Answer:
696.265 inches
Step-by-step explanation:
Radius = 27/2 = 13.5
2 semicircles + 2 lengths
(3.14 × 13.5²) + 2(62)
696.265 inches
Vertex at the origin and opening down → y=ax^2
Width: w=16
x=w/2→x=16/2→x=8
x=8, y=-16→y=ax^2→-16=a(8)^2→-16=a(64)→-16/64=a(64)/64→-1/4=a→a=-1/4
y=ax^2→y=-(1/4)x^2
7 m from the edge of the tunnel → x=w/2-7=8 m-7 m→x=1 m
x=1→y=-(1/4)x^2=-(1/4)(1)^2=-(1/4)(1)→y=-1/4
Vertical clearance: 16-1/4=16-0.25→Vertical clearance=15.75 m
Please, see the attached file.
Answer: Third option 15.75 m
Answer:
Step-by-step explanation:
hello :
f(x) = a(x - h)²-k ....vertex form when the vertex is : (h,k)
h=1 and k=0 so : f(x) = a(x-1)²
a parabola that passes through the point (2,8) : f(2)=8
a(2-1)² =8
a= 8
f(x) = 8(x-1)²= 8(x²-2x+1)
f(x) 8x²-16x+8 .....standard form