Solve System Of Equation −4x+11y=15 x=2y x= y=
2 answers:
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This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
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OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.
Answer:
a)
b)
c)
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is