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
#SPJ1
Answer:



Step-by-step explanation:
Given

Required
Determine: 
Solving for
, we have:
--- angle on a straight line
So, we have:



To solve for
, we have:

--- Vertically opposite angles
So:


To find (f+g)(x), add the equations and simplify by combining like terms.
(x/2)-2+2x^2+x-3
2x^2+ (x/2) +x -5
2x^2 + (1/2)x+x -5
2x^2+ (3/2)x -5
Final answer: C
Remember that (x/2) is the same as (1/2)x. They both represent half of x.
The slope of the equation is 7 hope this helps you