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3 years ago

Find the perimeter of the quadrant. Use 3.143.14 as an approximation for \piπ.

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer: 19.625 cm (Formula is 2πr)

Steps: 1.) 3.14 * 12.5 = 39.25

2.) 39.25 * 2 = 78.5

3.) 78.5 / 4 = 19.625 (using the 4 because the area is a fourth of a whole circle)

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3 years ago

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3 years ago

What is the reason for each strip on the solution of the equation?

Pani-rosa [81]

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

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Given:

$2x = -4(x-3)$

Applying Distributive property a(b+c)=ab+ac

$2x=-4x+12$

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Adding +4x on both sides

$2x+4x=-4x+12+4x\\6x=12$

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Divide both sides by 6:

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Keywords: Solving Equations

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2 years ago

What is the domain of the function f(x) = x+1 / x2-6x+8

Ostrovityanka [42]

For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.

We have:

$f (x) = \frac {x + 1} {x ^ 2-6x + 8}$

The given function is not defined when the denominator is equal to zero. That is to say:

$x ^ 2-6x + 8 = 0$

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

$-4-2 = -6\\-4 * -2 = 8$

Thus, the factored polynomial is:

$(x-4) (x-2) = 0$

That is to say:

$x_ {1} = 4\\x_ {2} = 2$

Makes the denominator of the function 0.

Then the domain is given by:

All real numbers, except 2 and 4.

Answer:

x |x≠2,4

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3 years ago

Find the perimeter of the quadrant. ​Use 3.143.14 as an approximation for \piπ. ​ ​

Find the perimeter of the quadrant. Use 3.143.14 as an approximation for \piπ.