Answer:
150˚ or 330˚
Step-by-step explanation:
It is easier to use the calculator, but you can use the unit circle too.
Calculator:
Plug in the equation without the negative, and you get 30˚ which is your reference angle. But since tangent is negative, the angle is in either the second quadrant, or the fourth (because tangent is negative in these quadrants). Now using your reference angle, you can find the answer.
Useful Log Rules:
- log(A*B) = log(A)+log(B) .......... log rule 1
- log(A/B) = log(A) - log(B) .......... log rule 2
- log(A^B) = B*log(A) ................... log rule 3
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Part (a)
All logs shown below are base 3.
log(500) = log(5*100)
log(500) = log(5*10^2)
log(500) = log(5)+log(10^2) .... use log rule 1
log(500) = log(5) + 2*log(10) .... use log rule 3
log(500) = 1.4650 + 2*2.096 ....... substitution
log(500) = 5.657
<h3>Answer: 5.657</h3>
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Part (b)
All logs shown below are base 3.
log(2) = log(10/5)
log(2) = log(10) - log(5) .... use log rule 2
log(2) = 2.096 - 1.4650 ....... substitution
log(2) = 0.631
<h3>Answer: 0.631</h3>
Answer: Option D
Step-by-step explanation:
I got it right on Edmentum/Plato
I don't really understand what you're asking, but say you have the number 67,to find 23% of that number, you would multiply 67 by .23, you will then get whatever 23% of 67 is.