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3 years ago

The ratio of the_of a circle to its_is approximately 3.14.

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

3 0

Answer:

The ratio of the circumference of a circle to its diameter is approximately 3.14.

ladessa [460]3 years ago

3 0

Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

4 years ago

Suppose $886.20 is listed for $5 less. A third catalog has $886.20 marked down 20% ,which is the better deal?

Ipatiy [6.2K]

Answer:

20% of $886.20 is 177.24 so the better deal would be 20% off

Step-by-step explanation:

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3 years ago

Select the correct answer

bulgar [2K]

The answer is b bc it’s all real numbers since it won’t stop

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3 years ago

I need help and if you can explain how to do all of the work that would be great

drek231 [11]

A because cmon its tuesday

lol no thats not the reason but im very too very sure that this is the answer

6 0

3 years ago

Property taxes are based on an assessed value of $132,000 and the tax rate is 8.5 mills. The property closes on Jun 14. On a bas

defon

Answer:

$132,000 X .0085 = $1,122 / 360 = $3.1166 X 164 = $511.13

One mill is one dollar per $1,000 dollars of assessed value.

In our case 8.5 mills equivalent to 0.0085.

So to get the assessed value for one day

we will get

$132,000 X .0085 = $1,122 / 360 = $3.1166

Now we have the value for one day,

For June 14, we will calculate the days from January 1st to date

total days are 164. i.e. 5*30+14 = 164

Finally, the seller owes

$3.1166 * 164 = 511.13

6 0

3 years ago

The ratio of the___of a circle to its___is approximately 3.14.

The ratio of the_of a circle to its_is approximately 3.14.