Answer:
(d) y= (1 1/9)x
Step-by-step explanation:
A proportional relation is described by the equation ...
y = kx
Dividing by x shows how to find the value of k:
k = y/x
For the given values of y and x, the value of k is found to be ...
k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9
The relationship is represented by the equation ...
y = (1 1/9)
Answer:
A. 10cm
B. 8 times
Step-by-step explanation:
The question is on volume of a conical container
Volume of a cone= ![\pi r^{2} h/3](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h%2F3)
where r is the radius of base and h is the height of the cone
Given diameter= 12 cm, thus radius r=12/2 =6 cm
![v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h](https://tex.z-dn.net/?f=v%3D%5Cpi%20r%5E2h%2F3%20%5C%5C120%5Cpi%20%3D%5Cpi%20%2A6%2A6%2Ah%2F3%5C%5C120%5Cpi%20%3D12%5Cpi%20h%5C%5C10%3Dh)
h=10 cm
B.
If height and diameter were doubled
New height = 2×10 =20 cm
New diameter = 2×12 = 24, r=12 cm
volume = ![v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi](https://tex.z-dn.net/?f=v%3D%5Cpi%20r%5E2h%2F3%5C%5Cv%3D%5Cpi%20%2A12%2A12%2A20%2F3%5C%5Cv%3D960%5Cpi)
To find the number of times we divide new volume with the old volume
![N= 960\pi /120\pi \\\\N= 8](https://tex.z-dn.net/?f=N%3D%20960%5Cpi%20%2F120%5Cpi%20%5C%5C%5C%5CN%3D%208)
Do this every day
1x1=
2x1
3x1
4x1
5x1
6x1
AND SO ON JUST DO TABLE BY TABLE
The x terms add up to 4x and the numbers add up to 12
4x + 12 = 4(x + 3)
Its C