Answer:
Length ≥ 40
Width ≥ 5
Perimeter = 2 × (Length + Width)
2 × (Length + Width) ≤ 150
Step-by-step explanation:
To create a graph showing the possible dimensions of the garden, we need to plot the length and width of the rectangular area on the x and y axes, respectively. Since we want the length to be at least 40 feet and the width to be at least 5 feet, we can represent these constraints by the following inequalities:
Length ≥ 40
Width ≥ 5
We also know that the total length of fencing available is 150 feet, which means that the perimeter of the rectangular area must be less than or equal to 150 feet. The perimeter of a rectangle is given by:
Perimeter = 2 × (Length + Width)
So, we can write the inequality representing the perimeter as:
2 × (Length + Width) ≤ 150
To graph the possible dimensions of the garden, we can plot the points that satisfy all three inequalities on the x-y plane.
Regarding the vegetables, it is not clear what vegetables the user would like to plant in the garden. As such, we cannot provide a specific answer to this question.
In summary, we need to write three inequalities to represent the constraints in the problem, and we can graph the solution space using these inequalities.
Answer:
Option B) -0.23
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 108
Standard Deviation, σ = 28.15
Formula:
We are given x = 101.67
We have to find the corresponding z-score.
Putting values, we get,
Thus, the correct answer is
Option B) -0.23
Answer:
A
Step-by-step explanation:
Construction Y because point E is the circumcenter of Triangle LMN
Answer:
Step-by-step explanation:
For A:
For B:
For C:
I hope this helps!
Answer:
A ----> +1.5
B------> -0.33
C-------> -0.1322
Step-by-step explanation:
A. 80
B. 121
C. 21
D. 61
Answer:
Step-by-step explanation:
find x from the given triangle.
first step is to get x
add all inside angles = 180
∠2 + ∠3 + ∠4 = 180
x + 40 + 5x + 14 = 180
x + 5x = 180 - 40 - 14
6x = 126
x = 126 / 6
x = 21
substitute x=21 into angle 4
∠4 = 5x + 14
∠4 = 5(21) + 14
∠4 = 119
lastly, add ∠1 + ∠4 = 180
∠1 + 119 = 180
∠1 = 180 - 119
∠1 = 61°
therefore, the answer is D. 61
G
8
60°
What is the area, in terms of A, of the shaded
region?
Answer:
Step-by-step explanation:
Area of shaded region = θ/360 × πr²
Where,
θ = 360 - 60 = 300°
r = 8
Plug in the values