So what’s the question like I can’t see it :)
Answer: a) Yes, there is enough fance
b) 58.1° and 47.9°
c) The city will not approve, because 1/3 of the area is just 2220.5ft²
Step-by-step explanation:
a) using law of cosines: x is the side we do not know.
x² = 126² + 110² - 2.126.110.cos74°
x² = 20335.3
x = 142.6 ft
So 150 > 142.6, there is enough fance
b) using law of sine:
sin 74/ 142.6 = sinα/126 = sinβ/110
sin 74/ 142.6 = sinα/126
0.006741 = sinα/126
sinα = 0.849
α = sin⁻¹(0.849)
α = 58.1°
sin 74/ 142.6 = sinβ/110
sin 74/ 142.6 = sinβ/110
0.006741 = sinβ/110
sinβ = 0.741
β = sin⁻¹(0.741)
β = 47.9°
Checking: 74+58.1+47.9 = 180° ok
c) Using Heron A² = p(p-a)(p-b)(p-c)
p = a+b+c/2
p=126+110+142.6/2
p=189.3
A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)
A = 6661.5 ft²
1/3 A = 2220.5
So 2300 > 2220.5. The area you want to build is bigger than the area available.
The city will not approve
Answer:
<em>Neither A nor B</em>
Step-by-step explanation:
Neither set of order pairs represent a function, because none of the points have a correlating function throughout them.
Answer:
x=4
Step-by-step explanation:
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
