Answer:
The length and width of the parking lot is 78 meters and 114 meters respectively.
Step-by-step explanation:
Given;
Perimeter of the parking lot = 
Solution,
Let the width of the parking lot be x.
Then, according to question length = (x-36).
The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;

Now substituting the values, we get;

Width = 
Length = 
Hence the length and width of the parking lot is 78 meters and 114 meters respectively.
The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are:
and 
The area is given as:

Express 125 as 5^3

Apply difference of cubes


The area of a rectangle is:

So, by comparison:


Read more about areas at:
brainly.com/question/3518080
Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Hope this is what you were looking for
Answer:
Step-by-step explanation:
1. sinФ = cos 25
25 ° is in the between 0 and 90°
therefore it can simply represent
cosФ= sin (90-Ф) = sin (90 - 25) = sin 65
2. sin(Ф/3 + 10) = cos Ф
cos Ф = sin (90 -Ф)
sin(Ф/3 + 10) = cos Ф
sin(Ф/3 + 10) = cos Ф = sin(90-Ф)
Ф/3+10=90-Ф
10Ф+3/30 = 90-Ф
10Ф+3 = 30(90-Ф)
10Ф+3 = 2700-30Ф
10Ф+30Ф=2700-3
40Ф = 2697
Ф = 2697 / 40 = 67.425 ≅ 67.4°
Y intercept occurs when x = o so it is -2(0-3) + 4 = -2
x intercepts:-
-2(x - 3)^2 + 4 = 0
(x - 3)^2 = -4/-2 = 2
x - 3 = +/- sqrt2
x = 3 + sqrt2 and 3- sqrt2