A feeding trough was made by hollowing out half of a log. The trough is shaped like half a cylinder. It is 5 feet long and has an interior diameter of 1.5 feet. What is the volume of oats that will fill the trough?

Answers

Answer 1

Answer: Answer=4.18 feet³

The formula for the volume of a cylinder is:

V=πr²h

However, the cylinder in the problem is half cylinder, so we have to edit the formula to.

V=(πr²h)/2

Now lets plug in the information known...

diameter/2=radius
1.5/2=radius
0.75=radius

V=(π*0.75²*5)/2
V=(π*0.5625*5)/2
V=(π*2.8125)/2
V=(8.8357)/2
V=4.1785 feet³
round to the nearest hundredth
V=4.18 feet³

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Which of these equations is for a line perpendicular to y-3=5(x-2)?

Answers

Answer:

Step-by-step explanation:

y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)

y = 5(x-2) + 3 (distribute parentheses)

y = x(5) - 2(5) + 3

y = 5x -10 + 3

y = 5x - 7

recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)

hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5

From the choices, the only one that is consistent with this is C

i.e choice C:

5y + x = 25

5y = -x + 25

y = -(1/5) x + 5 ===> gradient of -1/5

Is 8/10 greater than .75

Answers

Yes it is. If you convert it to a decimal it will be .8 or .80 (Same thing)

As said 8/10 is greater than .75 because all you have to do is 8 times 10 which equals to .80.

I need to turn this in by tomorrow please help me.

Answers

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A paper plate has a diameter of 9 inches.what is there circumference of them plate?use 22/7 for pie

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3 1/7 because it is a mixed fraction

Solve linear system using substitution

y=6-2x
7x-y=3

Answers

$\left \{ {{y=6-2x} \atop {7x-y=3}} \right. \n\nsubstitute\ first\ equation\ into\ the\ second\n\n7x-(6-2x)=3\n\n7x-6+2x=3\n\n9x-6=3\ \ \ | add\ 6\n\n9x=9\ \ \ | divide\ by\ 9\n\nx=1\n\ny=6-2*1=6-2=4$