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:
$9
Step-by-step explanation:
7.50/5= $1.5 an apple
6* 1.5 = $9 for 6 apples
Yes it is. It is the only even number that is prime that is multiplied by 1.
Given:
The recipe calls for 
cup of strawberries for each gallon of lemonade.
Tia has 6 cups of strawberries.
To find:
The number of gallons of lemonade she can make.
Solution:
We have,
cup of strawberries for = 1 gallon of lemonade
cup of strawberries for = 
gallons of lemonade
= 
gallons of lemonade
= 
gallons of lemonade
cup of strawberries for = 
gallons of lemonade
= 
gallons of lemonade
= 
gallons of lemonade
Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.
