Answer:
See below
Step-by-step explanation:
x = 3 cos (-5pi/3) = 1.5
y = 3 sin (-5pi/3) = 2.598
I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
<u>Given the following data:</u>
- Area of a rectangle = 65 square inches.
- Length of rectangle = x + 5 inches
- Width of rectangle = x - 3 inches
To find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
![A = LW](https://tex.z-dn.net/?f=A%20%3D%20LW)
Substituting the values, we have:
![65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0](https://tex.z-dn.net/?f=65%20%3D%20%28x%2B5%29%28x-3%29%5C%5C%5C%5C65%3Dx%5E2-3x%2B5x-15%5C%5C%5C%5C65%3Dx%5E2%2B2x-15-65%5C%5C%5C%5Cx%5E2%20%2B2x-80%3D0%5C%5C%5C%5Cx%5E2%20%2B10x-8x-80%3D0%5C%5C%5C%5Cx%28x%2B10%29-8%28x%2B10%29%3D0%5C%5C%5C%5C%28x-8%29%28x%2B10%29%3D0)
x = 8 or x = -10
<u>For the</u><u> length:</u>
when x = 8
![Length = 8 +5](https://tex.z-dn.net/?f=Length%20%3D%208%20%2B5)
Length = 13 inches.
<u>For the</u><u> width:</u>
when x = 8
![Length = 8 -3](https://tex.z-dn.net/?f=Length%20%3D%208%20-3)
Length = 5 inches.
Find more information: brainly.com/question/11037225
Answer:
7.3333 hours
Step-by-step explanation:
if im wrong oh well lol 275x320=88000 divided by 200 =440 divided by 60=7.3333
96/6=16
Each side has area 16 sq cm.
Each edge length is sqrt(16)=4 cm
Answer:
Divide each number by 2 then translate them