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
My answer is 38 students
( 22 students take one or both subjects)
The first, third, and sixth are correct.
Answer:
X=70
Step-by-step explanation:
70 + 75 + 35 =180
x + x+5 + x-35
The number remaining for 19.35 to get to 25 is 5.65.
<h3>What is an expression?</h3>
Expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both
In this case, the number remaining for 19.35 to get to 25 will be:
= New number - Old number
= 25 - 19.35
= 5.65
The number is 5.65.
Learn more about expressions on:
brainly.com/question/723406
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