Answer:
Step-by-step explanation:
Given that there are two vectors U = (-8,0,1)
V = (1,3,-3)
To find projection of u on V and also projection of V on U
First let us find the dot product U and V
U.V = 
Projection of U on V =
Similarly projection of V on U
=
For the first part, the answer is choice B) 360. This applies to any polygon and it doesn't have to be an octagon. The sum of the exterior angles of any polygon is always 360 degrees. This is something you should memorize or have on a reference sheet.
For the second part, the answer is choice C) 142 degrees. We have a parallelogram (specifically a rhombus but that doesn't matter) so the adjacent angles are supplementary. This means they add to 180 degrees. Solving x+38 = 180 leads to x = 142
I drew this by hand. sorry I it does not help.
<span>The return for the investment is C, or 15.56%. You add the dividend and the capital gain, $4+$3=$7, and then divide by the initial investment price, or $45. 7/45=.1556, or 15.56%.</span>
The regular selling price per unit for the laptop is $298.6.
<h3>How to calculate the price?</h3>
Let the regular price per unit be x.
The expense is 19% of the selling price and profit is 25% of the selling price. This will be illustrated as:
x + (19% × x) + (25% × x) = 430
x + 0.19x + 0.25x = 440
1.44x = 430
Divide
x = 430 / 1.44
x = 298.6
The price is $298.6
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