Answer:
3.56m
Step-by-step explanation:Parameters given:
Area of the rectangular garden = 16.02m^2
Length of the rectangular garden = 4.5m
The Area of a rectangle can be calculated for using the formula below
Area (square meters) = length (meters) × width (meters)
Therefore, 16.02m^2 = 4.5m × width
Width = 16.02m^2 / 4.5m
Width = 3.56m
Therefore the width in meters of the garden is 3.56m
See the attachment below for an illustrative diagram
A = area
l = length
w = width
The measure of angle X is 83 degrees.
180 subtract 53 and 44 gives you 83.
Let distance between warehouse and retail outlets be x miles.
We are told that for a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven. The apparel company has a budget of less than $950 per trip.
Upon multiplying 1.25 by x we will get delivering charges for x miles as 1.25*x. Total delivery charges also include $250 per one-way trip, therefore, 250 will be our constant.
Our total delivery charges for x miles will be,
The apparel company should service those outlets for whom delivery cost will be less than $950.

Therefore, an inequality representing apparel company's profit will be
.
Answer:
1.) 6√13/13
2.) 4√13/13
3.) 3
Step-by-step explanation:
given that cot(x) = 2/3
But cot(x) = 1/tan(x)
Substitutes 1/tan(x) for cot(x)
1/tan(x) = 2/3
Reciprocate both sides
Tan(x) = 3/2 = opposite/adjacent
Use pythagorean theorem to find the hypothenus.
Hypothenus = sqrt ( 3^2 + 2^2 )
Hypothenus = sqrt ( 9 + 4 )
Hypothenus = sqrt (13)
Hypothenus = √13
1.) Sin(x) = opposite/hypothenus = 3/√13
Rationalise
3/√13 × √13/√13
3√13/13
Sin(2x) = 2 × 3√13/13
Sin(2x) = 6√13/13
2.) Cos( x ) = adjacent/hypothenus
Cos (x) = 2/√13
Rationalise
2/√13 × √13 /√13
2√13/13
Cos(2x) = 2 × 2√13/13
Cos(2x) = 4√13/13
3.) Tan (x) = 3/2
tan (2x) = 2 × 3/2
Tan(2x) = 3
The answer would be 340 and its correct because I did it!!