Answer:(1,1)
Step-by-step explanation:
y=4.5x
x=y/4.5
put value of x
y=4.5(y/4.5)
y=y
Let x be number of T-Shirts made.
Therefore,
Revenues from the sell = 12*x = 12x
The cost making them = 20+(8*x) = 20+8x
Profits = 12x-(20+8x) = 12x -20-8x = 4x - 20
Now, this profit should be atleast $100. Then,
100<4x-20 => 100+20<4x => 120<4x => 120/4<x => x>30
Therefore, more than 30 T-shirts should be made in order to make atlease $100 profit.
Answer:
32.78
Step-by-step explanation:
Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.
Let's find a and b.
Finding a:
Reference angle = 30°
Opp = 12 ft
Adj = a
Using trigonometric ratio formula, we have:
tan(30) = 12/a
Multiply both sides by a
a*tan(30) = 12
Divide both sides by tan(30)
a = 12/tan(30)
a = 20.78 (nearest hundredth)
Finding b:
Reference angle = 45°
Opp = 12 ft
Adj = b
Using trigonometric ratio formula, we have:
tan(45) = 12/b
Multiply both sides by a
b*tan(45) = 12
Divide both sides by tan(45)
b = 12/tan(45)
a = 12
Length of AC = 20.78 + 12 = 32.78
Domain: [-5, 5)
range:(-4,4]
hope this helps
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