Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work.

Answers

Answer 1

Answer: P = 6 miles

Step-by-step explanation: A rectangle is a quadrilateral with opposite sides with the same measure. As Central Park is one, its parallel sides has the same measurement.

Distance of points gives the measurement of the sides of the rectangle. It is calculated as:

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

For the first two points, (-1.25,-0.25) and (-1.25,0.25), note that x-components is the same, so, only y-component is relevant to the distance:

[tex]d=\sqrt{(-1.25+1.25)^{2}+(0.25+0.25)^{2} }[/tex]

[tex]d=\sqrt{(0.5)^{2} }[/tex]

d = 0.5

Two sides of the rectangle are 0.5 miles.

For points (-1.25,0.25) and (1.25,0.25), y-component will add 0 to the formula. Then,

[tex]d=\sqrt{(1.25+1.25)^{2}+(0.25-0.25)^{2} }[/tex]

[tex]d=\sqrt{(2.5)^{2}}[/tex]

d = 2.5

Two sides of the park are 2.5 miles.

Perimeter is the sum of all the sides of a geometric figure.

Perimeter of central Park is

P = 0.5+0.5+2.5+2.5

P = 6

Central Park has perimeter of 6 miles.


Related Questions

somebody plz help this is algebra ll I need help fast plz anyone?

Answers

Answer:

the answer is A.

Step-by-step explanation:

Solve the two-step equation.
- 2/3 x - 21/4 = 27/4

Answers

Answer:

x = -18

I hope this helps!

Answer:

X- (-18)

Step-by-step explanation:

Hope this helps:)

8/2=6/n+4 Solve for n

Answers

Answer:

No solution (because the n's cancel out!)

Step-by-step explanation:

Let's solve your equation step-by-step.

8

2

=

6

n

+4

Multiply all terms by n and cancel:

8n

2

=6+4n

4n=4n+6(Simplify both sides of the equation)

4n−4n=4n+6−4n(Subtract 4n from both sides)

0=6

Answer:

No solutions.

(1 point) Find the volume of the parallelepiped with one vertex at (4,2,4), and adjacent vertices at (6,3,8), (6,1,10), and (0,6,3)

Answers

Answer:

8 cubic units

Step-by-step explanation:

Let he vertices of the parallelepiped be A = (4,2,4), B= (6,3,8), C = (6,1,10) and D =  (0,6,3)

The edges of the parallelepiped are

AB = (6,3,8)  - (4,2,4) = (2,1,4)

AC = (6,1,10) - (4,2,4) = (2,-1,6)

AD = (0,6,3) - (4,2,4) = (-4,4,-1)

Therefore the volume of the parallelopiped is = |[AB,AC,AD]|

=  [tex]$ \begin{vmatrix}\ 2\ \ \ 1\ \ \ \ 4\ \\2\ -1\ \ \ 6 \\-4\ \ \ 4\ -1 \end{vmatrix}$[/tex]

= |2(1-24)+1(-2+24)+4(8-4)|

= |2(-23) + 1(22) + 4(4)|

= |8|

=8 cubic units

Erin is considering joining one of 2 swim clubs. The Gators Swim Club has no registration fee, but charges $105 per month. The Tidal Wave Swim Club charges members $80 per month plus a one-time registration fee of $375. For how many months is Gators the cheaper option? Use system of equations and define variables

Answers

Answer:

14 months

Step-by-step explanation:

Given

Gator's = $105 monthly charges

Tidal Wave = $375 registration fee + $80 monthly charged

Required

Determine for how many months Gators is cheaper

Let the number of months be x;

Represent the given data, algebraically.

For Gators: 105x

For Tidal Wave: 375 + 80x

Represent the above as a n inequality

Since Gators has to be cheaper; we have

[tex]105x < 375 + 80x[/tex]

Collect Like Terms

[tex]105x - 80x < 375[/tex]

[tex]25x < 375[/tex]

Divide both sides by 25

[tex]x < 15[/tex]

This implies that Gator's will be cheaper for months less than 15

Hence, the number of months is 14

16-2v+3 what is the answer pls help

Answers

Answer:

the answer is 19-2v combine like terms if not that then try this....

19-2y=0

-2y=-19

Then divide by -2

y=-19/-2

=9.5

A group of 8 children and 8 adults are going to a movie. Child tickets cost $2, and adult tickets cost $6. How much will the movie tickets cost in all?

Answers

Answer:

Hey there!

8(2)+8(6)

16+48=64

The total price is 64 dollars.

Let me know if this helps :)

The oral cost will be $64
2x8=16
6x8=48

7-(5t - 13)= -12 need help!!!

Answers

Answer:

t = 32/5

Step-by-step explanation:

7 - (5t - 13) = -12

7 - (5t - (-13) = -12

7 - 5t + 13 = -12

-5t = -12 - 13 - 7

-5t = -32

t = -32 / -5

t = 32/5

T 32/5 llllllllllllllllllll

Solve each of the following equations. Be sure to check your solutions.
3x-5=2.5x+3-(x-4)

Answers

Answer:  x=8

Step-by-step explanation:

3x - 5= 2.5x + 3 -(x-4)   apply the distributive property

3x -5 = 2.5x + 3 - x + 4     combine like terms  on the right side

3x - 5 = 1.5x + 7            Add 5 to both sides

    +5             +5

3x = 1.5x + 12      subtract 1.5x from both sides

-1.5x  -15.x

1.5x = 12       Now divide both sides by 1.5

x = 8

Plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Complementary

Step-by-step explanation:

Complementary Angles add up to 90°

Supplementary Angles add up to 180°

60 + 30 = 90

It is complementary, because complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees.

Find the measures of angles 1-10

Answers

Answer:

1) 78

2) 28

3) 74

4) 28

5) 74

6) 106

7) 74

8) 74

9) 78

10) 78

Find the distance between each pair of points.

Answers

Answer: the distance is 9,

Step-by-step explanation: If you count the blocks you will see it's nine! Hope this helped you!

The acceleration of an object due to gravity is 32 feet per second. What is acceleration due to gravity in inches per second?

Answers

Answer:

384 inches per second.

Step-by-step explanation:

We are given that the acceleration of an object due to gravity is 32 feet per second.

And we want to find the acceleration in inches per second.

The acceleration can be represented as a ratio of 32 feet : second. This can be written as a fraction:

[tex]\displaystyle \frac{32\text{ feet}}{\text{second}}[/tex]

Use dimensional analysis. It is known that there is 12 inches in a feet. So, multiply by 12in/feet:

[tex]\displaystyle = \frac{32\text{ feet}}{\text{second}}\cdot\frac{12\text{ inches}}{\text{feet}}[/tex]

Cancel like units:

[tex]\displaystyle =\frac{32\cdot 12\text{ inches}}{\text{second}}[/tex]

Multiply:

[tex]\displaystyle =\frac{384\text{ inches}}{\text{second}}[/tex]

In conclusion, our answer is 384 inches per second.

In this figure Ab and cd are parallel.

Answers

Answer:

figure is not available...

If 20% of x is y, and 30% of y is z, then what percent of x is z?

Answers

Your answer is 6% of x.

We can write the given information as equations to find the answer:

Another way to write "20% of x" is to write 0.2x, so therefore 0.2x = y

You can also write "30% of y" as 0.3y, so 0.3y = z

Now we can substitute in the first equation to the second equation, as we know what y equals in terms of x:

0.3(0.2x) = z

Multiplying out we get:

0.06x = z, and 0.06 as a percentage is 6%

I hope this helps!

Find the area of the triangle.
16 in.
25 in.
The area is
square inches.

Answers

Answer:

A=200 in

Step-by-step explanation:

[tex]A=\frac{1}{2} (bh)\\A=\frac{1}{2} (16*25)\\ A=\frac{1}{2} (400)\\ A= 200 in[/tex]

Yeshabbashsjshxbdhdjdjdjfj

For each of the following questions, solve for the unknown quantity by rearranging the given equation.For numerical answers, make sure to express all answers in scientific notation with the proper number ofsignificant figures. Be careful to write out all units and convert if necessary.a. F=GMm/r^2a. M =b. r =b. M=kxa^3/p^2a. P =b. a =

Answers

Answer:

a. F=GMm/r^2; a. M =

[tex]M = \frac{Fr^{2} }{Gm}[/tex]

a.  F=GMm/r^2; b. r =

[tex]r = \sqrt{\frac{GMm}{F} \\}[/tex]

b. M=kxa^3/p^2; a. P =

[tex]p = \sqrt{\frac{kxa^{3}}{M}}[/tex]

b. M=kxa^3/p^2; b. a =

[tex]a = \sqrt[3]{\frac{Mp^{2}}{kx} }[/tex]

Step-by-step explanation:

For a.  F=GMm/r^2; a. M =

To solve for M, we will rearrange the given equation F=GMm/r^2 such that M is the subject of the formula

From

F=GMm/r^2

[tex]F = \frac{GMm}{r^{2} }[/tex]

First, Cross multiplication, we then get

[tex]Fr^{2} = GMm[/tex]

Now, divide both sides by [tex]Gm[/tex]

[tex]\frac{Fr^{2} }{Gm} = \frac{GMm}{Gm} \\[/tex]

The equation becomes

[tex]\frac{Fr^{2} }{Gm} = M[/tex]

∴ [tex]M = \frac{Fr^{2} }{Gm}[/tex]

For a.  F=GMm/r^2; b. r =

Also, to solve for r, we will rearrange the given equation F=GMm/r^2 such that r is the subject of the formula

From

F=GMm/r^2

[tex]F = \frac{GMm}{r^{2} }[/tex]

First, Cross multiplication, we then get

[tex]Fr^{2} = GMm[/tex]

Now, divide both sides by [tex]F[/tex], Such that we have

[tex]\frac{Fr^{2} }{F} = \frac{GMm}{F} \\[/tex]

Then, [tex]r^{2} = \frac{GMm}{F} \\[/tex]

∴ [tex]r = \sqrt{\frac{GMm}{F} \\}[/tex]

For b. M=kxa^3/p^2; a. P =

To solve for P, we will rearrange the given equation M=kxa^3/p^2 such that P becomes the subject of the formula

From

M=kxa^3/p^2

[tex]M = \frac{kxa^{3}}{p^{2} } \\[/tex]

First, Cross multiply, we then get

[tex]Mp^{2} = kxa^{3}[/tex]

Divide both sides by [tex]M[/tex], such that the equation becomes

[tex]\frac{Mp^{2} }{M} = \frac{kxa^{3}}{M}[/tex]

Then, [tex]p^{2} = \frac{kxa^{3}}{M}[/tex]

∴ [tex]p = \sqrt{\frac{kxa^{3}}{M}}[/tex]

For b. M=kxa^3/p^2; b. a =

To solve for a, we will rearrange the given equation M=kxa^3/p^2 such that a becomes the subject of the formula

From

M=kxa^3/p^2

[tex]M = \frac{kxa^{3}}{p^{2} } \\[/tex]

First, Cross multiply, we then get

[tex]Mp^{2} = kxa^{3}[/tex]

Now, Divide both sides by [tex]kx[/tex], such that the equation gives

[tex]\frac{Mp^{2}}{kx} = \frac{ kxa^{3}}{kx}[/tex]

Then, [tex]\frac{Mp^{2}}{kx} = a^{3}[/tex]

[tex]a^{3} = \frac{Mp^{2}}{kx}[/tex]

∴ [tex]a = \sqrt[3]{\frac{Mp^{2}}{kx} }[/tex]

Sena determines the remainder of 4x32−14x16+2x3−8x−1, using the remainder theorem. How does she proceed to the correct answer? Drag a value into each box to correctly complete the statements.

Answers

Answer: x = 1 and -16

Explanation:

(4x^32 - 14x^16 + 2x^3 - 8)/x - 1

x - 1 = 0
x = 1

f(x) = 4x^32 - 14x^16 + 2x^3 - 8
f(1) = 4(1)^32 - 14(1)^16 + 2(1)^3 - 8
f(1) = 4 - 14 + 2 - 8
f(1) = -10 - 6
f(1) = -16

Therefore, the remainder is -16

someone please help me with this question !!

Answers

The answer is 12^8/9

A rectangle has a perimeter of 60 inches. The length of the rectangle is 3 inches less than twice the width
What is the length of the rectangle?

Answers

Answer:

length = 19 units

Step-by-step explanation:

width = x

length = 2x-3

width = 11 units

length = 2(11)-3

length = 22-3

length = 19 units

perimeter = 11 + 11 + 19 + 19 = 60 units

The perimeter of a shape is the sum of the side lengths of the shape. The length of the rectangle is 19 units.

Given that:

[tex]Perimeter = 60[/tex]

[tex]Length = 2 \times Width -3[/tex]

The perimeter of a rectangle is:

[tex]Perimeter = 2 \times (Length + Width)[/tex]

So, we have:

[tex]60= 2 \times (2\times Width - 3+ Width)[/tex]

Divide both sides by 2

[tex]30= 2\times Width - 3+ Width[/tex]

Collect like terms

[tex]3 + 30= 2\times Width + Width[/tex]

[tex]33= 3Width[/tex]

Divide both sides by 3

[tex]11= Width[/tex]

Rewrite as:

[tex]Width = 11[/tex]

Recall that: [tex]Length = 2 \times Width -3[/tex]

[tex]Length = 2 \times 11 - 3[/tex]

[tex]Length = 22- 3[/tex]

[tex]Length = 19[/tex]

Hence, the length of the rectangle is 19 units.

Read more about perimeters at:

https://brainly.com/question/6465134

Explain the difference between congruence and equality. Use an example. GIVING BRAINLIEST!!!!!!!!

Answers

Answer:

Congruence is a relationship of shapes and sizes, such as segments, triangles, geometrical figures, while equality is a relationship of sizes, such as lengths, widths, heights.

Congruence deals with objects while equality deals with numbers. You wont say that two shapes are equal or two numbers are congruent.

Step-by-step explanation:

Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .

Answers

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

y + 484 = 4(x² + 22x + 121)

y + 484 = 4(x + 11)²

subtract both sides by 484

y = 4(x + 11)² - 484

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

there are 16 circles and 20 squares. What is the simplest ratio of circles to total shapes

Answers

Answer:

4 : 9

Step-by-step explanation:

Step 1: Find total amount of shapes

16 circles + 20 squares = 36 total shapes

Step 2: Write out ratio of circles to total shapes

16 : 36

Step 3: Simplify by dividing both numbers by 4

16/4 : 36/4

4 : 9

Evaluate the expression 2(8 − 4)2 − 10 ÷ 2.

Answers

11 . typing dis to having more words

PLEASE HELP ASAP


You are studying meteorology and collect weather data for Gainesville, FL for the months of April, May, and June 2015. The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015. Evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation. T ( 57 ) =____________

Answers

Answer:

90.5

Step-by-step explanation:

T(57)=.18(57)+80.25

T(57)=10.26+80.25

T(57)=90.51   (round to the one descimal place)

your answer would be

T(57)=90.5

The temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Given,

The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015.

We need to evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation.

What is a function?

A function has an input and an output.

Example:

f(x) = x + 5

x = 1

f(1) = 1 + 5 = 6

1 = input

6 = output

Find T(x) at t = 57.

We have,

T(x) = 0.18 x + 80.25

T(57) = 0.18 x 57 + 80.25

T(57) = 10.26 + 80.25

T(57) = 90.51

Rounding to one decimal place.

90.51 = 90.5

T(57) = 90.5

T(57) = 90.5 means that the temperature for 57 days from April 1 2015 is 90.5

Thus the temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Learn more about finding temperature differences at different points of time here:

https://brainly.com/question/17864807?referrer=searchResults

#SPJ2

1800 people attended the National Day dinner in a certain constituency Given that 35.5 of them were. men, 40 % of them were women and the rest were children, find the number of children who attended the dinner​

Answers

children

25.5 %

so 25.5% of 100

495

A pizza stand offers hand-tossed, pan, and thin crust pizza. How many outcomes
are there?

Answers

Don't quite understand the question so I'm gonna provide 2 answers

The simplest one being 3

If you're making combinations then 7

hand-tossed(1), thin(2), pan(3), hand-tossed and thin(4), hand-tossed and pan(5), thin and pan(6), all 3(7)

Quadrilateral A'B'C'D'A

B

C

D

A, prime, B, prime, C, prime, D, prime is the result of translating quadrilateral ABCDABCDA, B, C, D by 555 units to the left and 555 units down.

Answers

Answer:

14.2

Step-by-step explanation:

= AB+BC+CD+DA

= 2.2+4.5+6.1+1.4

= 14.2

​  

Answer: 14.2

Step-by-step explanation:

Khan Academy

Help me with this question plz thx!!​

Answers

Answer:

9x² - 9y + 9

Step-by-step explanation:

Step 1: Write out expression

3 - 2y - 1 + 5x² - 7y + 7 + 4x²

Step 2: Combine like terms (x²)

9x² + 3 - 2y - 1 - 7y + 7

Step 3: Combine like terms (y)

9x² - 9y + 3 - 1 + 7

Step 4: Combine like terms (constants)

9x² - 9y + 9

How would 5,608,912,013 be written in word form?

Answers

Answer:

Five billion, six-hundred and eight million, nine-hundred and twelve thousand, and thirteen.

Hope this helps!

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