Help im being timed what is the area of the rectangle?!

7 answers
Question:

Help im being timed what is the area of the rectangle?!

[tex]Help im being timed what is the area of the rectangle?![/tex]


Answers

512

Step-by-step explanation:

8 to the power of 3 is 512

512

Step-by-step explanation:

8x8x8=512

80

Step-by-step explanation:

Move the left triangle on top of the right triangle to get a perfectc renctangle of 3+7 by 8 with area 10*8

9000000

Step-by-step explanation:

you do 4*10000 to get 40000 then multiply that by 225

Dimensions of rectangle are length = 7 cm and width = 2 cm

Step-by-step explanation:

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

Given that, length is 5 cm less than 6 times width. Rewriting it in equation form,

L =  6 w - 5  cm

Also given that area of rectangle is 14 cm²

Now using formula for area of rectangle,

Area of rectangle = length × width

Area of rectangle = l × w

Substituting the values,

14 = (6 w - 5) × w

Simplifying by using distributive rule,

14 = 6 w² - 5 w

To find the value of b, use the quadratic formula. So rewriting the equation in quadratic form ax²+bx+c=0

Subtracting 14 on both sides,

0 = 6 w² - 5 w - 14

Rewriting,

6 w² - 5 w - 14  = 0

Now applying quadratic formula,

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Rewriting the formula in terms of w,

[tex]w=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

From the 6 w² - 5 w - 14  = 0, value of a = 6 , b = - 5 and c = - 14.

Substituting the values,

[tex]w=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:6\left(-14\right)}}{2\cdot \:6}[/tex]

Simplifying,

[tex]w=\dfrac{-\left(-5\right)\pm \sqrt{25+336}}{12}[/tex]

[tex]w=\dfrac{-\left(-5\right)\pm \sqrt{361}}{12}[/tex]

Since √361 = 19,

[tex]w=\dfrac{-\left(-5\right)\pm 19}{12}[/tex]

There will be two values of w,

[tex]w=\dfrac{-\left(-5\right)+19}{12}[/tex] and [tex]w=\dfrac{-\left(-5\right)-19}{12}[/tex]

Simplifying,

[tex]w=\dfrac{5+19}{12}[/tex] and [tex]w=\dfrac{5-19}{12}[/tex]

[tex]w=\dfrac{24}{12}[/tex] and [tex]w=\dfrac{-14}{12}[/tex]

Reducing the fraction in lowest form, divide first expression by 12 and second expression by 2.

[tex]w=2[/tex] and [tex]w=\dfrac{-7}{6}[/tex]

Since the length of width cannot be negative, so value of w = 2 cm

To find the value of length, Use equation L =  6 w - 5  cm

L =  6 (2) - 5  cm

L =  12 - 5  cm

L =  7  cm

Therefore l = 7 cm and w = 2 cm are the dimensions of the rectangle.

The correct answer is option a.

Explanation:

Diffusion flux is defined as movement of mas of atoms diffusing through the unit area in per unit time.It measured in ([tex]kg/m^2 s[/tex]).

[tex]J=\frac{1}{A}\frac{dM}{dt}[/tex]

J = diffusion flux

A = Unit area A through which atoms moves.

M = mass of atoms passes in t interval of time.

30

Step-by-step explanation:

Hope this helps.

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