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:
Let us say x is a real number and z = a + ib is complex
|x| > 0
|z| = |a + ib| = square-root (a^2 + b^2)
Step-by-step explanation:
|x| > 0 the absolute value of a real number is a nonnegative real number
The |a + ib| = square-root of the sum of the squares of the real components of the complex number
U can find the unit rate by looking where is the point so in that pic the unit rate I see is: 3/5
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
<u>:Substitution property of equality</u>
3. If 2x3 = 11, then 11 = 2x - 3.
<u>:Symmetric property of equality</u>
Answer:
X = 1h15mins
Step-by-step explanation:
Rate Time Distance
Morgan 20 X 20X
Corona 25 X – ¼ 25(X – ¼)
If they meet each other, they need to travle the same distance, mean :
20X = 25(X – ¼)
X = 1.25
1 hour and 15 minutes
