The reference angle for an angle whose measure is -440° is _____. 60° 80° 100°
1 answer:
Answer:
80°
Step-by-step explanation:
The reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis.
An angle of -440° lies in the fourth quadrant.
For an angle θ in the fourth quadrant, the reference angle is 360° + θ.
The reference angle is
360° - 440° = 80°
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Answer
Find out the what is the sale price of the jeans including tax .
To prove
Let us assume that the sale price of the jeans including tax be x .
As given
Michael is buying a pair of jeans that regularly cost $40.
They are on sale for 20% off.
If the tax rate is 8% .
20% is written in the decimal form
= 0.20
8% is written in the decimal form
= 0.08
Than the equation becomes
x = 40 - 40 × 0.20 + 40 × 0.08
x = 40 - 8 + 3.2
x = 43.2 - 8
x = $35.2
Therefore the sale price of the jeans including tax be $ 35.2 .
Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
