Answer: F
Step-by-step explanation:
For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.
2x=10
x=5
Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.
The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.
Answer:
52.08°
Step-by-step explanation:
Law of sine: 
=
93*14=25x
1302=25x
52.08=x
Lloyd's bank account will be closed because he owes more than $40, he would have to pay the bank $53.50 to no longer owe them any money.
It gets closed because |-53.50| > 40
N + 1 = 4(n – 8)
Use distributive property for this part: 4(n – 8) ----> 4n - 32
n + 1 = 4n - 32
Get the variable on one side:
n + 1 = 4n - 32
-n -n
1= 3n - 32
Get the variable on its own:
1= 3n - 32
+32 +32
33 = 3n
Divide by 3 on both sides:
33/3 = 3n/3
n = 11
Step-by-step explanation:
<u>There is one possible way:</u>
- (4x² - 47x + 141)/(x² + 13x + 40) =
- (4x² + 4*13x + 4*40 - 47x - 52x - 160 + 141)/(x² + 13x + 40) =
- 4 - (99x + 19)/(x² + 13x + 40)
No further simplification
