He will need eight 2/3 yard sections of fence
So you can use tan here, which is opposite/adjacent. (We're looking for the Adjacent)
Since we know Trail E is 1700, we're looking for the patch of trail A that is the adjacent. So if we put 42 into a tan calculator we get about 0.9.
So that means that 1,700 / adjacent = 0.9.
So we can also say
1,700/0.9 = adjacent
or, 1,700/0.9 = 1888.89
Now, we have the little patch of trail A in the smaller right triangle. We want to find the patch of trail A in the larger right triangle.
So just do 5,000 - 1,888.89
You get 3111.11
So if we know that's that, and we're looking for the hypotenuse, or Trail B, we can use cosine, because that's adjacent / hypotenuse.
So 42 in a cosine calculator is 0.74 ish.
So 3111.11 / hypotenuse = 0.74
Or 3111.11 / 0.74 = hypotenuse
Or 3111.11 / 0.74 = 4204
So Trail C should be 4204 feet long.
Answer:
We took $ 24 to the movies.
Step-by-step explanation:
Let total money be
On movies = Half of the money =
On popcorn = 
on candy = $2
On soda = $3
total money spent =
+
+ 2+3+1
x =
+
+ 2+3+1
x-
-
= 6
-
-
=6

Since the equations are for absolute value this means any negative number used the answer would become positive, so to get the lowest value possible x would need to equal 0, which would eliminate the x variable from the equations.
Replace x with 0 and solve:
|5(0)^2 - 16| + |10(0) - 2|
Simplify:
|0 - 16| + |0 - 2|
|-16| + |-2|
Combine:
|-18|
Absolute Value = 18
"No, because using the y-axis tests only whether x = 0 is mapped to multiple values." Shayla probably used the wrong method in finding whether the graph is a function or not.