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lakkis [162]
3 years ago
9

The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below. V=1/3πR^H Write the formula to

calculate the height, H. PLEASE HELP
Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

h=\frac{1}{3} \pi r^{2} v

Step-by-step explanation:

height is equal to one third times pi times radius squared times volume

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C. equilateral

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Which relationship describes angles 1 and 2?
Sholpan [36]

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vertical angles and complementary

6 0
3 years ago
Petes boat can travel 48 miles upstream in 4 hours. The return trip takes 3 hours. Find the speed of the boat in still water and
tankabanditka [31]
So... hmm bear in mind, when the boat goes upstream, it goes against the stream, so, if the boat has speed rate of say "b", and the stream has a rate of "r", then the speed going up is b - r, the boat's rate minus the streams, because the stream is subtracting speed as it goes up

going downstream is a bit different, the stream speed is "added" to boat's
so the boat is really going faster, is going b + r

notice, the distance is the same, upstream as well as downstream
thus   \bf \begin{cases}
b=\textit{rate of the boat}\\
r=\textit{rate of the river}
\end{cases}\qquad thus
\\\\\\

\begin{array}{lccclll}
&distance&rate&time(hrs)\\
&----&----&----\\
upstream&48&b-r&4\\
downstream&48&b+4&3
\end{array}
\\\\\\

\begin{cases}
48=(b-r)(4)\to 48=4b-4r\\\\
\frac{48-4b}{-4}=r\\
--------------\\
48=(b+r)(3)\\
-----------------------------\\\\
thus\\\\
48=\left[ b+\left(\boxed{\frac{48-4b}{-4}}\right) \right] (3)
\end{cases}

solve for "r", to see what the stream's rate is

what about the boat's? well, just plug the value for "r" on either equation and solve for "b"
5 0
3 years ago
find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1,2) and B is at (8, 16).​
Paha777 [63]

Answer:

Step-by-step explanation:

A(1,2) ---->(x1,y1)

B(8,16) ----->(x2,y2)

m:n = 5:2

M(\frac{x_{2}m+x_{1}}{m+n},y_{2}m+y_{1}}{m+n})\\\\=M(\frac{5*8+2*1}{5+2},\frac{5*16+2*2}{5+2})\\\\=M(\frac{40+2}{7},\frac{80+4}{7})\\\\=M(\frac{42}{7}{,\frac{84}{7})\\\\=M(6,12)

7 0
3 years ago
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