Answer:
x ≈ 66.73
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan27° = 
= 
= 
( multiply both sides by x )
x × tan27° = 34 ( divide both sides by tan27° )
x = 
≈ 66.73 ( to 2 dec. places )
Answer:
The number of tickets must be sold is 2500
Step-by-step explanation:
The charge for each ticket = $ 5
The concessions amount = $ 1400
The amount paid to players = $ 2000
The amount paid to workers = $ 1600
The cost of each bag given to each fan = $ 3 per bag
Let The number of tickets sold = x
Now, number of ticket sold = number of fans = x
So, According to question
( charge per ticket × number of fans - cost of each bag × number of fan - concession amount ) = amount paid to players + amount paid to workers
Or, $5 x - $3 x - $1400 = $2000 + $1600
Or, $2 x = $3600 + $1400
Or, $2 x = $5000
∴ x = 
= 2500
Hence Answer
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Learn more about secured loans here:
brainly.com/question/14997152
The unknown values are as follows:
a = 48.7°
b = 51.43
c = 12.16
d = 122.39
<h3 />
<h3>Properties of a right angle triangle:</h3>One angle is equals to 90 degrees
- The sides and angle can be calculated using trigonometric ratios
Therefore,
sin 72.3° = opposite / hypotenuse
sin72.3° = 49 / b
b = 49 / sin 72.3
b = 49 / 0.95266148125
b = 51.4348495916
b = 51. 43
a = (180 - 90 - 23.6) - (180 - 72.3 - 90)
a = 66.4 - 17.7
a = 48.7°
tan 23.6 = opposite /adjacent
tan 23.6 = 49 / c
c = 49 / tan 23.6
c = 112.158945248
c = 12.16
sin 23.6 = opposite /hypotenuse
sin 23.6 = 49 / d
d = 49 / sin 23.6
d = 49 / 0.40034903255
d = 122.39
learn more on right angle triangle: brainly.com/question/9445713?referrer=searchResults
