A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park? 2 answers

Answers

Answer 1

Answer:

6.25 km^2.

Step-by-step explanation:

Let the park be x km wide. Then it's length is 4x km.

Perimeter = 2(Length + width)

12.5 = 2(4x + x)

2*5x = 12.5

x = 12.5 /10 =1.25 km.

So the park is 1.25 km wide and 4*1.25 = 5 km long.

The area of the park = 1.25 * 5

= 6.25 km^2.

Answer 2

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.

Then the equation is given as,

L = 4W

Then the perimeter of the garden is given as,

12.5 = 2(L + W)

12.5 = 2(4W + W)

6.25 = 5W

W = 1.25 km

Then the length is given as,

L = 4 x 1.25

L = 5 km

Then the area of the garden is given as,

A = 5 x 1.25

A = 6.25 square km

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

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Related Questions

WORTH 20 POINTS PLS HURRY

A sentence with antonyms has two words with

somewhat different meanings
opposite meanings
similar meanings
the same meanings

Answers

Answer:

opposite meanings

Step-by-step explanation:

antonyms usually means a word that's the opposite of another word. Examples: hot is the opposite of cold and cold is the opposite of hot

Graph the following features: Y-intercept = 3 Slope 4/3​

Answers

Answer:

Y = 4/3x + 3

Step-by-step explanation:

Hi, I am not sure if you want me to grah this or not. However, I have still provided you with the formula for this line.

If f(x) = 2x2 1, what is f(x) when x = 3? 1 7 13 19

Answers

In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.

Hence D)19 Is the correct answer.

What is an Equation?

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given that;

f(x) = 2x² + 1, what is (fx) when x = 3

We substitute 3 for x in the equation

f(x) = 2(3)² + 1

f(x) = 2(9) + 1

f(x) = 18 + 1

f(x) = 19

In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.

Hence D)19 Is the correct answer.

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Answer:

19

Step-by-step explanation:

did the test on edge

Help me find the figure , area formula and the area

Answers

The figure is a rectangle so the formula is area = length *width

So the area is 432

Answer:

We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle.  This means that we are able to use the area formula for the rectangle which is [tex]A=l*w[/tex].

Therefore, we can just multiply 27 cm by 16 cm and we get [tex]A = 432\ cm^2[/tex]

Hope this helps!  Let me know if you have any questions

Work out the length of x

Answers

Answer:

x=2

Step-by-step explanation:

x=14cm/7cm

x=2cm

waakan jawaabta kafaa ideesi wcan

A good’s demand is given by: p = 479 – 2q. At p = 80, the point price elasticity is:

Answers

If the value of the p is 80 and the equation is p = 479 – 2q. Then the price point of the elasticity is 199.5.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A good’s demand is given below.

p = 479 – 2q

At p = 80, the point price elasticity will be

80 = 479 – 2q

2q = 479 – 80

2q = 399

 q = 199.5

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find the missing angles.

Answers

Answer:

1. 37 degrees, 2. 39 degrees, 3. 27 degrees

Step-by-step explanation:

You look at the total angle and subtract it by the angle that is given in the question since the two angles should add up to the whole angle of both. You should look at the number that is outside the angles and subtract it by the angle number inside then you will get the missing angles. The last one it is showing a 90 degree angle which is formed so you subtract 63 from 90.

Enter the value of x that makes the equation −11(x + 4) + 10x = 27 true

Answers

Answer:

x = - 71

Step-by-step explanation:

-11x -44 + 10 x =27

-x = 71

x = - 71

Answer:

-71

Step-by-step explanation:

You can first distribute the numbers in the parenthesis.

-11x-44 (-11*x-11*4)

-11x-44+10x=27

You can now combine like terms.

-11x+10x=-1x

-1x-44=27

This is now a two-step equation problem.

-1x-44=27

    +44=+44

     -1x=71

       [tex]\frac{-1x}{-1}[/tex] =[tex]\frac{71}{-1}[/tex]

x=-71

math problem can somebody help!!!!

Answers

Answer:

if am correct your answer will be letter d

Step-by-step explanation:

ayuda con esto ;v

9 6
- = -
6 X

Answers

Answer:

124 amigo dame corona no e tenido

What is the slope of the line represented by the equation?

Answers

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+\cfrac{1}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

The perimeter of a rectangular garden is 264 m.
If the width of the garden is 56 m, what is its length?
Length of the garden:__m

Answers

The perimeter formula for a rectangle is 2L+2W=P

We have the width and we have the perimeter

Plug those numbers in.

2L+2(56)=264

2(L)+112=264

Subtract 112 from both sides

2L=152

Divide by 2 on both sides

L=76

The length of the garden is 76 meters.

Step-by-step explanation:

Perimeter of garden = 264 m

width of the garden = 56 m

length of the garden = ?

Now..

Perimeter = 2 ( l + b )

264m = 2l + 112

264 - 112 = 2l

152 = 2l

l = 152 / 2

l = 76 m

Hence the length is 76m

[tex]...[/tex]

One side of a square is 10 units. Which is greater, the number of square units for the area of the square or the number of units for the perimeter? Explain.

Answers

Given:

[tex]\text{Side of }\square \ \text{= 10 units}[/tex]

Area of square:

The area of the square can be determined by using the formula "(side)²".

⇒ Area of square = (side)²

⇒                           = (10)²                                                   [Side = 10 units]

⇒                           = (10)(10)

⇒                           = 100 units²

Therefore, the area of the square is 100 units².

Perimeter of square:

The perimeter of the square can be found by using the formula "4(side)".

⇒ Perimeter of square = 4(side)

⇒                                   = 4(10)

⇒                                   = 4 × 10

⇒                                   = 40 units

Furthermore, the question says:

Which is greater?

- The number of square units (100) for the area of the square.

- The number of units (40) for the perimeter

Conclusion: Since 100 is greater than 40, the number of square units for the area of the square is greater than the number of units for the perimeter.

please help.

Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])
?
D
C (7x, -1y)
E
Distance Formula
B (-2x, l-4y)
d = (x2 - x;)2 + (x2 - y)?

Answers

Answer: 8y

Step-by-step explanation:

The values needed to find the length AB will be;

⇒ AB = √(3x)² + (- 8y)²

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The coordinate are,

⇒ A = (- 5x, 4y)

⇒ B = (- 2x, - 4y)

Now,

Since, We know that;

The distance between the points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,

⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²

⇒ d = √(3x)² + (- 8y)²

Thus, The values needed to find the length AB is find as;

⇒ AB = √(3x)² + (- 8y)²

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Please help me will mark brainleist
Only answer if you know, thank you!​

Answers

Using the triangle inequality theorem, the set of lengths that meet all the requirement is: 3, 4, 5, 7.

What is the Triangle Inequality Theorem?

The triangle inequality theorem states that the sum of any of the two sides of a triangle must be equal or greater than the third side, i.e. if a, b, and c are sides of a triangle, then:

a + b ≥ cb + c ≥ aa + c ≥ b

If we have the following set of numbers, 3, 4, 5, 7.

Set 3, 4, 5 will give us:

3 + 4 ≥ 54 + 5 ≥ 33 + 4 ≥ 5

This means 3, 4, 5 will form a triangle.

Set 4, 5, 7 will give us:

4 + 5 ≥ 75 + 7 ≥ 47 + 4 ≥ 5

This means 4, 5, 7 will form a triangle.

Set, 3, 5, 7 will give us:

3 + 5 ≥ 75 + 7 ≥ 37 + 3 ≥ 5

This means 3, 5, 7 will form a triangle.

Set 3, 4, 7 will give us:

3 + 4 ≥ 74 + 7 ≥ 37 + 3 ≥ 4

This means 3, 4, 7 will form a triangle.

Therefore, we can conclude that the set of lengths, 3, 4, 5, 7, meets all the requirements.

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Which expression is equivalent to P/6 +(q+8)

Answers

The awnser is c (p6+q) +8

Please Hurry!!

Find the measure of WOV. Which angle relationship did you use?

Answers

Answer:

angle wov=90-30angle wov=90-30=60

( by 90 degree given in figure

sum of wox+wov=vox

What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x 5)2 2 g(x) = (x 2)2 5 g(x) = (x – 2)2 5 g(x) = (x – 5)2 2

Answers

Answer:

13.54

Step-by-step explanation:

Answer:

the equation of the translated function is,

g(x) = (x – 5)^2 + 2

Step-by-step explanation:

got it right on edge

WILL GIVE BRAINLIST TO BEST ANSWER
Determine whenever each statement about the scatter plot is true or false
The plot shows an outlier value when the time studied is equal to 75 minutes

Answers

Answer:False

Step-by-step explanation:

3700 people attended a baseball game. 1295 of the people attending supported the home team, while 2405 supported the visiting team. What percentage of people attending supported the home team?

Answers

35% cause 1295-3700=0.35 then you move the decimal over two places making it 35.0

35% of the people support the home team at a baseball game.

As mentioned in the question,
3700 people attended a baseball game. 1295 of the people attending supported the home team, while 2405 supported the visiting team.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total of people = 3700
People who support the home team  = 1295
People who support the visiting team = 2405
Percentage of home support = 1295  / 3700 × 100
                                                  = 35%

Thus, 35% of the people support the home team at a baseball game.

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Jack can program an app in 9 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?

Answers

The time it will take Jack and Chris to program the app when they work together is 4.24 hours.

What is a rate?

Rate is a ratio that compares two different quantities which have different units.

Jack program an app in 9 hours. Therefore, the rate is as follows;

1 / 9

Chris can program the same app in 8 hours. Therefore, the rate is as follows;

1 / 8

When they do it together.

1 / 9 + 1 / 8 =  8 + 9/ 72 = 17 / 72

1 / t = 17 / 72

cross multiply

72 = 17 t

t = 72 / 17

t  = 4.23529411765

t = 4.24

Therefore, the time it takes for both of them is 4.24 hours.

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i need the answer to this question please

Answers

Answer:

B and C

Step-by-step explanation:

Hope it helps

convert R1200 to japanese yen​

Answers

Answer:

32618.30

Step-by-step explanation:

R represents Brazilian real, therefore, right now  1 real equals 27.18 yen

therefore multiply...

giving you roughly 32,618.30 yen per R1,200

(in fact, as i type this it changes)

hope this helps:)

Which graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0?
X2-
X-2+
Y

Answers

The graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is the graph attached.

What is one-sided limit for function?

It should be noted that the limit from one side is simply when the side of the functions is used with respect to the point of interest.

For this graph, the point x = 2 on the left from the point x = 2 lies a ray. The prediction here is that the value of function on x = 2 us the value that the line gives for y.

Therefore, the graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is attached.

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Find the Volume! ^^
(Giving brainiest)

Answers

Answer:

The total volume of the composite figure is 420 ft³.

Step-by-step explanation:

I'm not sure but I solved it as fast as I could

I apologize if it's incorrect :(

2). A bag contains 50 pieces of gum flavored cherry, grape, and watermelon.
William will randomly pick a piece of gum,
1
• The probability of picking cherry is 5.
7
• The probability of picking watermelon is 10.
What is the probability William will pick a piece of grape gum?

Answers

15. It kind of seems as if there is an order going on here. So my guess is 15.

Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8

a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________

Answers

Answer:

See below

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

(x - 3)(x + 8) = 0x - 3 = 0 or x + 8 = 0x = 3 or x = - 8

a) x-intercepts are

3 and - 8

b) midpoint of x-intercepts is

(3 - 8)/2 = - 5/2 = - 2.5

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

(-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25

d) f(- 2.5) = - 30.25

Answer:

[tex]\sf a) \quad x = -8 \:\:and \:\:x = 3[/tex]

[tex]\sf b) \quad \left(-\dfrac{5}{2},0\right)[/tex]

[tex]\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]

[tex]\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]

Step-by-step explanation:

Part (a)

The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:

[tex]\implies f(x)=0[/tex]

[tex]\implies (x-3)(x+8)=0[/tex]

Therefore:

[tex](x-3)=0 \implies x=3[/tex]

[tex](x+8)=0 \implies x=-8[/tex]

Therefore, the x-intercepts are x = -8 and x = 3

Part (b)

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

[tex]\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)[/tex]

Therefore, the midpoint of the x-intercepts is (-5/2, 0)

Part (c)

The extreme value is the vertex.  The vertex is:

the minimum point if the parabola opens upwardsthe maximum point if the parabola open downwards

The x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts.  Therefore, the x-value of the extreme value is x = -5/2.

To find the y-coordinate, substitute this into the given equation:

[tex]\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}[/tex]

Therefore, the extreme value is:

[tex]\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]

Part (d)

The function in vertex form is:

[tex]\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]

[tex]\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}[/tex]

which set of sides would make a right angle ?

Answers

Answer:

It's A 5 12 & 13 make a right angle

please help asap i cannot find the answer anywhere.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y < 4x − 8
y is greater than or equal to negative 5 over 2 times x plus 5

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.

Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically.

Answers

y<4x-8

< sign so it's dotted line to be graphed .

Put (0,0)

0<0-80>-8

Away from origin shading

And

y≥-5/2x+5

Put 0

0≥-5/5=-1

Rational function ,two side parabola type lines

Dark lines and it's shading from origin in one part and in other towards origin(Look attachment)

Graph attached

Yes (5,8) is included in solution region

Answer:

Given inequalities:

[tex]y < 4x-8[/tex]

[tex]y\geq -\dfrac{5}{2}x+5[/tex]

Part A

The graph of the system is made up of 2 straight line graphs.  

The graph of  [tex]y < 4x-8[/tex]  is a dashed straight line with shading under the line.

The graph of  [tex]y\geq -\dfrac{5}{2}x+5[/tex]  is a solid straight line with shading above the line.

The solution area is the area where the shading of the two lines overlaps.

Part B

To determine if the point (5, -8) is included in the solution area, input the point into both inequalities:

[tex]\begin{aligned}y & < 4x-8\\\implies -8 & < 4(5)-8\\-8 & < 20-8\\-8 & < 12 \quad \leftarrow \textsf{correct}\end{aligned}[/tex]

[tex]\begin{aligned}y & \geq -\dfrac{5}{2}x+5\\\implies -8 & \geq -\dfrac{5}{2}(5)+5\\\implies -8 & \geq -7.5 \quad \leftarrow \textsf{incorrect}\end{aligned}[/tex]

Therefore, the point (5, -8) is not included in the solution area as it is only true for one inequality.

state the dimensions of the matrix. identify the indicated element

Answers

The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7

The dimension of the matrix?

From the figure in the question, we have the following highlights:

The matrix has 3 rowsThe matrix has 3 columns

The dimensions of a matrix are represented by: Row by column

Hence, the dimensions of the matrix are 3 by 3

The indicated element

This is given as:

a₂₃

This means that the element is located at the second row and the third column.

The element at this position is -7

Hence, the indicated element is -7

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