The dot product is a technique that solves the resultant vector through the use of matrices. Since we have no coordinates, we can't use matrices. However, we can still solve the resultant vector (red line) through cosine law. The solution is as follows:
R² = 4² + (1/2)² - 2(4)(1/2)(cos π/4)
R = √13.42
R = 3.66
The resultant vector has a magnitude of 3.66.
-0.5
Answer: -0.5
Step-by-step explanation:
A right triangle is a special type of triangle where one of the angles makes a right angle or has 90 degrees. The longest side is called as the hypotenuse. The sides can be related by the Pythagorean theorem but it would not be useful here since we are given an angle. Instead, we find other relations. The sides and the angles can also be related by trigonometric functions. For this case we use cosine given that the leg given is adjacent to the angle. We calculate as follows:
cosine 51 = 12 units / hypotenuse
hypotenuse = 19.07 units
The length of the hypotenuse would be about 19.07 units.
see the attached figure to better understand the problem
we know that
if OP ll LN
then
by proportion
we have that
substitute
therefore
<u>the answer is</u>
The value of y is 
Answer:
30 percent increase
Step-by-step explanation:
