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1 answer:
Answer:
158 inches squared
Step-by-step explanation:
<em>I am calling them Inches instead of centimeters because the image only shows inches as the unit.</em>
To find the surface area, you need to add up all the rectangles' areas () shown to get the sum surface area.
<em>Sides A & D:</em>
<em>Sides B & F: </em><em />
<em>Sides C & E: </em> (You get 5 inches from the edges, if you fold it into a rectangular prism, the side would have dimensions of 3x5.)
Then, you add all of the sides together.
Your total surface area would be 158 in.
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Answer:
The set is linearly dependent for every value of h.
Step-by-step explanation:
Recall that a set of vector {a,b,c,d} is a linearly dependent set of vectors if any of the vectors can be written as a linear combination of the other ones.
We are given the following vectors.a=(-1,4,6), b=(5,2,-3), c=(3,-5,-4), d=(12,-20, h). At first, we will check if a,b,c are linearly independent. To do so, we will calculate the following determinant (the procedure of the calculation is omitted).
Since the determinant is not zero, this implies that the vectors a,b,c are all linearly independent. Since a,b,c are all vectors in which is a 3-dimensional space, and they are 3 linear independent vectors, then they are automatically a base of this space. Consider now the vector d. Since {a,b,c} is a base of
, then it generates any vector of this space(i.e any other vector of the space is a linear combination of {a,b,c}). In particular, d. So the set {a,b,c,d} is linearly independent for any value of h