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For this case we have the following equation:
w = || F || • || PQ || costheta
Where,
|| F ||: force vector module
|| PQ ||: distance module
costheta: cosine of the angle between the force vector and the distance vector.
Substituting values:
w = (60) * (100) * (cos (45))
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.640687 lb.ft
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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Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached