Answer:
Amount of fuel antifreeze = 6,279 gallon
Step-by-step explanation:
Given:
Amount of fuel = 273,000-gallon
Antifreeze = 2.3 %
Find:
Amount of fuel antifreeze
Computation:
Amount of fuel antifreeze = Amount of fuel × Antifreeze
Amount of fuel antifreeze = 273,000 × 2.3 %
Amount of fuel antifreeze = 6,279 gallon
Let ABC be a triangle in the 3rd quadrant, right-angled at B.
So, AB-> Perpendicular BC -> Base AC -> Hypotenuse.
Given: sinθ=-3/5 cosecθ=-5/3
According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
Since sinθ=Perpendicular/Hypotenuse ,
AC=5 and AB=3
Substituting these values in equation (1)
〖BC〗^2=〖AC〗^2-〖AB〗^2
〖BC〗^2=5^2-3^2
〖BC〗^2=25-9
〖BC〗^2=16
BC=4 units
Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
So,cosθ=Base/Hypotenuse Cosθ=-4/5
secθ=Hypotnuse/Base secθ=-5/4
tanθ=Perpendicular/Base tanθ=3/4
cotθ=Base/Perpendicular cotθ=4/3
C) 250 is the right answer
Y = 3.5x + 6
Shows the 6 inital fee plus the 3.50 for each pound
