Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula

Answers

Answer 1

Answer:

Step-by-step explanation:

(x,y) ↦ (x+130, y-105)

original position of SE corner: (-50,25)

new position of SE corner: (80,-80)

distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft


Related Questions

Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.

Answers

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

Just give me 10 random dividing fraction equations with the answer will give brainliest!!

Answers

Answer:

Step-by-step explanation:

Question 5
Calculate the perimeter of the sector
4cm
285

Answers

Circumference of circle of radius 4 cm = 8π cm
length of 285° arc = (285/360)×(circumference) = (19/24) × 8π = (19/3)π
Perimeter of sector = arc length + 2 radii = (19/3)π + 8 ≈ 27.9 cm

The arc length of the sector will be 19.89 centimeters.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

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There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.

Answers

Answer:

Interval ( 24 ; 40 ) has  136 participants

Interval ( 16 ; 40 ) has 163 participants

Step-by-step explanation:

Normal distribution.

As variance is 64     then  standard deviation is σ = 8

And  mean   μ₀ = 32

We can see that   μ₀ ± σ      is    32 ± 8

The interval  (  32- 8 ; 32+8 )  is  ( 24 ; 40 )

By empirical Rule we know that   μ₀ ± σ   contains 68% of the population then   200*0,68 = 136

The number of participants between 24 and 40  is 136

By symmetry of these 136   half of them are between 32 and 40 ( 136/2 = 68 )  ( between mean and 40 )

Now in the interval  ( 16 ; 40 ) we note that  16 is  32 - 16  = 16 or μ₀ - 2σ

And again by empirical rule  μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2   95 are between  μ₀ - 2σ, therefore

95 people are between        μ₀ - 2σ   or between  ( 16  ; 32 ) and between  ( 32 ; 40  ) there are 68 people then

The interval  ( 16 ; 40 )  has  95 + 68  = 163 participants

if m=2 and b=-5, what is the equation of the line in slope intercept form

Answers

Answer:

y=2x-5

explanation:

y=mx+b

Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 2 batches?

Answers

2 batches is half as much as 4 batches...so cut all the ingredients in half. You would need 6 eggs and 2 sticks of butter (a 6 to 2 ratio)

ASAP PLS HELP WILL MARK BRAINLIEST!!

Answers

Answer:

The lines intersect at (-2,2).

Step-by-step explanation:

The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.  

Please help! Doing online because of pandemic!
For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.

Answers

Answer:

ART A:  Angles 1 and 4 are Corresponding Angles.  Angles 1 and 3 are Vertical Angles.  Angles 1 and 2 are Adjacent Supplementary Angles.  Angles 2 and 3 are also Adjacent Supplementary Angles.  Angles 3 and 4 are Opposite Interior Angles.  

PART B:  

<2=99 °

<3=81 °

<4=99 °

Step-by-step explanation:

PART A:  Angles 1 and 4 are Corresponding Angles.  Angles 1 and 3 are Vertical Angles.  Angles 1 and 2 are Adjacent Supplementary Angles.  Angles 2 and 3 are also Adjacent Supplementary Angles.  Angles 3 and 4 are Opposite Interior Angles.  

PART B:  

<2=99 °

<3=81 °

<4=99 °

A circle has a radius of 3.6 calculate the area of circle use 3.14 round your answer th the nearest hundredth of a square meter

Answers

Answer:

40.72units^2

Step-by-step explanation:

Given data

Radius= 3.6 units

The area is given as

A=πr^2

substitute

A=3.142*3.6^2

A=3.142*12.96

A=40.72units^2

Hence the area is 40.72units^2

10. Which ordered pair (x, y) is a solution of 3x +4y = 12?
A (-2, 4)
B (0, -3)
C (1,2)
D (4,0)

Answers

Answer:

C. (1, 2)

Step-by-step explanation:

3x + 4y = 12

3(1) + 4(2) = 12

3 + 8 = 12

12 = 12

Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter

Answers

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

What is sine law?

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

Learn more about sine law, click;

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Angle 1 is 135
Angle 2 is ?
Angle 3 is 135


Angle 3 is an exterior angle. What is the missing angle

A. 45

B. 80

C. 90

D. 180

Answers

Answer:

80

Step-by-step explanation:

di ko po alam kung tama ba

(sana po makatulong po)

what is 6+5/7 converted into a mix number

Answers

Answer:

47/7

Step-by-step explanation:

I think the answer is 6 5/7 or 47/4

Answer:

6 5/7

Step-by-step explanation:

Hope this helps!

Best of luck! ♥

Select the correct answer from each drop-down menu.

ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.

The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___​

Answers

i can answer this for you but how do u want the answer like is radical form, rounded to the nearest tenth? hundredth?

Answer:

The length of side AB is

(50)^1/2

units. The length of side BC is

(65)^1/2

units. The length of side AC is

(145)^1/2

units. ∠ABC ≈  

105.26°.

Define/explain the symmetric property.

Answers

Step-by-step explanation:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

The Bayesian statistician Bruno de Finetti (1906–1985) began his 1973 book on probability theory with the declaration: "PROBABILITY DOES NOT EXIST." The capitals appeared in the original, so I imagine de Finetti wanted us to shout this statement. What he meant is that probability is a device for describing uncertainty from the perspective of an observer with limited knowledge; it has no objective reality. Discuss the globe tossing example from the chapter, in light of this statement. What does it mean to say "the probability of water is 0.7"?

Answers

Answer:

It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.

Answers

Answer:

15m/s

Step-by-step explanation:

Given data

DIstance= 55.5 miles

time= 3.7 hours

Required

the speed

We know that

Speed= distance/time

Substitute

Speed= 55.5/3.7

Speed= 15 m/s

Hence the speed is 15m/s

An equation of a line through (-1, 1) which is parallel to the line y = 5x + 1 has slope:
and y-intercept at:

Answers

Answer:

The slope is 5 and the y-intercept is at (0, 6)

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the equation is 5. The equation is y = 5x + 6, so the y-intercept is 6.

at school there are 8 students who only play violin, 10 students who only play guitar, 3 students who play both, and 12 students who don't play any instrument at all. if a student is randomly selected from this school, what is the probability that they play violin or guitar

Answers

Answer:

[tex]\frac{7}{11}[/tex]

Step-by-step explanation:

[tex]\frac{21}{33}[/tex] simplified would be [tex]\frac{7}{11}[/tex]

The probability that they play violin or guitar is 7/11 .

What is Probability ?

Probability is the likeliness of an event to occur.

It is given that

The number of students who only play violin is 8

The number of students who only play guitar is 10

The number of Students who play both is 3

The number of students who don't play either is 12

Total Students = 8+10+3+12 = 33

Total favorable outcomes (violin or guitar) = 8 + 10 +3

Probability = Total favorable outcomes / Total outcomes

Probability = 21 / 33

Probability = 7/11

Therefore the probability that they play violin or guitar is 7/11 .

To know more about Probability

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Joel is looking at payment plans for the gym.

Plan A: $25 per month plus $145 to start

Plan B: $50 per month


How many months would it take for Plan A to be cheaper than Plan B?

Answers

Answer:

5 months

Step-by-step explanation:

plan a: $145 +$25x ........ $145 + ($25 x 4)= $245

plan b: $50x.......... $50 x 5= $250

I NEED HELP PLZZZ!!!!!!

Answers

Answer:

No the pay rates are not equivalent.

Step-by-step explanation:

Your pay rate per 8 hours is $56.

Your friends pay rate per 8 hours is $72.

Simplify (0.24) × (-0.15)

Answers

Answer:

0.036

Step-by-step explanation:

Answer:

0.24 x 0.15 = 0.036

Step-by-step explanation:

First ignore the decimal points so you have 24*15 = 360.

You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.

An urn contains b black balls and r red balls. One of the balls is drawn at random, but when it is put back in the urn c additional balls of the same color are put in with it. Now suppose that we draw another ball.

Required:
Show that the probability that the first ball drawn was black given that the second ball drawn was red is b/(b r c).

Answers

Answer:

Please see the explanation below for proof

Step-by-step explanation:

Probability of choosing black ball from the bag

[tex]\frac{b}{b+r}[/tex]

Probability of choosing red ball from the bag

[tex]\frac{r}{b+r}[/tex]

After the addition of c balls of correspondent color –  

P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]

P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]

B1 and B2 are mutually exclusive event

P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]

P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]

Hence, Proved

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

i cant see the question

Step-by-step explanation:

Answer:

Point Form:

(

4

11

,

19

11

)

Equation Form:

x

=

4

11

,

y

=

19

11

Step-by-step explanation:

Find the value of x.
(will give brainliest to correct answer)
30°
15x

A. 4

B. 2

C. 12

D. 10

Answers

Answer:

It might be D but im srry if wrong

Step-by-step explanation:

Select the correct answer from each drop-down menu.
Describe the relationship between the area of a circle and its circumference.
The -blank-
is -blank-
times the -blank-
times the circunference.

Answers

Answer:

hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference

Step-by-step explanation:

The other letter to the left is X btw PLS HELP

Answers

Answer:

probably D

Step-by-step explanation:

answer: D

34+26=60
180-60=120

Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?

Answers

Answer:

6 cards

Step-by-step explanation:

8 × 6 = 48

You can't have 1/4 of a baseball card. So the answer is 6 cards.

A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost. How many sheets are in the sale package?

Answers

Answer: 125

Step-by-step explanation:

25% of 100 = 25

25 + 100

125

Solve the inequality
10<3x+19

Answers

Answer:

The answer is ->

x>-3

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HELP!! Can someone translate this to English? Its for Spanish class The Wagner school store is having a sale! At the sale this week, a life sized stuffed animal of Wagners mascot is being sold for $158.40. This is a 52% discount of the original price. What is the original price? If necessary, round to the nearest cent. Lena drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles. Some one plz help me and I will give you brainliest plz Which two people played critical roles in keeping and expanding many military installations in the state of Georgia?Jimmy Carter and William B. HartsfieldBMaynard Jackson and Andrew YoungRichard Russell and Carl VinsonDEugene Talmadge and Tom Watson help yehhwhwwhebbrdbababebebdbsbwbbrbsj How many years did Stalin say they were behind advanced countries? what is 6+5/7 converted into a mix number 3. Which of the following is important when making and supporting a thesis?O at least ten examples that support your claimO an effective way of organizing your examplesO a unique or unusual thesisO fancy language that support your claim what is the life sketch of the writer himself question: why do you think Jefferson wrote what he did for his gravestone? Joel is looking at payment plans for the gym. Plan A: $25 per month plus $145 to start Plan B: $50 per month How many months would it take for Plan A to be cheaper than Plan B? PLZZZ HELP!!Why was the opening of the Disney Studio in 1923 such an important event? How does cel animation work? What is CGI and what is it used for? How do vectors and pixels work together in animation? Why do we have intellectual property laws? Critical Thinking Questions What does the method of animation in the zoetrope have in common with todays animation? Why do you think that some animators prefer stop motion animation over cel animation? What advantages would working with large pixels have over working with small pixels? What do you think the hardest part of creating CGI images is? Imagine that there were no intellectual property rights. How would this change how artists work? what is the answer to this question What is the result when 4x^4+17x^3+10x^2-7x+184x 4 +17x 3 +10x 2 7x+18 is divided by x+2x+2? 2. Describe two ways that mountains in Greece affected the AncientGreeks. a claim is a statement one believes to be true true or false WILL GIVE BRILLIANTIEST!A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows theresults of the vote.FavorOpposeNeutralTotal3312469145153696Age18-25Age26-40Age40+Total102924638856106250Which correlation does the two-way table suggest?A Voters age 40 and over are least likely to favor road expansion.B. The majority of the voters are most likely to favor road expansionc. Voters between the ages of 26 and 40 are most likely to oppose road expansionD.Voters between the ages of 18 and 25 are least likely to favor road expansion please help find RNA code from DNA code Write 2 sentences in ir + a + infinitive to describe the picture. NEED ASAP