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3 years ago

100 points

Mathematics

2 answers:

SashulF [63]3 years ago

8 0

18.84 feet with an exponent of 3 hope this helps

inna [77]3 years ago

3 0

$\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}$

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

height (h) = 4 ft
radius. (r) = 0.5 ft

$\large \boxed{ \mathrm{volume =\pi {r}^{2} h}}$

$3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4$

$\mathrm{3.14 \: ft {}^{3} }$

Since volume of each cylinder is equal, so total volume of six cylindrical post :

$3.14 \times 6$

${ \mathrm{18.84 \: ft {}^{3} }}$

_____________________________

$\mathrm{ ☠ \: TeeNForeveR \:☠ }$

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The sum of -6 times a number x and 9 is at least 27. what are the possible values of the number

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3 years ago

How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y= $\frac{1}{3}$ x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$