Mathematics: Jack lived on a farm and has a large backyard. the area of the rectangular backyard is 2/3 of a square mile. if the width of the yard is 3/4 of a mile, what fraction of a mile is the length of the rectangular backyard?

Jack lived on a farm and has a large backyard. the

Blitzx

31.12.2021

$\dfrac{8}{9}$

Step-by-step explanation:

Formula we use here:

$\text{Length}=\dfrac{\text{Area}}{\text{width}}$

Given : Jack lived on a farm and has a large backyard.

The area of the rectangular backyard is $\dfrac{2}{3}$ of a square mile.

If the width of the yard is $\dfrac{3}{4}$ of a mile, then the length of width will be :-

$\text{Length}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}\\\\=\dfrac{2}{3}\times\dfrac{4}{3}=\dfrac{8}{9}$

Hence, the fraction of a mile is the length of the rectangular backyard= $\dfrac{8}{9}$

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TTownsel2390

26.07.2022

(x - 2)^2 + (y - 2)^2 = 25.

Step-by-step explanation:

The diameter of the circle is √(5 - -1)^2 +(6 - -2)^2

= √(36 + 64)

= √100

= 10

So the radius is 10/2 = 5.

The centre of the circle is the midpoint of the diameter

= (-1+5)/2 , -2+6)/2

= (2, 2).

So the equation of the circle is

(x - a)^2 + (y - b)^2 = r^2 where r = radius and (a, b) is the centre is:

(x - 2)^2 + (y - 2)^2 = 25

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