685-85=600
1 year =12 months
12 multiply by 2 =24
600 divided by 24=25
answer=25
Given:
The radius, r=4x
The height,
![h=21xy^2](https://tex.z-dn.net/?f=h%3D21xy%5E2)
To find the volume of the cone:
The volume of the cone formula is,
![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
Substitute the values of r and h in the above formula we get,
![\begin{gathered} V=\frac{1}{3}\pi\times(4x)^2\times21xy^2 \\ =\frac{1}{3}\pi\times16x^2\times21xy^2 \\ =\pi\times16x^2\times7xy^2 \\ =112\pi x^3y^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Ctimes%284x%29%5E2%5Ctimes21xy%5E2%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Ctimes16x%5E2%5Ctimes21xy%5E2%20%5C%5C%20%3D%5Cpi%5Ctimes16x%5E2%5Ctimes7xy%5E2%20%5C%5C%20%3D112%5Cpi%20x%5E3y%5E2%20%5Cend%7Bgathered%7D)
Hence, the volume of the cone is
![V=112\pi x^3y^2](https://tex.z-dn.net/?f=V%3D112%5Cpi%20x%5E3y%5E2)
Thus, the correct option is option D.
Answer:
y=-3/4x - 7
Step-by-step explanation:
When finding the slope given a point and a slope, we do the following.
y=mx+b (Slope-intercept Form)
m is the slope and x,y are the points
Plug in everything
-1= -3/4(-8)+b
Multiply
-1 = 6 + b
-7 = b
This gives us the final equation of y=-3/4x - 7
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Answer: -15 meters
Step-by-step explanation:
Given: The Tunnel of Fear ride climbs straight up to its peak above the ground = 50 meters or +50 meters
Then, it drops into an underground tunnel = 65 meters or -65 meters
Thus, the elevation of the tunnel relative to the ground= +50-65=-15 meters
Hence, the elevation of the tunnel relative to the ground= -15 meters.