SOLUTION: How much artificial turf should be purchased to cover an athletic field that is in the shape of a trapezoid with a height of H = 17 m and bases that measure T = 47 m and B = 39 m?

Question 1126621: How much artificial turf should be purchased to cover an athletic field that is in the shape of a trapezoid with a height of H = 17 m and bases that measure T = 47 m and B = 39 m?

The path of water from a hose on a fire tugboat can be approximated by the equation
y = −0.0055x2 + 1.25x + 15,
where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat. When the water from the hose is 7 feet above the ocean, at what distance from the tugboat is it? Round answer to nearest hundredth
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How much artificial turf should be purchased to cover an athletic field that is in the shape of a trapezoid with a height of H = 17 m and bases that measure T = 47 m and B = 39 m?
:
the area of a trapezoid = (a + b)
A = (47 + 39)
A = 8.5 * 86
A = 731 sq/m
:
:
The path of water from a hose on a fire tugboat can be approximated by the equation
y = −0.0055x^2 + 1.25x + 15,
where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat.
When the water from the hose is 7 feet above the ocean, at what distance from the tugboat is it?
Round answer to nearest hundredth.
:
-.0055(x^2) + 1.25x + 15 = 7
-.0055x^2 + 1.25x + 15 - 7 = 0
-.0055x^2 + 1.25x + 8 = 0
Use quadratic formula: a=-.0055; b=1.25; c=8
I got a positive solution of:
x = 233.50 feet from the Tugboat
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