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3 years ago

if the volume of a cone is 108 pi cubic units and the radius is 6 units what is the height of the cylinder

1 answer:

6 0

$\begin{matrix}
V=\pi r^2\left(\frac{h}{3}\right)\\\\
108=\pi \left(6\right)^2\left(\frac{h}{3}\right)\\\\
\pi \left(6\right)^2\left(\frac{h}{3}\right)=108\\\\
\pi \left(36\right)\left(\frac{h}{3}\right)=108\\\\
12\pi h=108\\\\
\frac{12\pi h}{12\pi }=\frac{108}{12\pi }\\\\
h=\frac{9}{\pi }\\\\
\mathbf{h\approx 2.86\:units}
\end{matrix}$

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Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirre

NeTakaya

Answer:

She caught 10 rabbits

Step-by-step explanation:

Given

Represent Rabbits with R; Squirrels with S and Deer with D

$S = 3D$

$S = R - 5$

$S + R+ D = 10 +4D$

Required

Determine the value of R

$S + R+ D = 10 +4D$

Solve for R

$R = 10 + 4D - D - S$

$R = 10 + 3D - S$

Recall that $S = 3D$

Substitute 3D for S

$R = 10 + 3D - 3D$

$R = 10$

Hence;

<em>She caught 10 rabbits</em>

8 0

3 years ago

Solve the system of equations by graphing. y=-3/2x and y =-1/2x-2

nadezda [96]

The answer is here!!!!!!

7 0

3 years ago

Find the equation of the line that contains the point (-1,-11) and is parallel to the line 7x+3y=10

madam [21]

Y=- \frac{7}{3} $-13 \frac{1}{3}$ .

To find the equation of a line, you need two things: the slope and the y-intercept.

The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:
$3y=10-7x$
Then divide both sides three:
b $y= \frac{10}{3} - \frac{7}{3} x$
So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}

Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.
$(-11)=- \frac{-7}{3} (-1) + b$
Solving this, we can subtract 7/3 from both sides:
$-11- \frac{7}{3} = b$
Therefore, b= $-13 \frac{1}{3}$

Plugging the m= - \frac{7}{3} and the b= $-13 \frac{1}{3}$ back into the y=mx+b format, your parallel line is y=- \frac{7}{3} $-13 \frac{1}{3}$ .

5 0

3 years ago

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$