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nataly862011 [7]
3 years ago
11

How can you isolate the variable in the inequality 3b< -99

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

b = -33, -34, -35, -36, -37, etc...

Step-by-step explanation:

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Step-by-step explanation:

\frac{2a}{a + b - c}  =  \frac{2b}{b + c - a}  =  \frac{2c}{a + c - b}  = k \\  \\ by \: theorem \: on \: equal \: ratios \\   \\ \frac{2a + 2b + 2c}{a + b - c + b + c - a + a + c - b}  = k \\  \\  \frac{2(a + b + c)}{a + b + c}  = k \\ \\   \therefore \: k = 2

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A field is 3645 feet long.<br><br> What is the length of the field in yards?
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2 years ago
A right cylinder has a radius of r inches and height of 2r inches.
Bess [88]

Answer:

the volume is 6.28r^{3}in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

Given data

Volume v =  ?

Radius r =  r in

Height h=   2r in

We are expected to solve for the volume of a cylinder, given the above data we can substitute it in the formula for volume of a cylinder to obtain our result

we know that the expression for the volume of a cylinder is

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3 years ago
A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
Zarrin [17]

Answer:

Note:  The expression "h =300- pi r /pi r" would equate to 299, as written.  I find h = (300 - πr^{2} )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius.  That consists of top and bottom disks, each with an area of πr^{2}, for a total of 2πr^{2}.  The side is a  continous sheet that has an area of 2πrh, where h is the height.  2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2πr^{2} + 2πrh.

2πr^{2} + 2πrh = 600

πr^{2} + πrh = 300

πrh = 300 - πr^{2}

h = (300 - πr^{2} )/πr

7 0
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