Answer:
Price of advance ticket: 15$
Price of same-day ticket: $40
Step-by-step explanation:
Let 
be the price of one advance ticket and 
the cost of one same day ticket.
We know that the combined cost of one advance ticket and one same-day ticket is $55, so
equation (1)
We also know that 20 advance tickets and 35 same-day tickets cost $1700, so
equation (2)
Now, let's solve our system of equations step-by-step:
step 1. Solve for in equation (1)
equation (3)
step 2. Replace equation (3) in equation (2)
equation (4)
step 3. Replace equation (4) in equation (3)
We can conclude that the price of one advance ticket is $15 and the price of one same-day ticket is $40.
Because the cosine and sine must be negative when evaluated in theta, the angle lies on the third quadrant.
<h3>
In which quadrant is the endpoint of the segment that defines the angle?</h3>
We know that if:
- cos(θ) > 0, then we are on the first or fourth quadrant
- sin(θ) > 0, then we are on first or second quadrant.
Here we know that:
sec(θ) < 0
And we know that:
sec(θ) = 1/cos(θ)
Then we have cos(θ) < 0
We also have that:
sec(θ)*csc(θ) > 0
Because sec(θ) < 0, we must have that csc(θ) < 0.
Remember: csc(θ) = 1/sen(θ)
Then sen(θ) < 0.
Then we have the two conditions:
sen(θ) < 0
cos(θ) < 0
- The cosine is negative on the third and second quadrants.
- The sine is negative on the third and fourth quadrants.
The only quadrant where both are negative is the third quadrant, so that is the correct option.
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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Yes, because a rational number is any number that can be expressed as a fraction a/b where a/b are both integers, but cannot be zero.
Answer:
81
Step-by-step explanation:
