Answer:
A. t(x) = 450 - 0.06x
Step-by-step explanation:
The layer which is originally 450 m thick is decreasing by 0.06 m.
450 - 0.06
... per day. x represents days.
0.06x
So,
450 - 0.06x
The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12
Answer:
R = 10 cm
Step-by-step explanation:
The area of a spherical shape is given by :
![A=4\pi r^2](https://tex.z-dn.net/?f=A%3D4%5Cpi%20r%5E2)
Where
r is the radius of the sphere
ATQ,
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.
The radius of each small bubble is 5 cm
Using the given condition,
![4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm](https://tex.z-dn.net/?f=4%5Cpi%20R%5E2%3D4%5Ctimes%20%284%5Cpi%20r%5E2%29%5C%5C%5C%5CR%5E2%3D4r%5E2%5C%5C%5C%5CR%3D%5Csqrt%7B4r%5E2%7D%20%5C%5C%5C%5CR%3D2r%5C%5C%5C%5CR%3D2%5Ctimes%205%5C%5C%5C%5CR%3D10%5C%20cm)
So, the radius of the large bubble is equal to 10 cm.
Answer:
Step-by-step explanation:
(2x+3)^2=4x+9
Answer: Your question options are not legible but the inverse of the function is f-1(x) = (x + 2) / 2
Step-by-step explanation:
y = 2x + 2
Make x the subject of formula:
2x = y - 2
x = (y - 2) / 2
Now substitute y for x:
(x - 2) / 2
Y = (x - 2) / 2 is the inverse equation of the above graph.