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likoan [24]
3 years ago
12

Find the product M 법 M

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

The answer is M Law M.

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Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Calculate the perimeter of this shape 12cm 18cm
EastWind [94]

Answer:

30

Step-by-step explanation:

perimeter = side 1+side 2

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3) Solve the system using substitution. Show all work.<br><br> -4x + 3y = 23<br> y = -7x - 9
Rina8888 [55]

Answer:

x = -2

Step-by-step explanation:

-4x + 3y = 23

y = -7x - 9  //  *-3

-4x + 3y = 23

-3y = 21x -27

+++++++++++++++++++

-4x = 21x + 50

-50 = 25x

x = -2

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Mark put his dog on a diet. The dog's total weight change for the first 2 weeks was −34 pound. The dog lost the same amount of w
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17 pounds...............................
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