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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<u><em>Answer:</em></u>
y + 2 = 1 (x+3) ............> y + 2 = x + 3
<u><em>Explanation:</em></u>
<u>The general form of the equation of a line in point-slope form is:</u>
y - y₁ = m (x - x₁)
<u>where:</u>
m is the slope of the line
(x₁ , y₁) is a point that belongs to the line
<u>The general form of the equation of a line in slope-intercept form is:</u>
y = mx + c
<u>where:</u>
m is the slope
c is the y-intercept
<u>1- Getting the point:</u>
We are already given the point (-3 , -2) so we'll directly use it
<u>2- Getting the slope</u>
<u>We are given that our line is parallel to the line:</u>
y = 1x - 7
We know that parallel lines have equal slopes
<u>This means that:</u>
slope of the line we want = 1
<u>3- Getting the equation:</u>
Substitute with the point and slope in the above form to get the equation
<u>This is done as follows:</u>
y - y₁ = m (x - x₁)
y - (-2) = 1 (x - (-3))
y + 2 = 1 (x + 3)
y + 2 = x + 3
Hope this helps :)
Answer:
is it 7
Step-by-step explanation:
Divide the top and bottom by 3 (since it is the GCF of 3 and 9) to reduce the fraction
3/3=1
9/3=3
answer: 1/3
Answer:
20 feet
Step-by-step explanation:
Volume = length x width x height
1200 = 10 x 6 x h
1200 = 60h
h = 1200/60
height = 20