Answer:
x = 2√3 ≈ 3.464
Step-by-step explanation:
The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...
Tan = Opposite/Adjacent
Filling in values, we have ...
tan(30°) = x/6
Multiplying by 6 gives ...
x = 6tan(30°) = 6(√3/3)
x = 2√3 ≈ 3.464
Answer:
(blank) > 5600
Step-by-step explanation:
Answer: #4 C Domain is x such that x is greater than -1 (all real numbers greater than -1)
#5 B Points C, F & G
Step-by-step explanation: Look at the coordinate of the vertex. It is at (-1, 1) so the -1 is the lowest number in the Domain (running left to right). The attows at the right ends mean that the lines go to infinity. The symbol ∈ means "belongs to" the R (special font not available here) means "all real numbers.
The y-value, 1 is not relevant here, as the Range (up and down, like a mountain range) is infinity, and the arrows keep going forever. ∈R means all real numbers.
For the Triangle, first imagine a box with the boundaries matching the domain and range given, so the left side is at -2, the right side is at 6 [Domain] and the top and bottom are at 5 and -1 [Range]
Pick the points that are on the boundary lines. C is at (6,3) on the right boundary, F is at (2,-1) on the bottom boundary and G is at (-2,5) at the corner where the top and left sides meet.
Answer:
$324 ÷ the number of tickets Suzie bought
Step-by-step explanation:
There isn't enough information to answer this question, but all you have to do is divide the # of tickets purchased by 324. In other words, 324 divided by the number of tickets will give you the price of each ticket.