A sector is a <u>part</u> of a <u>circle</u> that is formed by two<em> radii,</em> and an <em>arc</em>. So that the length of the <em>safety railing</em> required is 31.4 feet.
A sector is a <em>part </em>of a <u>circle</u> that is formed by two <u>radii</u>, and an <u>arc</u>, thus forming a <em>central</em> angle.
Thus the required <em>length</em> of safety railing can be considered as the <u>arc</u> of the<em> sector. </em>
So that;
<u>length</u> of an <u>arc</u> = (θ /
) * 2
r
where θ is the <u>measure</u> of the <em>central angle</em> of the sector, and r is the <u>radius</u> of the sector.
From the given question, θ = 45°, and r = 40 feet.
So that,
<u>length</u> of the<em> safety railing </em>= (45° /
) * 2 * 3.14 * 40
= 0.125 * 2* 3.14* 40
<u>length</u> of <em>safety railing</em> = 31.4
Therefore, the <u>length</u> of the <em>safety railing</em> required is 31.4 feet.
For more clarifications on the length of an arc, visit: brainly.com/question/2005046
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Answer:
She factored out a 4 from the equation.
Step-by-step explanation:
So our original equation is 12x + 4 = 20x - 12
Anika's first steep of her equation is 3x + 1 = 5x - 3
We know that the terms were not moved around, so the first step was likely multiplication or division.
We also see that a 4 has been factored out of the entire equation, like this:
12x + 4 = 20x - 12
4(3x + 4) = 4(5x - 3)
And these 4's cancel each other out.
So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.
1:2=5:10, hope this helps