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2 years ago

A circle has a radius of 3. An arc in this circle has a central angle of 20°

Mathematics

1 answer:

Alla [95]2 years ago

4 0

Answer:

The length of the arc is 1.0467

Step-by-step explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

1/18 * 18.84 = 1.0467

The length of the arc is 1.0467

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Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

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Answer:

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Step-by-step explanation

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barxatty [35]

(3x^5y)^2=

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9*4=36

x^10*x^3=x^13

y^2*y^5=y^7

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Answer:

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