An engineer is tasked with doubling the length and width of a city park. The engineer draws the park on a coordinate plane and labels it ABCD. Find the area of the park before and after the expansion. A coordinate plane with Square A B C D plotted. Point A is at zero comma three. Point B is at thee comma three. Point C is at three comma zero, Point D is at zero comma zero. A photo of a park with a caption that says, dimensions of park are being doubled. What is the area of the park before the expansion?

Answers

Answer 1

The vertex coordinates of the park the engineer draws, A(0, 3), B(3, 3),

C(3, 0), D(0, 0) give the area of the park before expansion as 9 unit².

How can the area of the park be found?

The shape of the park = A square

The vertices of the park = ABCD

The coordinates of the point are; A(0, 3), B(3, 3), C(3, 0), D(0, 0)

The length of side AB = 3 - 0 = 3

Length of side BC = 3 - 0 = 3

Length of side CD = 3 - 0 = 3

Length of side AD = 3 - 0 = 3

Therefore, the park is a square with side length, s = 3 units

The area of a square, A = Side × Side =

The area of the park before expansion, A = 3 unit × 3 unit = 9 unit²

Learn more about finding the area of geometric shapes here:

https://brainly.com/question/316492


Related Questions

Hurry please!
What is the slope of a line parallel to the line whose equation is
5x – 3y = 18.
Fully simplify your answer.

Answers

Answer:

5/3, or 1.(6)

Step-by-step explanation:

find slope-intercept form

5x-3y=18

5x=3y+18

3y=5x-18

y=5/3x-6

slope is 5/3, or 1.(6)

The slope is 5/3 or 1.6.

What is a slope?

It is the measure of the steepness of a line.

Given that

5x-3y = 18

Rearrange the equation

i.e. 5x-18 = 3y

y = (5/3)x - 6

The general form of the slope-intercept equation is

y = mx+c

By comparing the two equation, we get slope as

Slope of the line,m = 5/3 = 1.6

Hence, the slope of the given line is 1.6.

To learn more about slope, use the link given below:

https://brainly.com/question/3605446

#SPJ2

In the data set (0,-1);(-2,4);(-4,-8);(-1,5);(2,1);(3,-2);(-1,2)},which point is a possible outlier?

Answers

If it’s possible just graph:
Here you can see (-4,-8) is far away from the other points.

If you want a mathematical explanation basically look for trends in the data, and the rest of the points trend negative linear.

If you want to use formulas or equations there’s a very complicated one online, that is very difficult to understand.

If continuous random variable X is normally distributed, with µ = 8.7 and σ = 3.9, what is P(X > 14)?

12.30%
87.70%
91.31%
8.69%

Answers

Answer:

I believe it is number 3.

What is 10,274 - 100,000

Answers

Answer:

_89,726

Step-by-step explanation:

This would be a negative answer in less you mean 100,000 - 10,274.

This would be negative because 10,000 per say can't subtract 100,000 in less it goes on the negative side.

But if you meant 100,0000-10,274 it is the same answer just with no nefative sign

Hope this heos have a great day

(3 4.1. A book is bought for R 50 and sold for R80.What is the percentage profit? unntmont?​

Answers

Answer:60%

R80-R50=R30

R30/R50*100%=60%

Step-by-step explanation:

If a 16-ounce can of soda has 45 calories per 8 ounces, how many calories are in the can?

Answers

Answer: 90

Step-by-step explanation:

if its 45 for 8 ounces 8+8=16 so just do 8 times 2 to get 16 ounces and do 45 times 2 to get 90.

It is possible to trisect a line segment using only a straightedge and compass.
True or false?

Answers

Answer:

True if the question means a compass and straight edge.

Step-by-step explanation:

Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Answer:

True

Step-by-step explanation:

Yes, if the question means a compass and straight edge. Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Pls, choose me as brainliest!

When 2^7 is written as a repeated multiplication product, the only factor is

Answers

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

Find 20% of 75:please help

Answers

Answer:

hi its 15

Step-by-step explanation:

20% as a decimal is 0.20

0.20 x 75 is 15

give brainliest? (click the crown at the top)

Write the phrase as an expression. Then evaluate the expression when x=2 . 8 more than a number x An expression is . The value of the expression is .

Answers

46
Explanation:
First, we must write the mathematical form for "the product of 8 and a number x":
8
×
x
Then "6 more than this" would be:
(
8
×
x
)
+
6
So, to evaluate for
x
=
5
we substitute
5
for
x
and calculate:
(
8
×
5
)
+
6

40
+
6

46

A triangular prism has a height of 12 cm. The triangular base is a right triangle whose side lengths are 3 cm, 4 cm, and 5 cm. What is the total surface area?

Answers

Answer:

The volume of the prism is 72 cubic cm.

Step-by-step explanation:

This we know because a triangle with sides of 3 units, 4 units, and 5 units must be a 3–4–5 right triangle, the catheti (“legs”) of which are 3 and 4 units. So the area of the base is

3 cm. * 4 cm. / 2 = 6 square cm.

Lastly, the volume of the prism is the base area multiplied by the height:

6 square cm. * 12 cm. = 72 cubic cm.

I want 5 halves of a cupcake for myself 6 halves for my friend and 1 half for our other friend

Answers

Answer:

5+6=11+1=12

Step-by-step explanation:

what is 12 halves? 6

In the figure, j∥k and m∠1 = 63°.

What is the m∠4?

Enter your answer in the box.

°

Line t diagonally crossing parallel lines j and k (reading from top to bottom). Angles formed by t crossing j are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by t crossing k are labeled five through eight, starting at top right and going counterclockwise.

Answers

Answer: 117

Step-by-step explanation:

Answer: 117

Step-by-step explanation: K12 Quiz, The answer above is correct.

Solve 3x - 6 > 8 using inverse operations

Answers

Answer:

x > 14/3

Step-by-step explanation:

3x > 8 + 6

3x > 14

x > 14/3

Answer:

x > 14/3

Step-by-step explanation:

[tex]3x-6 > 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x > \frac{14}{3}\:\\ \:\mathrm{Decimal:}&\:x > 4.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{14}{3},\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Add\:}6\mathrm{\:to\:both\:sides}[/tex]

[tex]3x-6+6 > 8+6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3x > 14[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3} > \frac{14}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > \frac{14}{3}[/tex]

[RevyBreeze]

Find the measures of the numbered angles in rhombus ABCD .
look for all four measures numbered in the photo

Answers

Answer:

<1=54, <2=36, <3=90, <4=36

Step-by-step explanation:

in the rhombus shown, there are 4 congruent right triangles because the disgonals of a rhombus are perpendicular and the sides of a rhombus are congruent. We already know that the larger acute angles are all 54 degrees and we can use triangle sum to find that the smaller acute angles are all 36 degrees. Obviously the right angles are 90 degrees, so we can look at the picture and find the marked angles.

2x+5y=0
3x-4y=23
solve the following simultaneous equation

Answers

Answer:

[tex]x = 5[/tex], [tex]y = -2[/tex]

Step-by-step explanation:

[tex]2x + 5y = 0[/tex]

[tex]3x - 4y = 23[/tex]

By using substitution:

[tex]2x + 5y = 0[/tex]

[tex]2x = -5y[/tex]

[tex]x = -\frac{5}{2}y[/tex]

[tex]3x - 4y = 23[/tex]

[tex]3 (-\frac{5}{2} y) - 4y = 23[/tex]

[tex]-\frac{23}{2} y = 23[/tex]

[tex]y = -2[/tex]

[tex]x = -\frac{5}{2} y[/tex]

[tex]x = -\frac{5}{2} (-2)[/tex]

[tex]x = 5[/tex]

If the rise is 6 and the run is 2, what is the slope?
4
3
8
-3

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{rise}{run} =\frac{6}{2}=3[/tex]

Hope this helps!

The slope is [tex]\frac{rise}{run} =\frac{6}{2} =3[/tex]

Thus the slope is 3.

PLEASE HELPPPPPPPPPP!!!! AI HAVE 10 MINUTES LEFTTTTT

Answers

The formula is in a quadratic formula shape: [tex]y = ax^2+bx+c[/tex]

The function is negative since the value 'a' the coefficient of x^2 is negative meaning that the quadratic function is facing downards. If you don't get this explanation, take a look at the diagram I uploaded.

That means the highest point of the graph is its vertex.

But we must find where the vertex is at or the 't' value.

   't' value at which vertex is = [tex]-\frac{b}{2a} =-\frac{16}{2*(-16)} =\frac{1}{2}[/tex]

Now plug this 't' value into h(t) to find the maximum height, and we will get 36 feet.

Hope that helps!

I need helpppppppppppppppp

Answers

Answer:

b 60 -4x 50 +2x=2,800 is 50 +. 2x

Which expression is equivalent to 5x+10y-15?
5(x-2y-3)
5(x+5y-10)
5(x+2y-3)
5(x+2y-15)

Answers

it’s the last answer

Answer:Third optionoption

Step-by-step explanation:

a group of friends go scuba diving. they rent a boat for x days and scuba gear for y people, represented by the equation 120x+50y=1000

how much money is spent in total?​

Answers

friends go scuba diving. they rent a boat for x days and scuba gear for y people, represented by the equation 120x+50y=1000

how much money is spent in total

Please help me ASAP!!!!!!

Answers

Answer:

The last one

Step-by-step explanation:

A positive multipled by a negative equals to negative

expand and simplify x(x-4)(x-1)​

Answers

Answer:

x^3 - 5x^2 +4x

Step-by-step explanation:

x(x-4)(x-1)​

(x^2-4x)(x-1)

x^3-x^2-4x^2+4x

simplify

x^3-5x^2+4x

Answer:

Expand:

This is in its expanded form.

Simplify:

First do the x and the (x-4)

distribute the x

(x^2-4x)

Then FOIL or draw you grid and multiply out.

x^2 times x = x^3

x^2 times -1 = -x^2

-4x times x = -4x^2

-4x times -1 = 4x

Combine like terms.

x^3 + (-4x^2 -x^2) + 4x

Answer : x^3 - 5x^2 + 4x

answer this please
prove triangle are congruent if the two column proof​

Answers

Answer:

Step-by-step explanation:

A store has 32 boxes of candles. Each box contains 24 candles. What is the total number of candles?

Answers

Answer:

The total amount of candles is 768.

Step-by-step explanation:

Why? If there are 32 boxes of candles and 24 candles are in each box you would have to multiply 32x24 which is = to 768 candles in each box.

Zoe is exactly twelve and one-half years old, and her niece Yolonda is one-third as old as Zoe. Yolanda is ? Months old

Answers

Answer:

The answer is 4.16!

Step-by-step explanation:

i think that is right

HELP ASAP EASY THING IM JUST DUM There are 8 tenths and 24 hundredths. After regrouping hundredths into tenths, there are ? tenths and ? hundredths. After regrouping tenths into wholes, there are
? whole, ? tenths, and ? hundredths.

Answers

Answer: 8 wholes 2 tenths 4 hundredths.

Explanation: First it tells us there are 8 tenths and 24 hundredths. Then we regrouped hundredths into tenths which would give us 2 since if we had 20 we’d be in the thousandths. Don’t forget also that it said to change the tenths into wholes which we did with 8.

Answer:

8 wholes 2 tenths 4 hundredths

Step-by-step explanation:

We just take apart the numbers and give them to other numbers. Hope it helped!

Find the length of AB

Answers

Answer:

D

Step-by-step explanation:

calculate AB using the distance formula

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

with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )

AB = [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]

     = [tex]\sqrt{5^2+8^2}[/tex]

     = [tex]\sqrt{25+64}[/tex]

     = [tex]\sqrt{89}[/tex]

     ≈ 9.4 units ( to 1 dec. place )

Answer:

[tex]D:\:about\:9.4\:units[/tex]

Step-by-step explanation:

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

[tex]AB =[/tex] [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]

[tex]=\sqrt{5^2+8^2}[/tex]

[tex]=\sqrt{25+64}[/tex]

[tex]=\sqrt{89}[/tex]

[tex]9.4\:\:units\:[/tex]

what shape are these​

Answers

Answer:

Those are quadrilaterals

Answer: Square Rhombus

Step-by-step explanation:

If a total of 1,176 dancers at a beyonce music video audition are divided into 6 equal sized teams how many dancers are on each team

Answers

Answer:

196

Step-by-step explanation:

1176/ 6

= 196 dances are on each team

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