A given polygon has an area of 42 square feet. If the polygon is enlarged by a linear scale factor of 5, what is the area of the
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The components are Nx= Ncosθ and Ny= -Nsinθ
<h3>What is a Vector?</h3>We know that the vector quantities are those quantities that have magnitude as well as direction.
Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.
A vector component is the product of its length and the component angle.
Generally, F sinθ is the vertical component and F cosθ is the horizontal component,
Now, from the diagram the horizontal component of vector 'r' is
Nx= Ncosθ
and, the vertical component will be
Ny= -Nsinθ
this is in the opposite direction
Learn more about vectors here:
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For this case we propose a system of equations:
x: Represents the amount of small popcorn tubs
y: Represents the amount of large popcorn tubs
According to the data we have to:
(Spending all the money in your wallet)
(Buying 7 popcorn tubs)
From the second equation we have:
Substituting in the first equation:
Thus, Katie can buy 3 large tubs of popcorn.
So:
In addition, you can buy 4 small tubs of popcorn.
Answer:
3 large popcorn tubs.
4 small popcorn tubs.