –3×64+48(8)-30

y max = –192+384-30

y max =162 ft

Therefore slingshot reaches a greater height at  162 ft and Ferris wheel reaches a greater height at 145 ft.

Learn more about height here:https://brainly.com/question/1739912

#SPJ1

Six angles of a heptagon have measures of 80°, 90°, 100°, 145°, 165° and 170°. The smallest of all the exterior angles measures ____.

80°
150°
190°
10°

Answers

Answer: 10°

Step-by-step explanation:

Since an exterior angle and its corresponding interior angle are supplementary, meaning they have a fixed sum, to minimize the exterior angle, we need to maximize the interior angle.

This means we need to consider the 170° interior angle, so the corresponding exterior angle is 10°.

If anyone can help me to solve this.​

Answers

Answer:

[tex]\large \boxed{ \tt{y = - 2x + 5}}[/tex]

Step-by-step explanation:

From the y-intercept og [tex][0,5][/tex], travel five unit south over two unit east. Doing so will get yoy to the endpoint of [tex][1,3][/tex], which tells you that the rate of change is [tex] - 2[/tex], Therefore, your equation, in Solpe Intercept Form , is [tex]y = - 2x + 5[/tex]

[tex] \\ [/tex]

#CarryOnLearning

[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

[tex]\leadsto[/tex] Using the slope-intercept form:

▪ [tex] \bold{y = mx + b}[/tex]

▪ [tex] \bold{y = mx + 5}[/tex]

Finally, we are going to use any point of the line. In this case, I am going to take the point (2, 1). Substituting,

[tex] \sf \longrightarrow{1 =m*2+5}[/tex]

[tex] \sf \longrightarrow{1 - 5 = 2m}[/tex]

[tex] \sf \longrightarrow{ m= - \dfrac{4}{2} = - 4 }[/tex]

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

The equation of the line is:

[tex]\large\boxed{\sf y = 2x + 5}[/tex]

Can y’all help me with ! I need correct anwsers ! Please

Answers

Answer:

Im pretty sure its B,  1.75. Not exactly sure though

Step-by-step explanation:

Other Questions
PLEASE HELP ASAPThe file is attached Adrian, a single man who wants to buy a house in five years, read an article that recommended a down payment of 20 percent. With a large income and little debt, Adrian can afford to save a substantial amount of money every month. He is asking you for advice to help him reach his goal. It is now five years later, and Adrian has saved enough money for a 20 percent down payment on a house. He will have to borrow $135,000 in a 30-year loan with an annual interest rate of 6 percent compounded monthly. What will his monthly mortgage payment be Indigo earned a grade of 93% on her multiple choice history final that had a total of200 problems. How many problems on the final exam did Indigo answer correctly? Why was the BIOS framework relocated to flash memory from a complementary metal-oxide-semiconductor (CMOS) in later development? Scientists used alpha particles to investigate models of the atom. Figure 4 shows an alpha particle scattering experiment.Explain how scientists used the results from the experiment to : disprove the plum pudding model give evidence for the new nuclear model You work for a lending institution and are tasked with whether or not to approve a home loan, using the standard 28/36 ratio. the loan application is for $230,000. you see that the applicant has an annual salary of $83,000. the applicant also has a car payment of $315, a student loan of $140 and a boat loan of $96. how likely are you to approve the loan? a. very likely; recurring debt is considerably less than what is allowed. b. somewhat likely; recurring debt is very close to what is allowed. c. not likely; recurring debt is higher than what is allowed. d. there is not enough information given to determine the answer. An ongoing promotion at a department store gives customers 20\%20%20, percent off the portion of their bill that is over \$100$100dollar sign, 100. Ruby's total bill at the department store after the promotion has been applied is \$250$250dollar sign, 250. If xxx represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation? How in the world do you play this tablature? I just started learning guitar and this is one of the exercises, but I don't know what the 0 is, where the letters come in, what in the world the f over the tab means, I just need it all explained and how to play, thank you! A car with a mass of 1,324 kilograms, traveling at a speed of 20 meters/second, crashes into a wall and stops. What is the kinetic energy after this perfectly inelastic collision? answer both questions please [tex]2^{x^2-5x}=\frac{1}{64}[/tex] the nurse is assessing vital signs in a patient with a permanent pacemaker. what should the nurse document about the pacemaker? Please help and fast for brainliestThe graph shows the number of gallons of white paint that were mixed with gallons of green paint in various different ratios:Draw the graph on a grid. The title is Mixing Paint. The horizontal axis label is Green Paint in gallons. The scale is 0 to 24 in increments of 3. The vertical axis label is White Paint in gallons. The scale is 0 to 72 in increments of 9. Plot points at the ordered pairs 3,9 and 6,18 and 9,27.The number of gallons of white paint mixed with 1 gallon of green paint is ______. The graph of a function f(x) is shown. What is the value of x where f(x) = -5? And f(0)? Which type of context should he consider to better understand this story If your mass is 63.7 kg, and you are standing 7.5 m away from a boulder witha mass of 9,750.6 kg, what is the gravitational force between you and theboulder? Newton's law of gravitation is FGm m. The gravitational=gravityconstant G is 6.67 x 10-11 N-m/kg.A. 1.10 x 104 NB. 7.37 x 10-7 NC. 9.82 x 10-8 ND. 5.52 x 10-6 NPlease help me! Watch any film of the silent era. Choose a short film from any genre that is less than 30 minutes long. Write a review of your experience of watching this film. Make comparisons with a modern film of the same genre that you have recently watched. Which statement best explains why cooperation between countries is necessary to prevent a tragedy of the commons? Since there are so many common areas, sharing between countries should be easier. If one country overuses a common resource, it depletes the common resource for all. Common areas are divided among only a few countries, and little access is given to the rest. Too many countries have access to common areas, and this prevents them from sharing. what of the following points are on the line given by the equation y = 5x A school is watching students as they enter the football game for students who are dressed inappropriately. they estimate that 7% of all students are dressed inappropriately. out of a group of 40 students, what is the probability that exactly 2 are dressed inappropriately? round to 3 decimal places.