Answer:
65.56°
Step-by-step explanation:
We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them
That is let p and q be any two vectors and A be the angle between them
So, p·q=|p|*|q|*cosA
⇒
Given u=-8i-3j and v=-8i+8j
let A be angle before u and v
therefore, 
⇒
Therefore angle between u and v is 65.56°
Answer:
4 x 8.5 x 12.5 =425 (multiple hight x width x length)
The volume of the box is 
They are intertwined the domain is the allowed values of the independent varialbles and the range is the allowed values of the dependent variable.
Answer:
RS = 5
Step-by-step explanation:
Since R is between Q and S , then
QS = QR + RS , that is
6x - 3 = 3x - 2 + 2x + 1
6x - 3 = 5x - 1 ( subtract 5x from both sides )
x - 3 = - 1 ( add 3 to both sides )
x = 2
Then
RS = 2x + 1 = 2(2) + 1 = 4 + 1 = 5
Answer:
7
Step-by-step explanation:
The number of cells in a tile is 4. If colored alternately, there are 3 of one color and 1 of the alternate color. To balance the coloring, an even number of tiles is needed. Hence the board dimensions must be multiples of 4.
In the given range, there are 7 such boards:
4×4, 8×8, 12×12, 16×16, 20×20, 24×24, and 28×28
