Perimetrul unui teren de sport este de 224m. Alfa lungimea si latimea terenului, daca latimea este cu 8m mai mare decat 1/3 din lungime

Answers

Answer 1

Answer:

I. L = 78 metros

II. W = 34 metros.

Step-by-step explanation:

Deje que la longitud del rectángulo sea L. Deje que el ancho del rectángulo sea W.

Sabemos que un campo deportivo tiene forma rectangular.

Dados los siguientes datos;

Perímetro del rectángulo = 224 m

Traduciendo el problema verbal a una expresión algebraica, tenemos;

W = ⅓L + 8 = L/3 + 8

Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;

P = 2 (largo + ancho)

Sustituyendo en la ecuación, tenemos;

224 = 2(L + [L/3 + 8])

224 = 2L + 2L/3 + 16

Reordenando la ecuación (recolectando términos semejantes), tenemos;

224 - 16 = 2L + 2L/3

224 - 16 = 8L/3

208 = 8L/3

Multiplicación cruzada, tenemos;

8L = 208 * 3

8L = 624

L = 624/8

L = 78 metros

Para encontrar el ancho;

W = L/3 + 8

W = 78/3 + 8

W = 26 + 8

W = 34 metros.


Related Questions

A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?

Answers

First we are going to find divided by 100 and multiply 20 is equal to four.

We are gonna use x to represent this number.

x/100 * 20 = 4

Solve for x

Therefore x = 20cm

Now that we found x the side of the larger square we are gonna find the area which is side^2.

20 * 20

Therefore the area of the larger square is 400cm^2

At a carnival, Ivan bought 9 packs of 16 tickets each. He has used 35 of the tickets so far. How many tickets does he have left?

Answers

Answer:

He has 109 tickets left!

Step-by-step explanation:

ok, let's find out how many tickets he bought in total!

he bought: 9 packs with 16 tickets inside each pack

so...

9 x 16 = 144

144 - 35 = 109

Make sure to double check before writing it down!

One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm. Find the measure of the other leg.

Answers

Answer:

the other leg = 2 root 14, which is roughly 7.48331 cm

Step-by-step explanation:

9squared = 5squared + x

81-25=xsquared

squareroot 56 = 2 root 14

The list shows the scores posted by a professional golfer for his last ten rounds of golf. , Scores for 18 Holes of Golf 67 68 69 69 69 71 71 72 73 75 Question What is the median of the data set? ( NEED HELP ASAP)

Answers

Answer:

The correct answer is 70

Step-by-step explanation:

[tex]{[x,y]:y=\frac{x}{x-8}][/tex]

Answers

Wait what's the question

find the simple interest of Rs 4000 for 2 years at the rate of 8%​

Answers

Answer:

Rs 4640

Step-by-step explanation:

8/100 x 4000 = 320

320 x 2 = 640

4000+ 640 = Rs4640

Feel free to mark it as branliest

The line that goes through the points (0,-4) and (1,2) is......

Answers

Answer: The equation for the line is “y = 6x - 4”

Step-by-step explanation: To find this answer we will put it in slope-intercept form which is y = mx +b. To first find m which is the slope you subtract the the second y by the first y over the second x by the first x. It looks like this y2 - y1/ x2 - x1. After we find the slope which is 6, to find the y-intercept which is b we just plug a point we used to find the slope into the equation we have. It looks like this y = 6x + b —> 2 = 6(1) + b... I used (1,2). Then you solve for b by multiplying 1 by 6 and then subtracting 6 to both sides to get b by itself. So it goes from 2 = 6(1) + b into -4 = b. Then you just put -4 into b and you get the answer y = 6x - 4.

Have a nice day!

help pls bc im so bad at math

Answers

Answer:

x = 3

Step-by-step explanation:

sum of all angles of a quadrilateral = 360

76 + 104 + 104 + 25x + 1 = 360

25x + 285 = 360

25x = 360 - 285

25x = 75

x = 75/ 25

x = 3

ull get better at math soon:)

How does the author introduce the theme of
unrequited, or unanswered, love?
1)by opening the play with Duke Orsino's attempt to
drown his love in music
2)by showing that Duke Orsino surrounds himself with flowers
3)by hinting at tragedy when Curio mentions the hunt
4)by shocking the reader with Olivia's refusal of Duke Orsino's affectionsAn artist built a wooden sculpture in the shape shown below.

Answers

Answer:

4

Step-by-step explanation:

The Author - Shakespeare introduces the theme of unrequited love by indicating the refusal of Olivia regarding Duke Orsino's affections.

The play opens with the Duke listening trying to drown his feeling with music. He so openly and unashamedly professes his love for one whose consent he had yet to gauge or decipher.

The bouts of refusal begins with Valentines message declining him from delivering the Dukes message.

Solve for x in the system of equations

2x+5y=20
-2x+10y=25

Answers

Hi there!

[tex]\large\boxed{x = 2.5}[/tex]

We can solve for x by using an elimination of variables.

2x + 5y = 20

-2x + 10y = 25

Add the two equations to eliminate x:

0x + 15y = 45

15y = 45

y = 3

Substitute this value of y into an equation to solve for x:

2x + 5(3) = 20

2x + 15 = 20

2x = 5

x = 2.5

Answer:

I believe it is (5/2,3)

Step-by-step explanation:

Hope this works for u :)


Help me with this please ❤️

Answers

Answer:

B

Step-by-step explanation:

If he had $72 total and brought 9 tickets, you will need to divide. 72/9 is equal to 8.  9x=72

x represents 8

Answer:

$8

Step-by-step explanation:

let the ticket cost be x then purchasing 9 tickets gives

9x = 72 ( divide both sides by 9 )

x = 8

Each ticket cost $8

Lion 30% Eagle 40 Anaconda 20% Crane 10% If 80 people were surveyed, how many more people voted for eagle than for anaconda? ​

Answers

Answer:

16

Step-by-step explanation:

8 =10%

8x2=16

16 is 20%

32=40%

8x4=32

32-16

A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the value of the card in 2016

Answers

Answer:

$2284.6

Step-by-step explanation:

Given data

Principal= $200

Rate= 7%

Time= 1980-2016= 36 years

The expression for the exponential model is given as

A= P(b)^t

b=1+r-----------because will are dealing with increase

A= P(1+r)^t

A=200(1+0.07)^36

A= 200(1.07)^36

A= 200*11.423

A=$2284.6

The value of the card is $2284.6

Please help 1-9 {30 points + brainlist}

Answers

Answer:

1. 3.4

2. 23.4

3. 8

4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

9. 1.35

I hope this is the right answer key

Step-by-step explanation:

A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Assume that you arrive at the station at a random time. Express each probability as a decimal.

Answers

Answer:

friend me on here and imma send you the link Step-by-step explanation:

hey! please help i’ll give brainliest

Answers

Answer:

D

Step-by-step explanation:

the others are positive

Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

HELP I WILL MARK BRANLIEST

Answers

Answer:

[tex]A) 22.5cm[/tex]

Step-by-step explanation:

[tex]\frac{AB}{BC} =\frac{FG}{GH}[/tex]

⇒ [tex]\frac{9}{15} =\frac{13.5}{x}[/tex]

⇒ [tex]\frac{9}{15} =\frac{13.5}{x} [cross ~multiply][/tex]

⇒ [tex]9x=202.5[/tex]

⇒[tex]\frac{9x}{9} =\frac{202.5}{9} ~[divide~both ~sides~by ~9][/tex]

⇒ [tex]x=22.5[/tex]

------------------------

hope it helps...

have a great day!!

John received a shipment of 3 crates, this was only 20% of his total order. How many crates did John order in all?

Answers

Answer:

Total number of crates John order = 15 crates

Step-by-step explanation:

Given:

Total number of crates John received = 3 crates

Amount of order John received = 20%

Find:

Total number of crates John order

Computation:

Total number of crates John order = Total number of crates John received / Amount of order John received

Total number of crates John order = 3 / 20%

Total number of crates John order = 3 / 0.2

Total number of crates John order = 15 crates

Witch is the net for the figure shown?

Answers

It should be bottom left

find the centre of the circle 4x^2+4y^2+16x- 24y-52=0​

Answers

Answer:

(- 2, 3 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Given

4x² + 4y² + 16x - 24y - 52 = 0 ( divide through by 4 )

x² + y² + 4x - 6y - 13 = 0 ← add 13 to both sides and rearrange terms on left side

x² + 4x + y² - 6y = 13

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 13 + 4 + 9

(x + 2)² + (y - 3)² = 26 ← in standard form

with centre (- 2, 3 )

Answer:

Centre at [tex](-2,3)[/tex].

Step-by-step explanation:

Use the general formula for a circle to answer this question. The general formula is :

[tex](x-a)^2+(y-b)^2=r^2[/tex], where [tex](a,b)[/tex]is the centre of the circle and [tex]r[/tex] is the radius of the circle.

We have to get the equation we've been given into the general form. We can do this by completing the square as follows:

[tex]4x^2+16x+4y^2-24y-52=0[/tex] -Group like terms together.

[tex]x^2+4x+y^2-6y-13=0[/tex] - Divide by common factor of 4.

[tex](x+2)^2+(y-3)^2=26[/tex] - Complete the square and move constant to the other sides.

Now that it's in the general form we can find the centre. Centre at [tex](-2,3)[/tex].

The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.

Answers

Answer:

[tex]h_m=103.125ft[/tex]

Step-by-step explanation:

From the question we are told that:

Focus [tex]F=32ft[/tex]

Width of building [tex]W=200ft[/tex]

Height[tex]h=25[/tex]

Generally the equation for the Parabola is mathematically given by

 [tex]y^2=4ax[/tex]

 [tex]y^2=128x[/tex]

 [tex]y^2=128b^2[/tex]

 [tex]y=\pm8\sqrt{2b}[/tex]

 [tex]b=\frac{25}{2\sqrt{2}}[/tex]

Therefore

 [tex]x=b^2[/tex]

 [tex]b^2=\frac{625}{8}[/tex]

Generally the Generally the equation for momentum is mathematically given by mathematically given by

 [tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]

 [tex]h_m=\frac{825}{8}ft[/tex]

 [tex]h_m=103.125ft[/tex]

PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!

Answers

Answer:

115

Step-by-step explanation:

When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52,  7 times 9=63, 52+63=115.  Hope this helps!

Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:

3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Use the drops-downs to justify how Heidi arrived at each step.

Answers

Answer:

her first step was) Combining like terms= 12+2

her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x

her third step was) Adding to both sides 18= 14+18

her last step was) isolating the variable/ dividing 2 from both sides= 32/x.

Hope You Got It!

PLEASE MARK ME AS THE BRAINLIEST

I NEED HELP ASAP! In a magic square, the sum of the numbers in each row, column, and diagonal is the same. Write and solve equations to find the values of a, b, and c.

Answers

Answer:

[tex]a=22,\\b=31,\\c=13[/tex]

Step-by-step explanation:

When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.

Sample solution:

[tex]a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}[/tex]

[tex]16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}[/tex]

[tex]34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}[/tex]

Solve n x 8 = 24
please help me and solve the equation.

Answers

Answer:

3

Step-by-step explanation:

Set it up as

8n = 24

n = 24/8

n = 3

Answer:

n=3

Step-by-step explanation:

24 divided by 8 is equal to n

go back and substitute the answer 3 x 8= 24

that is a fact if it is a fact then it is true and you have your answer.

Describe the graph of the quadratic from the original y = x^2 .
y = 5(x+4)2 + 7
a. Wider/narrower?
b. Shifts left/right?
c. Opens up/down?
d. Shifts up/down?

Answers

Answer:

a. Narrower

b. Shifts left

c. Opens up

d. Shifts up

Step-by-step explanation:

The original quadratic equation is y = x²

The given quadratic equation is y = 5·(x + 4)² + 7

The given quadratic equation is of the form, f(x) = a·(x - h)² + k

a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation

The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is narrower

b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry shifts left

c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation opens down

d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, shifts up.

Given
Given 15 cot A = 8, find sin A and sec A.​

Answers

Answer:

[tex]sin A = \frac{15}{17}, \ sec A = \frac{17}8[/tex]

Step-by-step explanation:

[tex]15cot A = 8\\\\cotA = \frac{8}{15}\\\\1 + cot^2A = cosec^2 A\\\\1 + (\frac{8}{15})^2 = cosec^2 A\\\\1 + \frac{64}{225} = cosec^2A\\\\\frac{225+64}{225} = cosec^2 A\\\\cosec^2 A = \frac{289}{225}\\\\cosec A = \frac{17}{15}\\\\That \ is, \ \frac{1}{sin A} = \frac{17}{15}\\\\sin A = \frac{15}{17}[/tex]

[tex]cot A = \frac{8}{15}\\\\\frac{cos A}{sinA} = \frac{8}{15}\\\\cos A = \frac{8}{15} \times sin A = \frac{8}{15} \times \frac{15}{17} = \frac{8}{17}\\\\\frac{1}{cosA} = \frac{17}{8}\\\\sec A = \frac{17}{8}[/tex]

what is the probility of tossing talls twice

Answers

hdhdiduwhshuxjfjdksoosoxod

8.
If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k

Answers

Answer:

k = - 3.6

Step-by-step explanation:

Given x = - 2 is a zero then f(- 2) = 0

Substitute x = - 2 into the polynomial and equate to zero

(- 2)² - 7(- 2) + 5k = 0

4 + 14 + 5k = 0

18 + 5k = 0 ( subtract 18 from both sides )

5k = - 18 ( divide both sides by 5 )

k = - 3.6

What is the circumference of a circle with a radius of 34 meters?
(Use 27
as an estimate for a.)
A. 7 meters
O
B. 11 meters
C. 22 meters
D. 44 meters

Answers

Answer:

2 x 3.14 x 3 1/2

(make each a fraction)

2/1 x 314/100 x 3 1/2 = 21 49/50 around 22, C is your answer.

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