Answer:
where w is width of rectangle.
Step-by-step explanation:
We are given the following in the question:
The perimeter of a rectangle must be less than 170 feet.
Length of rectangle = 44 feet
Perimeter of rectangle =
Let w be the width of rectangle.
According to the question,
Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,
Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.
Given that the area is greater than or equal to 8 square feet and image is attached below.
We want to find the missing inequality x in the form of inequality.
The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.
As we know the area of a triangle is half the product of the base and the height.
First of all, we will find the area of the triangle by substituting the given values we get
Area=(1/2)×Base×height
Area=(1/2)×x×10
Area=5x ......(1)
Assume that this area is greater than or equal to 8 square feet.
That means Area≥8ft² ......(2)
Now we will balance equation (1) and equation (2), we get
5x≥8ft²
Furthermore, they we will divide both sides by 5 we get
(5x)/5≥8/5
x≥8/5
x≥1.6
Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².
Learn more about the dimension from here brainly.com/question/13271352
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