Answer:
Length of B is 7.4833
Step-by-step explanation:
The vector sum of A and B vectors in 2D is

And its magnitude is:

Where




Using the properties of the sum of two angles in the sin and cosine:


Sustituying in the magnitud of the sum




Solving for B


Sustituying the value of the magnitud of A


Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,

3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by

Number of triangles is needed is given by

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Answer:
1,00090
Step-by-step explanation:
6(4.5y - 12) = 9
(4.5y - 12) = 9/6
4.5y - 12 = 1.5
4.5y = 1.5 + 12
4.5y = 13.5
y = 13.5/4.5
y = 3