A function has a vertical asymptote where it is not defined, and the logarithm is defined only if its argument is strictly positive: it has a vertical asymptote if its argument is zero, and is not defined if its argument is negative.
So, you have a vertical asymptote where
5. arc length = radius x central angle in radians
arc length = 28 x 3π/4 = 21π
answer: (21π) cm
6. You are right. Quadrant 1 features points where both the x coordinate and the y coordinate are positive. Cosine and sine are basically special coordinates.
7. We need to find the tan(2π/3). The hint is quite bad I must say because you need to find the sine and cosine of an angle to find tangent. Okay, back to the problem.
tan(2π/3) = sin(2π/3)/cos(2π/3)
We know π/3 to be a special angle on the unit circle. It has a cosine of 1/2 and a sine of . Because we know this, its partner in quadrant 2 (2π/3) will have a cosine of -1/2 and a sine of .
tan(2π/3) = ÷ -1/2= -√3
answer: -√3
8. Both angles are special angles so...
2cos(π/6) - 2tan(π/3) = 2() - 2( ÷ 1/2) = √3 - 2√3 = -√3 (ok what a coincidence)
answer: -√3
The ratio of Nathan's nickels to dimes to quarters is 4 : 4 : 17.
<h3>What is the ratio ?</h3>
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
- Number of dimes = 1/5 x 40 = 8
- Number of nickels = 1/5 x 40 = 8
- Number of quarters = 40 - 8 - 8 = 34
The ratio = 8 : 8 : 34 = 4 : 4 : 17
To learn more about ratios, please check: brainly.com/question/25927869
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it =six and that's all so your wellcome
Answe
~11:
A:x6
b:+3
~12:
A:-3
b:x7
im too lay to helpu on # 13 so figure that out your self ^3^ have a good day