Answer:
-0.555
Step-by-step explanation:
The terminal point of the vector in this problem is
(-2,-3)
So, it is in the 3rd quadrant.
We want to find the angle
that gives the direction of this vector.
We can write the components of the vector along the x- and y- direction as:

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

However, since we are in the 3rd quadrant, the actual angle is:

So now we can find the cosine of the angle, which will be negative:

Answer:
Step-by-step explanation:
B
its B
Answer:
34 Deg
Step-by-step explanation:
Since the Triangle is isoceles, each of the internal base angle = 180-107=73
Sum of internal angles =180, Angle4= 180-(73+73)= 180-146=34
Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=


Differentiate w.r.t x









Again differentiate w.r.t x

Substitute x=6

Substitute x=5/3

Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
The answer is 3 places to the left