Determine whether the given ordered pair is a solution of the system.
1 answer:
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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:
- 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:
- O = HB
- A = OH = 19.80
Substituting given values:
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
Let be the price of an adult ticket, and
the price of a child ticket.
The sentence "Three adults and four children must pay $122 for tickets" translates to
The sentence "Two adults and three children must pay $87" translates to
Which leads to the linear system
You can solve this system as you prefer, for example you can multiply the first equation by 2 and the second by 3 to get
Now subtract the first from the second:
Now plug this value for c in any of the equations, for example the first: