Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
= ∠AOH- O = AH = 8
- A = OH = 19.80


∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
= ∠BOH = 38.99930165°- O = HB
- A = OH = 19.80
Substituting given values:



Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
Answer:
The answer is D
Step-by-step explanation:
Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)
Answer:

Step-by-step explanation:




Answer:
6. Z= -11
7. N= 15.25
Step-by-step explanation:
6. Subtract 10 from each side to get Z+3= -8
Then Subtract 3 from each side to get Z= -11
7. Subtract 4 from each side to get 3/4 n= 16
Then Subtract 3/4 to get N= 15.25