1. 6 units squared
2. 1 unit cubed
Step-by-step explanation:
In a cube, all the sides of all the squares have the same length.
Therefore, to find the surface area of the cube we will find the area of one square and multiply this with the number of squares in the cube (which is 6 sides)
(1*1) * 6 = 6
= 6 units squared
The formula for volume is Length * Width * Height
1 * 1 * 1 = 1
= 1 unit cubed
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Answer:
F. 82
Step-by-step explanation:
To calculate the length of BC, Pythagoras theorem will be used.
It says, Hypotenuse^2 = Perpendicular^2 + Base^2
In our case, Perpendicular = AB = 18 and Base = AC = 80
therefore,
Hypotenuse^2 = 18^2 + 80^2 = 6724
Hypotenuse = BC = 
= 82
Answer:
Check the ecplanation
Step-by-step explanation:
A set of three vectors in 
represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).
Let A be that 4x 3 matrix. The columns of A span 
. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span . It implies that the set of 3 vectors of A does not span all of .
In general, the set of n vectors in represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.
And, hence the set of n vectors of A does not span all of . for n < m
Answer:
GCF of 18 and 54 is 18.
Step-by-step explanation:
Answer:
Step-by-step explanation:
