Did you know the moon has moonquakes.
bruh
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.
Step-by-step explanation:
<u>Pattern 1</u> :
Arithmetic Sequence
Common term = 4
<u>Pattern 2</u> :
Geometric Sequence
Common ratio = 2
Answer:
x= -2, y = -3
Step-by-step explanation:
1. substitute x = 4+2y in the first equation: 
simplify it : 
2. isolate y in 8 + 5y = -7 --> 5y = -7 - 8 -->
3. solve for y: 5y = -15 --> y = -15/5 --> y= -3
4. solve for x: x = 4 + 2y
x = 4 + 2(-3)
x = 4 + (-6)
x = -2
6 + 3y = 4y +2
3y - 4y = 2 - 6
-y = -4
y = 4
hope that helps :)
