The cable for a certain suspension bridge is modeled by a parabola with vertex (0,0) at the center of the bridge. At a point that is 150 ft from the center of the bridge, the height of the cable is 30 ft. Which equation represents the height of the cable at a distance x feet from the center?

Step-by-step explanation:

h(x)=ax^2

Given h=30 when x=150 we get

a(150)^2=30

a=30/22500=1/750 so

h(x)=x^2/750

step-by-step explanation:

how many centimeters did the level of the salsa go down by?

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47