A farmer is placing fencing material around her triangular garden. The vertices of her garden are located at the points (−1, 5), (4, 2), and (9, −4) on a coordinate grid. If each unit on the grid represents a foot and the material costs $8 per foot, how much will she pay for the material on the side between points (−1, 5) and (4, 2)?

Answers

Answer 1

Answer:

[tex]Cost= \$47[/tex]

Step-by-step explanation:

Given

Vertices: (−1, 5), (4, 2), and (9, −4)

Cost per foot = $8

Required

Determine the cost of fencing (-1, 5) and (4, 2)

First, we need to determine the distance between (-1, 5) and (4, 2)

Distance, d is calculated as follows:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where

[tex](x_1,y_1) = (-1, 5)[/tex]

[tex](x_2,y_2) =(4, 2)[/tex]

So, we have:

[tex]d = \sqrt{(4 - (-1))^2 + (2 - 5)^2}[/tex]

[tex]d = \sqrt{(4 +1))^2 + -3^2}[/tex]

[tex]d = \sqrt{5^2 + -3^2}[/tex]

[tex]d = \sqrt{25 + 9}[/tex]

[tex]d = \sqrt{34}[/tex]

[tex]d = 5.83095189485[/tex]

[tex]d = 5.831[/tex] -- Approximated;

If the cost of 1 foot is $8.

5.831 feet will cost:

[tex]Cost= 5.831 * \$8[/tex]

[tex]Cost= \$46.648[/tex]

[tex]Cost= \$47[/tex] -- Approximated


Related Questions

sarah has 20 apples, but then sandy took 1/2 of it. How much did she took?

Answers

Answer:

10

Step-by-step explanation:

divide 20 by 2. so the answer is 10.

the answer is 10 i believe

Solve the equation.
-5=x+3
Ox=3
Ox=-3
Ox=8
Ox=-8

Answers

Answer:
x= -8

Explain:
You first have to make the variable by itself so you subtract 3 on both sides. The x is by itself and you finish by subtracting -5 to 3 and you get the answer x = -8

Hope this helps

f(x) = 2x^2 Find f(-3)

Answers

F(-3)=2(-3)^2=18, 18 is the answer

what is the highest number of degrees an angle can have A 360 B 180 C 90 D 270

Answers

Answer:

360

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

An angle can range from 0 to 360 degrees.

What are the three categories of municipality in nepal ​

Answers

The three categories of municipality in Nepal:
1.Metropolitan City(Mahanagarpalika)
2. Sub metropolitqn city(Upmahanagarpalika)
3. Municipality (Nagarpalika)

What’s 3.9 divided by 22.23 :)

Answers

Answer:

0.1754

Step-by-step explanation:

Use a calculator

Answer:

5.70 hope that helped :)

following
3x + 10 = 17

Answers

Answer:

x=7/3

Step-by-step explanation:

The answer is x = 7/3

Envision mathematics common core volume 1 book page 195

Answers

Answer:

?

Step-by-step explanation:

HALP?????????????????????????????????????plz

Answers

Answer:

Start menu- A)

Taskbar- E)

Quick Launch-D)

System tray- B)

Icons-C)

Step-by-step explanation:

Answer:

1. Icons-------->pictures that represent applications, files, or folders.

2. Quick Launch---------->list of items that can be opened by clicking on their names.

3. Start menu----------->shows  the programs that are always running.

4. System Tray---------->place where frequently used programms can be opened.

5. Taskbar--------->displays open application or files.

Step-by-step explanation:

I pretty much explained it in the answer. :)

Which graph best represents hellppp.

Answers

Answer:

C

Step-by-step explanation:

The negative slope of -1/3x will go down 1 and right 3 as it decreases. The +2 is where the y axis is intersected.

The gross income, in dollars, that a company makes from selling x items can be modeled by the expression 3x2 + 2x +4. It costs the company 2-3x + x2 dollars to make x items. Which expression represents the company’s profit if it makes and sells x items

Answers

The answer is 2-4 because it all comes togwthe

what is the square root of 96 in simplest form

Answers

Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

What type of function is represented in the table?
Х
0
-7
1
-2
2
3
3
8
4
13
5
18
y
quadratic
exponential
O logarithmic
O linear

Answers

Answer:

Linear

Step-by-step explanation:

The y is increasing constantly by 5 each time. The equation that would represent this is y=5x-7 because when x is 0 y is -7, so that is your y intercept, and the m, or slope, of your graph is 5, because of the constantly increasing y.

The given  table is representing linear function. So Option B is correct.

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Given that,

A table

x   0    1    2    3    4    5  

y   -3   5   13  21   29  37

Lets us first check that data for linear relationship,

Consider a function,

y = mx + c

lets put value (0, -3)

-3  = m0 + c

c = -3

y = mx -3

Now putting second point

5 = mx1 -3

m = 8

y = 8x - 3

If third point satisfies the given condition

then it will be linear function

x = 2 & y = 13

y = 8x -3

13 = 8x2 - 3

13 = 13

hence proved

Thus, the given table represents the linear function.

To know more about Functions check:

https://brainly.com/question/5975436

#SPJ7

Find 3/5of 100 and find 4/7 of 12

Answers

Step-by-step explanation:

The answers are 60 and 6.86

A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calculated the sale price.

Answers

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = [tex]\frac{80}{100} = \frac{4}{5}[/tex]

This means that the

Sale Price= [tex]\frac{4}{5}[/tex] x 350 = 280 AED

350 (original sale price)
20% (sale)
350 x 20% = 70 (saving)
350 - 70 = 280 (spending) (new sale price)

Answer is 280 AED

What’s 7/10 Equivalent to put it in fraction

Answers

Answer:

i think this is what u want

Step-by-step explanation:

please mark brainliest

Answer:

nvm im wrong its wat the other girl or boy said

Example 1:
Jose opens a savings account with principal P dollars that pays 5% interest, compounded
quarterly. What will his ending balance be after one year?

Answers

Answer:

Step-by-step explanation:

The amount $1.26 is 6% of what price? (1 point)
оа
ob
Ос
Od
$20.16
$21.00
$67.56
$75.60

Answers

Answer:

$21.00

Step-by-step explanation:

we can solve easly like this

if 6%=1.26

100%=?

100%*1.26/6%=126%/6%

=$21

therefore $21's 6%is $1.26.

i think the answer is clear i hope it helps you

true or false 4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters.

Answers

Answer:

yes the answer is true

Step-by-step explanation:

the length of the rectangle is given 2 m

the breadth of the rectangle is given 3 m

so the area of the rectangle = length * breadth

= 2m*3m

=6m^2

hence proved

hope you like the answer

marks brainliest

hurry up !

The area of the rectangle is [tex]6m^2.[/tex]

Given that,

The area of the rectangle is [tex]6m^2[/tex]The dimension should be 2 meters by 3 meters.

Now as we know that

The area of the rectangle is

[tex]= length \times breadth\\\\= 2 \times 3\\= 6m^2[/tex]

Therefore we can conclude that The area of the rectangle is [tex]6m^2.[/tex]

Learn more about the rectangle here: brainly.com/question/16167300

A realtor and 6% Commission on every house she sells how much money would she earn if she sells the house for 350,000?​

Answers

Answer:

350000 * 0.06 = 21,000

Step-by-step explanation:

i think its 21,000 commission because 6% of 350000 is 21,000

There are 2 friends chasing one another. They are 80
feet apart. Caroline is chasing after Sam. Sam runs at
a speed of 22 feet per second and Caroline runs at a
speed of 31 feet per second. How many seconds will it
take for Caroline to catch Sam?

Answers

Answer:

8.9 seconds

Step-by-step explanation:

When caroline catches sam after some time lets say t

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.

Given

Let the time taken by Caroline to catch sam is t seconds

distance covered by Caroline in t seconds = speed of caroline*t

distance covered by Caroline in t seconds = 31  * t

distance covered by Caroline in t seconds = 31t feet

distance covered by sam in t seconds = speed of sam*t

distance covered by sam in t seconds = 22  * t

distance covered by sam in t seconds = 22t feet

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds

thus,

distance covered by Caroline in t seconds  = distance covered by sam in t seconds  + 80 feet

31t = 22t + 80

subtracting 22t from both sides

=> 31t - 22 t = 80

=> 9t = 80

=>t = 80/9 = 8.9 seconds

Thus,

it will take 8.9 seconds for Caroline to catch Sam

Han is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true.



5x+6=7x+5-2x5x+6=7x+5−2x original equation

5x+6=7x-2x+55x+6=7x−2x+5 apply the commutative property

5x+6=5x+55x+6=5x+5 combine like terms

6=56=5 subtract 5x from each side



What can Han conclude as a result of these acceptable steps?

Answers

Answer:

no solution

Step-by-step explanation:

5x+6=7x+5-2x original equation

5x+6=7x-2x+5 apply the commutative property

5x+6=5x+5 combine like terms

6=5subtract 5x from each side

Since this is never true, there is no solution

Answer:

There's no value of x that can make the equation 5x+6=7x+5-2x true.

Step-by-step explanation:

im not sure b right or wrong?

Answers

Answer:

Yes That is right. B is correct

Step-by-step explanation:

Answer:

37 is what percent of 76? = 48.68

Step-by-step explanation:

Convert fraction (ratio) 37 / 76

You would get...

0.48684210526

B is correct

fill the form regarding the features of this graph

Answers

Answer:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

Step-by-step explanation:

We have the graph of f(x).

In general, remember these points:

If the end behavior of the graph is the same, then the function must be an even degree function.  If the end behaviors are different, then the function must be an odd degree function.

For even-degree functions:

If both end behavior goes towards positive infinity, then the leading coefficient is positive. If both end behavior goes towards negative infinity, then the leading coefficient is negative.

And for odd-degree functions:

If the right end-behavior goes towards positive infinity, then the leading coefficient is positive. If the right end-behavior goes towards negative infinity, then the leading coefficient is negative.

P.S. Yes, it's a lot. But grasping these concepts will help you greatly in future mathematics!

Anyways, let's go back to our problem. Our graph has the same end behavior, so it must be an even function.

Moreover, both end behavior are approaching positive infinity, so the leading coefficient must be positive.

The real zeros of a function are whenever the graph touches or crosses the x-axis. We see that it happens only three times (this is circled in blue below in the image).

The relative minimum values are whenever the graph reaches its lowest point between an increasing and decreasing (or decreasing and increasing) curve. This happens twice (this is circled in black below in the image).

Note: The black arrows denote whether the graph is increasing or decreasing (down means decreasing, up means increasing).

So, you can see that our minimums will always be between a decreasing and then an increasing curve.

So, our solution is:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

And we're done!

FOR BRAINLIEST!!!!!!

Just do 15. And 17.

Answers

Answer:

15= A=11138

17= A≈57.43

Step-by-step explanation:

15) A=2(wl+hl+hw)

17) A=2πrh+2πr^2

Will give brainiest!!!

2. Solve for x. SHOW YOUR WORK.
(7x - 25)°
(4x + 2)°

Answers

▪ Answer:

x = 9

▪ Step-by-step explanation:

Hi there !

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

Good luck !

Answer:

x = 9

Step-by-step explanation:

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

What 1.5 feet above ground in fraction?

Answers

Answer:

1 1/2 or 3/2

Step-by-step explanation:

Determine the line of symmetry for

Answers

is there supposed to be a picture in a little bit confused, or are u wanting the definition?

If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?

3
3.2
4
4.6

Answers

Answer:

c. 4

Step-by-step explanation:

I took it on the test and it was right. Hope this helps!

p^2-4p=1
step by step explanation pleaseee

Answers

Answer:

[tex]p_1=2+ \sqrt{5}\\p_2=2- \sqrt{5}[/tex]

Step-by-step explanation:

A second-degree equation is often expressed as:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The equation to solve is:

[tex]p^2-4p=1[/tex]

We need to express the equation as mentioned above. The right side of the equation must be zero, so we subtract 1:

[tex]p^2-4p-1=0[/tex]

Now we have the values to solve the equation:

a=1, b=-4, c=-1

Applying the formula:

[tex]\displaystyle p=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{16+4}}{2}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{20}}{2}[/tex]

Since 20=4*5:

[tex]\displaystyle p=\frac{4\pm \sqrt{4*5}}{2}[/tex]

Taking the square root of 4:

[tex]\displaystyle p=\frac{4\pm 2\sqrt{5}}{2}[/tex]

Simplifying by 2:

[tex]p=2\pm \sqrt{5}[/tex]

Two solutions are found:

[tex]\boxed{p_1=2+ \sqrt{5}}\\\boxed{p_2=2- \sqrt{5}}[/tex]

Other Questions
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.Use = 3.14.What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. The warm air rises and cool air sinks conduction convection or radiation the screen shots are attatches please help i will give brainliest. inches to miles Where did the first major civil war battle with heavy causalities occur?. Question 6 of 10 How many glucose molecules can be formed by 6 molecules of carbon dioxide? OA. 18 O B. 1 O c. 12 OD. 6 Driver's Delight is considering building a new circular track with a diameter of 150 feet, what is the circumference of the track Hi, Can someone give me some points on this topic minors (persons under 18) should be able to enter a contract Using complete sentences, describe three characteristics that are signs of urban sprawl. How can we tell if a city is sprawling? (BRAINLIEST) Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 student tickets for a total of $198. The school took in $156 on the second day by selling 10 adult tickets and 8 student tickets. Find the price of an adult ticket and the price of a student ticket. Which is an example of the body maintaining homeostasis using a positive feedback loop? Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.CAN SOMEONE PLEASE ACTUALLY ANSWER THIS, PEOPLE JUST PUT RANDOM ANSWERS UNDER THE QUESTION I KEEP ASKING... What historical event contributed to Bourbon St and Preservation Hall becoming the epicenter of traditional New Orleans jazz? HELP ME NEED IT ASAPWhat can an ophthalmologist do that an optometrist cannot?A.examine eyesB.prescribe eyeglassesC.meet with patientsD. perform surgeries What is the most important part of chapter 13 in The Cay? 6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0): k = 1/5 Plz help i need it done fast Max lost 23 pounds while on a diet. Henow weighs 184 pounds. Write and solvean equation to find his initial weight w. What are the x and y intercepts of a line described by the following equation? Please show your work for calculating the the x and y intercept:-4x + 2y = 6 You can help me pleaseeee Lines 4552: Which details in the text suggest that the narrator of this story is not reliable? What is it about this narrator that makes him seem unreliable?3. Lines 8093: In what four places does Poe repeat a word or phrase? What idea does the repetition of to feel emphasize? What impact does the repetition of the word stealthily have?