Answer:
B) 25.1 units
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:
BC = 5 -(-2) = 7
The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.
AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)
AB = √100 = 10
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AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)
AC = √65 ≈ 8.06
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So, the perimeter is ...
P = AB +BC +AC
P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B
Answer:
3.33%
Step-by-step explanation:
(62/60)X100=103.33 meaning the bottle was overfilled by 3.33%
Brainliest please
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>
Answer:
Step-by-step explanation:
Hope this helps!
=)
