The answer is 1 boy for every 4 girls :-)
<u>Answer:</u>
Height of cables = 23.75 meters
<u>Step-by-step explanation:</u>
We are given that the road is suspended from twin towers whose cables are parabolic in shape.
For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.
Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of
or
, and y at 95.
We know that the equation of a parabola is in the form
and here it passes through the point
.
![y=ax^2](https://tex.z-dn.net/?f=y%3Dax%5E2)
![95=a \times 600^2](https://tex.z-dn.net/?f=95%3Da%20%5Ctimes%20600%5E2)
![a=\frac{95}{360000}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B95%7D%7B360000%7D)
![a=\frac{19}{72000}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B19%7D%7B72000%7D)
So new equation for parabola would be
.
Now we have to find the height
of the cable when
.
![y=\frac{19 (300)^2}{72000}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B19%20%28300%29%5E2%7D%7B72000%7D)
y = 23.75 meters
Answer:ABD is equal to CDB
Step-by-step explanation:
The reason you can tell is if you was to fold them both they would match up
The question ask to find the rate of change of the distance from the paticle to the origin at this instant where as a particle is moving along the curve y = 5sqrt(5x+4) and base on my calculation, I came up with an answer of 254/sqrt(226). I hope you are satisfied with my answer and feel free to ask for more