Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
Answer:
5x+7
Step-by-step explanation:
3x+3+2x+4
3x+2x+3+4
5x+7
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Answer:
x=8.5
Step-by-step explanation:
∠AOC=68
∠COD= (2x+5)
∠AOC and ∠COD are complimentary angles. This means that when you add them together you get 90.
∠AOC + ∠COD = 90
68 + (2x+5) =90
2x+5=22
2x=17
x=8.5
Answer:
Ticket Taker Tony collects more tickets per minute.
Step-by-step explanation:
In order to find out which ticket taker collects more tickets per minute, you need to solve for how many tickets each Ticket Taker collects per minute to compare. Since 90:5 and 128:8 are different ratios, you need to find the unit rate, or how many tickets each collects per minute. To find unit rate, you divide the numerator by the denominator:
Ticket Taker Tony:
= 
Ticket Taker Tina:
= 
Every minute, Tony collects 18 tickets, while Tina only collects 16, so Ticket Taker Tony collects more.