El área de un rectángulo es 600 cm2 . Calcula las dimensiones del rectángulo sabiendo que su perímetro es 100 metros.

Answers

Answer 1

Answer:

Step-by-step explanation:

The area of ​​a rectangle is 600 cm2. Calculate the dimensions of the rectangle knowing that its perimeter is 100 meters.

The formula for the area of a triangle =

Length × Width = 600 cm²

LW = 600

W = 600/L

Perimeter of a rectangle = 2L + 2W = 100m

2L + 2W = 100

we substitute

2L + 2(600/L ) = 100

2L + 1200/L = 100

Multiple all through by L

2L² + 1200 = 100L

2L² - 100L + 1200 = 0

We factorise

2L² - 60L - 40L + 1200= 0

Answer 2

Las dimensiones del rectángulo serían:

Longitud = 30m

Ancho = 20m

Halla el largo y el ancho

Dado que,

Área del rectángulo = 600[tex]m^2[/tex]

Sabemos,

Área del rectángulo = l × b

entonces,

l × b = 600[tex]m^2[/tex]  

⇒ l = 600/b ...(i)

A continuación, tenemos,

Perímetro = 100m

Lo sabemos,

Perímetro del rectángulo = 2(l + b)

⇒ 100 = 2(l + b)

al poner (i), tenemos,

⇒ [tex]100/2 = (600/b + b)[/tex]

⇒ [tex](600 + b^2)/b = 50[/tex]

al resolver esto, obtenemos;

[tex]b^2 + 600 = 50b[/tex]

⇒ [tex]b^2 - 50b + 600 = 0[/tex]

⇒ [tex]b^2 - 30b - 20b + 600= 0[/tex]

⇒ [tex]b(b - 30) - 20(b - 30) = 0[/tex]

⇒ [tex](b - 20) (b - 30)[/tex]

∵ [tex]b = 20 m, b = 30m[/tex]

poniendo el valor de b, podemos encontrar:

[tex]l = 600/20[/tex]

∵ [tex]l = 30 m[/tex]

∵ Longitud = 30m

Ancho = 20m

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Step-by-step explanation:

Martha went shopping and wants to buy the following items.

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Step-by-step explanation:

which of the following graphs does not represent a function of x?

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A statement is shown. ​"The square root of x is a number that is non-terminating and non-repeating." ​Select all of the values of x that make the statement true. A:x=1 B: x=8 C: x=25 D: x=81 E: x=125

Answers

Answer:

The values of 'x' they make the statement true are;

B; x = 8

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Step-by-step explanation:

The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"

The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers

A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format

From the options, we have;

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C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x

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Step-by-step explanation:

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Find an equation for the perpendicular bisector of the line segment whose endpoints
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Answers

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

[tex]\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }[/tex]

Gradient of given line

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[tex] = \frac{1 + 5}{3 + 9} [/tex]

[tex] = \frac{6}{12} [/tex]

[tex] = \frac{1}{2} [/tex]

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]

Midpoint of given line

[tex] = ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )[/tex]

[tex] = ( \frac{ - 6}{2} , \frac{ - 4}{2} )[/tex]

[tex] = ( - 3 , - 2)[/tex]

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-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

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Answer:

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Step-by-step explanation:

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Answer:

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The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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what is 200 divided by 3

Answers

Answer:

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Step-by-step explanation:

I osnt know how to explain it but that's the answer sorry

The solution of the expression divide 200 by 3 is,

⇒ 66.67

We have to given that,

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We have to divide the number as,

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3 ) 200 ( 66.6

   - 18

   ------

       20

      - 18

      ------

          20

        - 18

        ------

            2

Therefore, The solution of the expression divide 200 by 3 is,

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a

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The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below.

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Answers

Answer:

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Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

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Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

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Answers

Answer:

[tex]4x^2-20x+25[/tex]

Step-by-step explanation:

We start with this expression.

[tex](4x - 5)^2[/tex]

When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.

This means that [tex](4x - 5) (4x - 5)[/tex] would become...

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[tex]4x^2-20x+25[/tex]

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Round to the nearest tenth.

Answers

Answer:

42.4 m²

Step-by-step explanation:

The formula for the Area of this triangle = 1/2 absinθ

a = 8m

b = 12m

θ = 62°

The area of the triangle =

1/2 × 8m × 12m × sin 62

= 42.38 m²

Approximately = 42.4 m²

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