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:
Are singing that one song
Step-by-step explanation:
Answer:
Adding 5 from both sides then dividing by 7
Step-by-step explanation:
The best way to isolate x is to add 5 to both sides first:
21 = 7x
Then to isolate x by itself divide both sides by 7
x = 3
That would be the value of x and your final answer.
4 units right and 4 units down
Answer:

Step-by-step explanation:
Given



See attachment for complete question
Required

The question requires that we calculate the theoretical probability of landing on the head.
This means that, we have to ignore the given data, and we use the following
--- sample space
--- sample size
--- occurrence of Head
So, the theoretical probability is:


