<h3>
Answer:</h3>
a. -(3√13)/13
<h3>
Step-by-step explanation:</h3>
The cosine can be found from the tangent by way of the secant.
tan(θ)² +1 = sec(θ)² = 1/cos(θ)²
Then ...
cos(θ) = ±1/√(tan(θ)² +1)
The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.
cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)
cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A
The answer to the question is
B. The north restaurant can expect to have 20 fewer morning visitors than the south restaurant.
Hope this helps!
<span><span>A.
</span>y= 4 / x</span>
Proportionality or variation is state of relationship or
correlation between two variables It has two types: direct variation or
proportion which states both variables are positively correlation. It is when
both the variables increase or decrease together. On the contrary, indirect
variation or proportion indicates negative relationship or correlation. Elaborately,
the opposite of what happens to direct variation. One increases with the other
variables, you got it, decreases. This correlations are important to consider
because you can determine and identify how two variables relates with one
another.
Notice x = y (direct), y=1/x (indirect)
Answer:
2) Vertical translation of 10 units
Step-by-step explanation:
Given
H and H'
Required
Which maps H to H'
First, we pick the coordinate of any point on H
First, we pick a corresponding coordinate on H'
The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.
By looking at the coordinates of H and H, we have:
H: 
and H': --- The same x coordinates
H: 
and H': 
--- Different y coordinates
The difference between the y coordinates is:
Hence,
<em>2) Vertical translation of 10 units
</em> is correct.
Answer:
1. Sample space: red or blue
2. Red: 3/5, Blue 2/5
3. 60% probability of selecting a red, 40 percent probability
4. 1 more blue
Step-by-step explanation:
3. 3/5 x 2 = 6/10 --> 60%
4. 5 total, 3 red, 2 blue (+ 1 blue) = 6 total, 3 red, 3 blue
