It would be 2/5 but the numbers between is 2/10 and 3/10
The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
Answer:
4 blu-rays
Step-by-step explanation:
*Note: I'm rounding up to full dollars to make this easier. You will get the same answer, whether you round up or not.
First, get rid of the shipping cost from the budget.
$150 - $10 = <u>$140 left for blu-rays</u>
Then divide $140 by $30, which is the price for a single blu-ray to get the number of blu-rays Chris can get.
$140 ÷ $30 ≈ 4.6 repeating. You can't have a fraction of a movie, so Chris can get 4 blu-rays
C since 25ab and 5ba both have the terms "a" and "b"