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Crazy boy [7]
3 years ago
14

Help !!!!!!!!!!!!!!!!

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

13) 8.6

Step-by-step explanation:

To find the side length, use a trig function to solve for x.

You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.

This means Cos 52 = x / 14. Solve for x.

Cos 52 = x / 14

14* Cos 52 = x

8.6 = x

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Answer:

<em>71.6 degrees </em>

Step-by-step explanation:

The formula for calculating the angle between two vectors is expressed as;

u.v = |u||v|cos theta

u.v = (8, 4).(9, -9)

u.v = 8(9)+4(-9)

u.v = 72-36

u.v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+(-9)²

|v| = √81+81

|v| = √162

36 = √80*√162 cos theta

36 = √12960 cos theta

36 = 113.84 cos theta

cos theta = 36/113.84

cos theta = 36/113.84

cos theta = 0.3162

theta = arccos (0.3162)

<em>theta = 71.6 degrees </em>

<em>Hence the angle between the given vectors is 71.6 degrees </em>

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Step-by-step explanation:

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