Step-by-step explanation:
length = x + 2
width = x
x + x + (x+2) + (x+2) = 36 ft
4x + 4 = 36 ft
4x = 32 ft
x = 32 ÷ 4
x = 8 ft
dimensions = length x width
= (x+2) × x
= (8+2) × 8
= 10 ft × 8 ft
Answer: 
Step-by-step explanation:
For this exercise it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.
If the Dilation is centered at the origin, and knowing the scale factor of
, you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.
Knowing that the point T has the following coordinates:

You get that the coordinates of the Image T' are the shown below:

A prime number is such that it is divisible by only itself and one. ... Two is a prime because it is divisible by only two and one. All the other even numbers are not prime because they are all divisible by two. That leaves only the odd numbers.
Answer:
Decay
Step-by-step explanation:
We are given an equation 
We need to say about decay or growth of exponential function.
Exponential function: 
Where,
- a is initial value of exponential function.
- b is decay or growth of function
For decay: 0<b<1
For growth: b>1
Now we rewrite the equation into this form

Changes to

Here, b=0.5 < 1
Therefore, The given function would be decay.
Thus,
is deacy.
Use trigonometry to find L.
Tangent = opposite over adjacent on any right triangle.
tan(L) = 18/23
Take the inverse on both sides.
arctan(tan(L)) = arctan(18/23)
L = 38.0470425318
L = 38.05°
Done.