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3 years ago

Find the circumference of a circle with a radius of 6 inches. Round your answer to the nearest hundredth

Mathematics

1 answer:

Marrrta [24]3 years ago

4 0

Answer: 37.70 inches

Step-by-step explanation:

Forumla for circumference: C = 2πr

C = 2π(6)

C = 12π

C= 37.6991118431

C = 37.70 (rounded)

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3 years ago

What is the solution to the following system? 3x+3y=10<br> -9x-9y=-30

Degger [83]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We have the equations,

1. 3x+3y=10

2. -9x-9y= -30

Now, if we multiply equation 1 with -3, we will obtain equation 2.

i.e. -3×(3x+3y)= -3×10

i.e. -9x-9= -30

So, we see that both the equations are same.

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Use Gauss's approach to find the following sums (do not use formulas). 1+3+5+7+...999

muminat

$S=1+3+5+\cdots+995+997+999$
$S=999+997+995+\cdots+5+3+1$
$\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)$

$2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}$

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

$2S=500\times1000=500000$
$\implies S=250000$

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4 years ago