Answer:
(a) 53.451∠163°
Step-by-step explanation:
The sum of the vectors is the sum of their components:
v1 +v2 = (-55i +3j) +(4i +13j) = (-55 +4)i +(3 +13)j = -51i +16j
__
<h3>conversion to polar form</h3>
This is converted to magnitude and direction by ...
|ai +bj| = √(a² +b²)
|-51i +16j| = √((-51)² +16²) = √(2601 +256) = √2857 ≈ 53.451
and
∠(ai +bj) = arctan(b/a) = arctan(16/-51) ≈ -17° +180° = 163°
note that 180° is added because the components indicate the angle is in the 2nd quadrant.
The object's speed and direction are ...
53.451 ∠163°
_____
<em>Additional comment</em>
If you're doing a lot of vector calculations, the process is simplified immensely by a suitable calculator. (See attached.) 2-dimensional vectors are handled nicely using the complex number functions of the calculator.
Answer:
120-75%=119.25
Step-by-step explanation:
119.25 is your answer
HOPE THIS HELPED !!
Area of ABC : AB*AC/2
the maximum of the parabola is reached at x=-4/(2*(-1))=2 hence A is at (2,0) and B is at (2,(-2)^2+4*2+C)=(2,12+C)
C is the second root (x-intersect), which we can find :
determinant1 : D=16-4*(-1)*C=4(4+C) thus the second root is at x=
Hence the area of the triangle is
hence
.
We remark that
Hence 4+C=16 thus
C=12
Answer:
D
Step-by-step explanation:
It makes the most sence.