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Amanda [17]
3 years ago
15

What is the area of an rectangle with sides lengths of 5/12 foot and 2/3 foot​

Mathematics
1 answer:
adoni [48]3 years ago
7 0

Answer:

The area of given rectangle is 5/18 square feet.

Step-by-step explanation:

Let l be the length of rectangle and w be the width of the rectangle.

Given information is:

Length = l = 5/12 foot

Width = w = 2/3 foot

The area of a rectangle is given by the formula

Area = Length*Width\\A = l*w

Putting the values for width and length

A = \frac{5}{12} * \frac{2}{3}\\= \frac{10}{36}\\=\frac{5}{18}

The area is 5/18 square feet.

Hence,

The area of given rectangle is 5/18 square feet.

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Dima020 [189]

Given:

The quadratic equation is:

3x^2+x-5=0

To find:

The solution for the given equation rounded to 2 decimal places.

Solution:

Quadratic formula: If a quadratic equation is ax^2+bx+c=0, then:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

We have,

3x^2+x-5=0

Here, a=3,b=1,c=-5. Using the quadratic formula, we get

x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}

x=\dfrac{-1\pm \sqrt{1+60}}{6}

x=\dfrac{-1\pm \sqrt{61}}{6}

x=\dfrac{-1\pm 7.81025}{6}

Now,

x=\dfrac{-1+7.81025}{6}

x=1.13504167

x\approx 1.14

And

x=\dfrac{-1-7.81025}{6}

x=-1.468375

x\approx -1.47

Therefore, the required solutions are 1.14 and -1.47.

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3 years ago
Twice the difference of a number and 3 equals 2 use the variable c for the unknown number.
Lesechka [4]

The number is 4

Step-by-step explanation:

First of all we have to convert the given statement in mathematical form.

Let c be the number then according to given statement

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We have to isolate the variable in the equation

Dividing both sides by 2

\frac{2(c-3)}{2} = \frac{2}{2}\\c-3 = 1

Adding 3 on both sides

c-3+3 = 1+3\\c = 4

Hence,

The number is 4

Keywords: Linear equation, variables

Learn more about linear equation at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

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Step-by-step explanation:

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