285 / 6 = 47.5
There are 47.5 6s in 285.
ANSWER
![r = x - \frac{3}{2}](https://tex.z-dn.net/?f=r%20%3D%20x%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20)
EXPLANATION
The volume of the cone is
![V=8\pi \: {x}^{2} + 24\pi \: x + 18\pi](https://tex.z-dn.net/?f=V%3D8%5Cpi%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2024%5Cpi%20%5C%3A%20x%20%2B%2018%5Cpi)
The height of the is 6 inches.
We put the values into the volume of cone to get.
![8\pi \: {x}^{2} + 24\pi \: x + 18\pi = \frac{1}{3} \times \pi \: {r}^{2} \times 6](https://tex.z-dn.net/?f=8%5Cpi%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2024%5Cpi%20%5C%3A%20x%20%2B%2018%5Cpi%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%20%5Cpi%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%20%5Ctimes%206)
![8\pi \: {x}^{2} + 24\pi \: x + 18\pi = 2 \pi \: {r}^{2}](https://tex.z-dn.net/?f=8%5Cpi%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2024%5Cpi%20%5C%3A%20x%20%2B%2018%5Cpi%20%3D%202%20%5Cpi%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20)
Divide through by 2π.
![4 {x}^{2} + 12x + 9 = {r}^{2}](https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%209%20%3D%20%7Br%7D%5E%7B2%7D%20)
The expression on the LHS is a perfect square trinomial.
![( {x - \frac{3}{2} })^{2} = {r}^{2}](https://tex.z-dn.net/?f=%28%20%7Bx%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20%7D%29%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20)
![r = x - \frac{3}{2}](https://tex.z-dn.net/?f=r%20%3D%20x%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20)
Answer: x = 11 / 3
Step-by-step explanation:
Multiply the numbers
−
1
⋅
2
3
=
3
x
−
1
⋅
2
3
=
3
x−1⋅32=3
−
2
3
=
3
x
−
2
3
=
3
x−32=3
2
Add
2
3
2
3
32
to both sides of the equation
3
Simplify
The slope intercept equation can be represented as follows:
y = 9 / 7 x + 1
y = 11 / 4 x - 8
y = 11 / 8 x + 6
<h3>How to write slope intercept equation?</h3>
The slope intercept equation can be represented as follows:
y = mx + b
where
Therefore,
The slope intercept equation can be represented as follows:
9x - 7y = - 7
7y = 9x + 7
y = 9 / 7 x + 1
11x - 4y = 32
4y = 11x - 32
y = 11 / 4 x - 8
11x - 8y = -48
8y = 11x + 48
y = 11 / 8 x + 6
learn more on slope intercept equation: brainly.com/question/206476
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Answer:
b. 55
Step-by-step explanation:
x+90+y = 180 (Being angles of a traingle)
35+ 90+y = 180
125 + y = 180
y = 180-125
Therefore , y=55