The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented by PH
in the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards

Answers

Answer 1

Answer:

A; the actual length of the land bridge from P to H is 50 yards

Step-by-step explanation:

Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.

Mathematically, to calculate this distance, we make use of the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)

Substituting these values

D = √(32-2)^2 + (15-55)^2

D = √(-30)^2 + (-40)^2

D = √(900 + 1600)

D = √(2,500)

D = 50 units

Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards


Related Questions

What is the value of x in the following equation? x2 - 1 = 8

Answers

Answer:

4.5

Step-by-step explanation:

if we take -1 and put it in L.H.S it becomes 8+1=9 and then when u put x2 which is x×2 to L.H.S it becomes 9÷2 =4.5

Answer:

4.5

Step-by-step explanation:

First break it apart by taking the x2 and set it aside then add 8 + 1 which is 9.

Next take the 9 and divide it by 2 then you get 4.5.

To double check make sure to multiply 4.5 by 2 just to make sure it gets 9 as the answer.

i need help BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Area for triangle A is 12 Triangle B is 12 triangle C is 12

The area is related to the base and it's corresponding height because they all equal each other. The triangle has added on parts and it shows they are all equal but are in a different direction.

The area of the shaded triangle is 18 because the base is 6 and the height is 6.

A, B, E

I hope this helps.

Answer:

A: is 12  

B is 12

C is 12

Step-by-step explanation:

I hope this is the correct answer (✿◡‿◡)

find an ordered pair x-2y=4​

Answers

Answer:

Step by Step:
x-2y=4
+2y +2y
x=-2y+4

x-2y=4
-4 -4
x-2y-4=0
+2y +2y
x-4=2y
Divid by 2
1/2x-2= y

x=-2y+4
x=-2(1/2x-2)+4
x=-x+4+4
x=-x+8
+x +x
2x= 8
x=4

y=1/2x-2
y=1/2(4)-2
y=2-2
y=0
(4,0)

The ordered pair for the equation x-2y=4​ will be (-4,-4).

What is the equation?

A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically discover answers to these questions.

It is given that the equation is x-2y=4​.

We have to find the ordered pair for the triangle.

You may run a test to see whether an ordered pair is a solution to an equation. Put the ordered pair's x-value into the equation after identifying it. It is clear that the ordered pair is a solution to the equation if, after simplifying, the y-value you obtain matches the y-value in the ordered pair.

The question is incomplete.

The complete question is to find the ordered pair of the equation  x-2y=4​ is the coordinates (-4,y)

x-2y=4​

-4-2y=4

-2y=4+4

2y=-8

y= -4

Thus the ordered pair will be (-4,-4).

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What is the range of the data 79,52,85,94,71,82.84,66,58,98,72,100

Answers

The answer is 48. You have to subtract the minimum data value(52) from the maximum data value(100)

Answer:

48 is the range!

Step-by-step explanation:

I hope it helped! Have a good day, dear. <3

Find the midpoint of the segment with the following endpoints.
(4,-10) and (10,0)
Help?

Answers

Answer:

(7,-5)

Step-by-step explanation:

Answer:

(7,-5)

Step-by-step explanation:

(7,-5)

please help me this is due today How many students do not prefer pepperoni pizza ??

Answers

Answer:

50%

Step-by-step explanation:

how ever many kids are in that class, divide it by 2 and that will be the amount of kids that do not prefer pepperoni (:

Find the solution to the following.Make sure you simplify. 1/2 + 2/5 , 1/2 - 2/5 , 1/2 ÷ 2/5 ,1/2 • 2/5​

Answers

Answer:

9/10,1/10,1 1/4, and 1/5

If you know the rules of adding, subtracting, dividing, and multiplying decimals, you know what to do. If not, then I can show you if you'd like

How many times greater is 1 light year in scientific notation than a 1 astronomical unit?
Light year: 9.5 x 10^12 km
AU: 1.5 x 10^8 km

Answers

Answer:

1 light year \approx 6.02 \times 10^4  astronomical unit

Step-by-step explanation:

ratio

[tex]=\frac{9.5 \times 10^{12}}{1.5 \times 10^8}\\=\frac{19}{3} \times 10^{12-8}\\\approx 6.01666 \times 10^4 \\\approx 6.02 \times 10^4[/tex]

The number of times that 1 light year is greater than 1 astronomical unit in scientific notification is; 6.33 × 10⁴

We are given;

1 light year = 9.5 × 10^(12) km

1 astronomical unit = 1.5 × 10^(8) km

Thus to find out how many times greater 1 light year is than 1 astronomical unit in scientific notation, we will divide 1 light year by 1 astronomical unit.

This gives;

(9.5 × 10^(12))/(1.5 × 10^(8))

>> (9.5/1.5) × 10^(12 - 8)

>> 6.33 × 10⁴

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There are 1,044 apartments in Baldwin County this year, which is approximately an 8.1% increase from last
year. How many apartments were there in Baldwin County last year?

Answers

Given :

Total apartments 1044 .

Increase in apartments , 8.1 % .

To Find :

How many apartments were there in Baldwin County last year.

Solution :

Let , amount of apartments last year is x .

So ,

[tex]\dfrac{1044-x}{x}\times 100=8.1\\\\(1044-x)\times 100=8.1x\\\\104400-100x=8.1x\\\\108.1x=104400\\\\x=\dfrac{104400}{108.1}\\\\x=965[/tex]

Hence , this is the required solution .

What is the value of x X+3/-6=2x
Plz help me

Answers

Answer:

x = - 0.23 or -(3/13)

Step-by-step explanation:

Question: x+3/-6 =2x

x + 3 = - 6 * 2x

x + 3 = -12x

3 = -12x - x

3 = -13x

x = - 3/13

Is -8.4 a Rational number or a Integer ?

Answers

Integers are just whole numbers and their negative counterparts.

The set of integers is shown below.

{... -3, -2, -1, 0, 1, 2, 3, ...}

Decimals are not integers but rational numbers do include them.

So -8.4 is a rational number.

Answer:

It is a rational

Step-by-step explanation:

-8.4 can be turned in to a fraction meaning it is not an whole number meaning it can not be an integer

10.51 less than the product of 42 and x to

Answers

Answer:

Step-by-step explanation:

42x - 10.51 cannot be answered

Select all the correct answers. Which sequences of transformations applied to shape I prove that shape I is similar to shape II? a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2 a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2 a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2 a reflection across the y-axis, and then a dilation by a scale factor of 2 a reflection across the x-axis, and then a dilation by a scale factor of 2

Answers

Answer:

B and C

Step-by-step explanation:

got it right on my test.

A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts. Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order

Answers

50 + 3(B) + 50 + 3(R) + 50 + 3(Y) would be the equation.

factorise completely:p^2-7p-44​

Answers

Answer:

(p-11)(p+4)

Step-by-step explanation:

p2-7p-44

by spliting the middle term

a×c=1×-44=-44

4×-11=-44

p2+4p-11p-44

p (p+4)-11 (p+4)

(p-11)(p+4)

5/8 divided by 1/4 (im in middle school and forgot everything)

Answers

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4 =

Find greatest common factor

1/4 = x/8

Multiply Top and bottom by greatest common factor

1/4 x 2/2 = 2/8

Subtract

5/8 - 2/8 = 3/8

HELPPP!!!!! Matthew decides to buy expensive designer jeans. Less expensive jeans are available,
but the added cost of the designer brand is worth it to Matthew most likely because

he has a limited income
he prefers designer brands
his budget is restricted
o the alternatives cost more

Answers

He prefers designer brands, the other ones make no sense as they talk about the designer pants being cheaper. Hope this helps!

Suki split five dogs treats equally among her six dogs. What fraction represents this division.

Answers

Answer:

5/6

Step-by-step explanation:

We can find the fraction by dividing 5 by 6, since there are 5 treats and 6 dogs.

5/6 will be the fraction representing the division

Denver is about 5200 ft above sea level which number line best represents this integer​

Answers

Answer:

A or the first one

Step-by-step explanation:

the second graph is below 5000 so this is not right

the third graph is in the negatives so this is not right

the 4th graph is also a negative so this is not true

this only leaves the first graph

A or the first choice.

What is the additive inverse of 0?

Answers

Answer:

The additive inverse of 0 is 0.

Answer:0

Step-by-step explanation:

The number 0 is the only number with its additive inverse being itself. That is, the additive inverse of 0 is 0.

PLSSS HELP!! Select the number that would make this statement true: 628 ÷ ________ = 0.628


10 to the power of 1

10 to the power of 2

10 to the power of 3

10 to the power of 4

Answers

Answer:

10 to the power of 3

Step-by-step explanation:

i used a calculator (´-﹏-`;) - Hope this helps

solve 4 < -2x + 3 < 9

Answers

ANSWER:

-3<x<-0.5.............

. A container ship is overtaking an oil tanker on the way out of Harwich Harbor, and the first mate notices that if he starts walking from the front of the container ship when the two ships start overlapping, he reaches the back as the two ship separate. He walks at 3 km/hour. If the container ship is 100 m long, and travelling at 12 km/hour, how long is the oil tanker?

Answers

Answer:

The length of the oil tanker is 300 meters

Step-by-step explanation:

The given parameters are;

The speed with which the first mate is walking = 3 km/hour = 3,000 m/hour

The length of the container ship = 100 m

The speed with which the container ship is travelling = 12 km/hour

The time it takes the first mate to walk from the front to the back of the container, [tex]t_f[/tex] is therefore;

Time = Distance/Speed

[tex]t_f[/tex] = 100 m/(3000 m/hour) = 1/30 hour = 1/30 hour × 60 min/hour = 2 minutes

∴ [tex]t_f[/tex] the time it takes the first mate to walk from the front to the back of the container = 2 minutes

The resultant speed of the first mate relative to the ground = 12 km/hour - 3 km/hour = 9 km/hour

Given that the first mate starts at the front when the two ships starts overlapping and reaches the back as the two ships separate, we have;

The speed of the oil tanker relative to the container ship = The speed of the first mate relative to the ground

The speed of the oil tanker relative to the container ship = 9 km/hour

The length of the oil tanker = The speed of the oil tanker relative to the container ship × Time of observation of the first mate

∴ The length of the oil tanker = 9 km/hour × 2 minutes = 9 km/hour × 1/30 hours = 3/10 kilometers = 0.3 kilometers = 300 meters

The length of the oil tanker = 300 meters.

Simplify by combining like terms.

1. 6r+3s+2s+4r

2. 0.5-x

Answers

Answer:

10r + 5s and the second one stays the same because 0.5 doesn't have the variable x so u leave it the same. Hope this helps

Step-by-step explanation:

What is the value of p +9 when p=13.

Answers

Answer: 22

Step-by-step explanation: p=13 so if you make p into an equation it would be shown as p+9=22, or it could also be 13+9=22


What single percentage change is equivalent to a 9% increase followed by a 17% increase

Answers

Answer:

27.53%

Step-by-step explanation:

Initial number = 100

9% increase

100*1.09= 109

17% increase

109*1.17= 127.53

The difference with the initial number is:

127.53 - 100 = 27.5327.53/100*100% = 27.53%

This is the single percentage change

What is the difference of -9 - 17 =

Answers

Answer:

the difference of -9 - 17 = -26

P is between A and E, AE=27.3 and AP=12.8. What is the length of PE?

Answers

answer: 14.5

i could be wrong if i am so sorry

The length of line PE from the distance AE is 14.5

The schematic view showing the illustration of the question is shown in the image attached below.

Given that:

line AE = 27.3line AP = 12.8

Line AP shows the distance halfway to line AE.

In order to determine the value of line PE, we need to subtract the value of line AE from PE.

i.e.

AE = 27.3 - 12.8AE = 14.5

Therefore, we can conclude that the length of PE is 14.5

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Question 5 (1 point)
Which of the following statements about rigid transformations is FALSE?
The shape and size are not preserved.
2:
In a reflection, the points on the pre-image and image are the same distance
from the line of reflection.
3:
Either the shape or the size is not preserved.
In a rotation, the points of the pre-image are always the same distance away
from the center of rotation as the corresponding points of the image.
4:

Answers

Answer:

The false statements are;

The shape and size are not preserved

3: Either the shape or the size is not preserved

Step-by-step explanation:

A rigid transformation, in mathematics, is a planar transformation, preserving, the length or linear dimensions of the original figure or pre-image. Examples of rigid translation includes, rotation, reflection, translation, and their combinations of these transformations.

Rigid transformation is one where a geometric shape in an Euclidean space is transformed such that the spatial distances between any two points is maintained

Therefore, both the shape of the figure or pre-image and its size are preserved.

Simplify 12r + 5 + 3r - 5

Answers

Answer:

Step-by-step explanation:(12r+3r)+(5-5) = 15r + 0 = 15r

The simplified expression is 15r.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

12r + 5 + 3r - 5

Add like terms.

= 15r + 5 - 5

= 15r + 0

= 15r

Thus,

15r is the simplified expression.

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