Answer:
no, its not a good fit because if 36 is 2 less than 38, -2(2) +38 cant equal 36 because -2 x 2 equals -4 not -2
Step-by-step explanation:
Let the number of students who bought tickets be s,
Let the number of adults who bought tickets be a,
Equation 1:
Equation 2:
Substitute ( 2 ) into ( 1 ),
Substitute a = 110 into ( 2 ),
Ans: 40 Student Tickets, 110 Adult Tickets
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
Answer:
380 if rounded to the nearest whole number
Step-by-step explanation:
