Answer:

Step-by-step explanation:
we know that
In the right triangle ABC
The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC
so

substitute the values and solve for AC



These are 3 questions and 3 answers.1) Find
Answer: 4.Explanation:The expression means the
limit as the function f(x) approaches 2 from the right.Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around
y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.Answer: 

To determine each limit you
use the function from the side the value of x is being approached.Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you
follow the line that ends with the open circle at (3, -1).Therefore, the limit is - 1.
Time = distance/speed
The distance between the walkers increases at the rate of (8 mph) -(2 mph) = 6 mph. That distance will be 4.5 mi after ...
(4.5 mi)/(6 mi/h) = 4.5/6 h = 3/4 h
In 3/4 hour they will be 4.5 miles apart.
Answer: Option A and Option C.
Step-by-step explanation:
For this exercise it is important to know the definition of "Vertical Angles".
When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".
By definition, Vertical angles are congruent, which means that the have the equal measure.
In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.
You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:
and 
and 
C. 3:00 p.m.
Low tide occurred at 5:00 a.m. (t=5) and the graph shows that high tide occurred at both 12:00 a.m. (t=0) and 10:00 a.m. (t=10).
That means that between high tide and low tide, 5 hours pass (5-0=5 and 10-5=5).
So if the last high tide was at 10:00 a.m., the next low tide will happen another 5 hours later. 5 hours after 10:00 a.m. is 3:00 p.m.