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 question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0

Answers

Answer:

180degrees

Step-by-step explanation:

Given the expression cos^2x - cos x - 2 = 0

Let P = cos x

P^2 - P - 2 = 0

Factorize

P^2 - 2P + P - 2 =0

P(P-2)+1(P-2) = 0

P-2 = 0 and P + 1 = 0

P = 2 and P = -1

Since P = cos x

cos x = -1

x = arccos(-1)

x = 180degrees

Hence the require angle is 180degrees

A bag contains 3 yellow marbles and 6 blue marbles. You randomly select two marbles from the bag. What is the probability that both marbles are
yellow when you do not replace each marble before selecting the next marble? Write your answer as a decimal rounded to three decimal places.

Answers

1/12

explanation- the first draw the probability is 3/9 or 1/3 and the second draw would be either 2/8 or 3/8 depending on the first marble color. but the likely hood of two yellow marbles in a row would be 6/72 chances or 1/12.

How to graph y= 2x -2

Answers

Answer:

start at the y coordinate -2 then go up 2 and right 1

Step-by-step explanation:

Samar gets Rs 150 as pocket money per month. On his 15th birthday, his father increased it by 20%. How much more money will he get every month now? A

Answers

Answer:

180

Step-by-step explanation:

150/100*20=30 +150=180

PLEASE ANSWER QUICK. I AM SO CONFUSED. HELP. ​

Answers

Answer:

Slope: 2

This is because it is going up two blocks within one block space.

Feel free to mark it as branliest :D

gradient = 2

Rise over Run = 5 / 2.5 = 2

Select the reason that the best supports statement 6 in the given proof

Answers

Answer: Substitution

I hope this helps!:)

Substitution is the  reason that the best supports statement 6 in the given proof

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that ∠A=∠B, ∠A= 55 and ∠B=5x+10

We need to prove x=9

The given statements and reasons are given as below

∠A≅∠B (By given)

∠A=∠B (Congruency)

m∠A=55 (By given)

55=m∠B (Substitution)

m∠B=5x+10 (Given)

55=5x+10(Substitution)

45=5x

x=9 (Division property of equality)

Hence, substitution is the  reason that the best supports statement 6 in the given proof

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

if x+y=12 and xy=27 . find x^3+y^3
pls help with steps ​

Answers

Answer:

Step-by-step explanation:

use formula

x^3+y^3=(x+y)^3-3*x*y(x+y)

=12^3-3*27(12)

=1728-972

=756

Answer:

x^3 + y^3 = 756

Step-by-step explanation:

Given that,  x+y=12 and xy=27

We know that,

[tex]( x + y )^3 = x^3 + y^3 + 3xy(x + y)[/tex]

∴ [tex]12^3 = x^3 + y^3 + 3 * 27 * 12[/tex]

[tex]=> 1728 = x^3 + y^3 + 972[/tex]

[tex]x^3 + y^3 = 1728 - 972[/tex]

[tex]==> x^3 + y^3 = 756[/tex]

The sound of a jet engine of a skyhawk jetfighter is 70000 times louder than the sound of a lawnmower if the lawnmower has the loudness of 88db then what is the loudness of the jet engine rounded to the 1DP

Answers

Answer: 6,160,000 db

Step-by-step explanation:

The sound of a jet engine is 70,000 times louder than that of a lawn mower.

Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:

= Sound of lawnmower * 70,000

= 88 * 70,000

= 6,160,000 db

Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. ​25 point question btw

Answers

Answer:

79 degrees

Step-by-step explanation:

79 degrees is parallel to a. The line below is the same as the line above, since they are parallels, beaning d and b also are both 79 degrees

Answer:

[tex]79^{\circ}[/tex]

Step-by-step explanation:

From vertical angles, [tex]m\angle a=79^{\circ}[/tex]

From corresponding angles, [tex]m\angle b=m\angle a[/tex]

Therefore, we have [tex]m\angle b=m\angle a=\boxed{79^{\circ}}[/tex]

Someone help pleaseee anyone???

Answers

Answer:

Step-by-step explanation:

the answer is d

b/c when you see the parabola lie in -3<x>1

it is down ward because the function is negative

48% as its simplest fraction

Answers

Answer:

12/25

Step-by-step explanation:

Percent means out of 100

48% means 48/100

Divide top and bottom by 4

12/25

It would be 12/25.
48/4=12 and 100/4=25, so 12/25.

What is the volume of the rectangular prism?

Answers

It’s (B.)
In other word 63 yd^3

1. Which graph represents the inequality y < 4?​

Answers

Answer:

The third one.

Step-by-step explanation:

which answer is it to dis question?

Answers

Answer:

Step-by-step explanation:

(A) is the right

If the board length of an average log is 8.25 and the price per board foot is 7.95. What is the value of the timber if there are 100 logs?

Answers

Answer:

6558.75

Step-by-step explanation:

total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot

8.25 x 7.95 = 65.5875

65.5875 x 100 = 6558.75

John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?

Answers

Answer:

24

Step-by-step explanation:

-------- 24 --------

Hope that helps

Find the area of the composite figure.

Answers

Answer:

Area of composite figure = 623.25 cm²

Step-by-step explanation:

Given:

Equal side of triangle = 39 cm

Diameter of semi-circle = 30 cm

Base of triangle = 30 cm

Find;

Area of composite figure

Computation:

Radius of triangle = 30 / 2

Radius of triangle = 15 cm

Height of triangle = √39² - 15²

Height of triangle = √1,521 - 225

Height of triangle = 36 cm

Area of composite figure = Area of semi-circle + Area of triangle

Area of composite figure = [πr² / 2] + [(1/2)(b)(h)]

Area of composite figure = [(3.14)(15)² / 2] + [(1/2)(15)(36)]

Area of composite figure = [(3.14)(225) / 2] + [(15)(18)]

Area of composite figure = [706.5 / 2] + [270]

Area of composite figure = 353.25 + 270

Area of composite figure = 623.25 cm²

Anyone pls I need help plss

Answers

Answer:  1/70

1 goes in the green space

70 goes in the gray space

==============================================

Explanation:

There are 5 gold and 350 total. That forms the fraction 5/350 which fully reduces to 1/70 after you divide both parts by the GCF = 5

A = 5, B = 350

A/GCF = 5/5 = 1 in the numerator of the final answerB/GCF = 350/5 = 70 in the denominator of the final answer

The fraction 1/70 can be thought of like saying "There's 1 gold coins in 70 coins total" or "there's 1 gold coin for every 70 coins".

Then we could scale up like so

1 gold : 70 total2 gold : 140 total3 gold : 210 total4 gold : 280 total5 gold : 350 total

What is the radius of this circle of the circumference is 18pi cm?

Answers

Answer:

r=9cm

Step-by-step explanation:

C= 2pi r = 18 pi so

2r =18 so r = 18/2=9

Answer:

[tex]r=9[/tex]

Step-by-step explanation:

The equation to find the circumference of a circle when given the radius is the following,

[tex]C=r(\pi)(r)[/tex]

There (C) represents the circumference, (r) represents the radius, and ([tex]\pi[/tex]) represents the irrational numbers (3.1415...)

Substitute in the given values and backsolve for the radius,

[tex]18(\pi)=2(\pi)(r)[/tex]

Inverse operations,

[tex]18(\pi)=2(\pi)(r)[/tex]

[tex]9=r[/tex]

How do I solve this?

Answers

Answer:

25

Step-by-step explanation:

C = √a^2+b^2

√7^2+24^2

√49+576

√625

C=25

The volume of a cylinder measures 2,797.74 in. The radius of the cylinder is 9 in. Determine the height.

Answers

Answer:

11 inches

Step-by-step explanation:

V(cylinder) = πr²·h

2797.74 = 81π·h

h = 2797.74 ÷ 81π

h ≈11

Please help!
Find the unknown angle measures
Options: 30°, 51.5°, 60°, 141.5°

Answers

Answer:51.5 degree

Step-by-step explanation: Since DEF is an isosceles triangle, angle D and F needs to be equal. So substract 77 from 180 and divide by 2.

Answer:

Step-by-step explanation:

let angle D and angle F be x

x+x+77=180 degree(being sum of the interior angle of a triangle)

2x=180-77

x=103/2

x=51.2 degree

both angle D and F are 51.2 degree because the base angles of an isosceles triangle are equal.

The number of apple slices placed in 5 different pies is listed below. 94, 90, 82, 94, 85 What is the difference between the mean and the mode of these numbers?

Answers

Answer:

Mode: 94

Mean: 89

Difference between them: 5

Step-by-step explanation:

Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks

Answers

y = 248 - 2x

good luck :))))

If sin 0= 4/5 in quadrant II, what is cose? A. - 3/5 B. 3/5 C. - 3/4 D. 3/4

Answers

Answer:

A

Step-by-step explanation:

Given

sinθ = [tex]\frac{4}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a 3- 4- 5 triangle

with opposite = 4, adjacent = 3 and hypotenuse = 5

Since θ is in second quadrant then cosθ < 0

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{3}{5}[/tex] → A

Triangle XY Z has vertices X = (5, -1), Y = (1, 4), and Z=
(-8,0). Triangle X'Y'Z' is formed when triangle XYZ is
reflected over the y-axis. What are the coordinates of
triangle X'Y'Z'?

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

X (5, - 1 ) → X' (- 5, - 1 )

Y (1, 4 ) → Y' (- 1, 4 )

Z (- 8, 0 ) → Z' (8, 0 )

Please help out I can’t really love this

Answers

Answer:   Choice B)  45/56

========================================================

Explanation:

When we divide two fractions like this, we flip the second fraction and multiply like so...

[tex]\frac{5}{7} \div \frac{8}{9}\\\\\frac{5}{7} \times \frac{9}{8}\\\\\frac{5 \times 9}{7 \times 8}\\\\\frac{45}{56}\\\\[/tex]

which points us to choice B as the answer.

The fraction 45/56 cannot be reduced further because 45 and 56 do not have any factors in common other than 1.

Answer:

45/56

Step-by-step explanation:

5/7 ÷ 8/9

Copy dot flip

5/7 * 9/8

5*9 =45

7*8 = 56

45/56

find the slope of the line that passes through (23,-3) and (81,91)

Answers

Answer: m = 94 / 58 = 47 / 29 = 1.62069

Step-by-step explanation:

Answer:

47/29

Step-by-step explanation:

To find the slope between two points

m = ( y2-y1)/(x2-x1)

   = ( 91- -3)/(81 - 23)

   = ( 91+3)/(81 - 23)

   = 94/58

   = 47/29

Find the slope of the line.
(-2, 1)
)
(2, 1)
3-2-1

Answers

Answer:

(0-2)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

A horizontal line has a slope of zero

Using the formula

m = (y2-y1)/(x2-x1)

    = (1-1)/(2 - -2)

    = 0/(2+2)

    = 0/4

Please help me thanks :))

Answers

Answer:

What do you need help with?

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