Answer:
1050
Step-by-step explanation:
Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
![x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-b%20%2B%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%20%5Cfrac%7B-b%20-%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![\bigtriangleup = b^{2} - 4ac](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20b%5E%7B2%7D%20-%204ac)
Area of a rectangle:
A rectangle has width
and length
. The area is the multiplication of these measures, that is:
![A = wl](https://tex.z-dn.net/?f=A%20%3D%20wl)
The length of a rectangle is the sum of the width and one.
This means that
, or ![w = l - 1](https://tex.z-dn.net/?f=w%20%3D%20l%20-%201)
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So
![wl = 72](https://tex.z-dn.net/?f=wl%20%3D%2072)
![(l-1)l = 72](https://tex.z-dn.net/?f=%28l-1%29l%20%3D%2072)
![l^2 - l - 72 = 0](https://tex.z-dn.net/?f=l%5E2%20-%20l%20-%2072%20%3D%200)
Quadratic equation with
. So
![\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20%28-1%29%5E%7B2%7D%20-%204%281%29%28-72%29%20%3D%20289)
![l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9](https://tex.z-dn.net/?f=l_%7B1%7D%20%3D%20%5Cfrac%7B-%28-1%29%20%2B%20%5Csqrt%7B289%7D%7D%7B2%2A%281%29%7D%20%3D%209)
![l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8](https://tex.z-dn.net/?f=l_%7B2%7D%20%3D%20%5Cfrac%7B-%28-1%29%20-%20%5Csqrt%7B289%7D%7D%7B2%2A%281%29%7D%20%3D%20-8)
Since the length is a positive measure, the length of the rectangle is of 9 units.
37/100 as a decimal<span> equals </span><span>0.37.</span>
Answer:
EASY YOUR MOM.
Step-by-step explanation: