Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
2.7°
-7.3°
5.4°
15.4°
Answers
9514 1404 393
Answer:
(c) 5.4°
Step-by-step explanation:
We can simply determine the difference between the angles of the vectors:
arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°
The angle between the vectors is about 5.4°.
__
Alternate solutions
1) We could also determine the angle of their ratio.
u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i
angle = arctan(0.1/1.05) = 5.440°
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2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))
tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))
= (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2
∠u -∠v = arctan(2/21) = 5.440°
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
the two numbers are -5 and 1
Step-by-step explanation:
Let x and y be the first number and second number respectively.
According to the question, we can find 2 equations:
2x + 5y = -5
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On solving,
x = -5
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Answer:
X=-5,Y=1
Step-by-step explanation:
First equation: 2X+5Y=-5
Second equation:3X+10Y=-5
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Answer:
55.0%
Step-by-step explanation:
I used a calculator
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Answer:
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Answers
Equivalent Expression: 9x + 15x = 54
Step-by-step explanation:
First, yo would do 3^2 which is 3 times 3 equals 9.
So, it would be 9x + 15x = 54
Then, you combine like terms, 9x + 15x
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Last, would be 54 = 24x
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Answers
Answer:
Well it will be 7+5=12 and 6+6=12
Step-by-step explanation:
The two factors of 12 whose sum is 7 are 4, 3.
What is meaning of factors ?Those numbers which can completely divide a number such that the remainder is zero are called factors of the number they divide.
The number given is
12
The factors of 12 are 1, 2, 3, 4, 6, 12.
The two factors of 12 whose sum is 7 are 4, 3
4+3 = 7
Therefore ,The two factors of 12 whose sum is 7 are 4, 3.
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