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irina1246 [14]
3 years ago
12

A cone ha a volume of 27 pi cm cubed and a radius of 3 cm what is the height of the cone

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0
I answered this before and explained this but the answer is 3π I think. Hope this helps

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2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

6 0
3 years ago
What 's the radius of a circle with an area of 64 square feet
SVEN [57.7K]

Answer:

5.09 ft

Step-by-step explanation:

Use the formula 4πr^2 = 64

6 0
3 years ago
49v2 + 42v<br> 56v3<br> Simplify rational expression
Alchen [17]

Answer:

Simplify each term.

49 v ^2  +  2352 v ^4

Step-by-step explanation:

5 0
3 years ago
Which is the graph of y = – 3?
KATRIN_1 [288]

Answer:

this should be the graph.

Step-by-step explanation:

I hope this helps.

5 0
2 years ago
Read 2 more answers
Help please (let the pic load)
Dmitriy789 [7]
For question 13 ( operations ) you must do the brackets first, so you do 5+1 first which equals __ and then you divide the answer by 6.
3 0
3 years ago
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