A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1
/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land? Please Help Me!
2 answers:
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Answer:
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector minus the area of the triangle
step 1
Find the area of the circle
the area of the circle is equal to
we have
substitute
step 2
Find the area of the sector
we know that
The area of the circle subtends a central angle of 360 degrees
so
by proportion find out the area of a sector by a central angle of 72 degrees
step 3
Find the area of triangle
The area of the triangle is equal to
step 4
Find the area of the shaded region
Subtract the area of the triangle from the area of the sector