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icang [17]
3 years ago
6

40 POINTS PLEASE HELP

Mathematics
1 answer:
kogti [31]3 years ago
7 0
You’re gonna use the midpoint formula to find the radius: (1+7/2, 2-6/2) and get (4,-2). Now you use the distance formula to find the radius which would be √(1-4)^2 + (2-(-2)^2 and get 5 (√= square root of). Now you plug that into the circumference equation C= 2 x pi x 5 and get 31.4 units. Sorry that took me so long and hope this helps you out!!
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Find the angle between the given vectors to the nearest tenth of a degree. u = (8, 4), v = (9, -9)
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Answer:

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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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