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:

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Step-by-step explanation:
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm
Answer:
300
Step-by-step explanation:
This is a place value problem.
The given figure is;
14, 397:
Pronounced as;
Fourteen thousand, three hundred and ninety seven:
14, 397;
10 000 ten thousand
4000 four thousand
300 three hundred
90 ninety
7 seven
The place value of 3 is hundreds.