All you need to do is plug -5 into the second equation and you see it is near (-5, -8). When plugged into the top, you get (-5, -27/4) which comes out to ABOUT -6.75 for the Y value. The closest is actually a tie. The first option is .8 from the first and .45 from the second leading in a total distance of 1.25. The second, which is the fellow answer, is 1.2 from the first and .05 from the second, leading to 1.25 away.
The third, which is next closest is 1.8 from the first and .55 from the second leading to a distance of over 2 from the optimal, so only the first two are answers.
The approximate length of rail that needs to be replaced is 7.1 ft
<h3>Length of arc</h3>
Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where
- Ф = central angle of rail section = 27° and
- D = diameter of circular pool = 30 ft
<h3>Approximate length of rail</h3>
So, substituting the values of the variables into the equation, we have
L = Ф/360° × πD
L = 27°/360° × π × 30 ft
L = 3/40 × π × 30 ft
L = 3/4 × π × 3 ft
L = 9/4 × π ft
L = 2.25 × π ft
L = 7.07 ft
L ≅ 7.1 ft
So, the approximate length of rail that needs to be replaced is 7.1 ft
Learn more about length of an arc here:
brainly.com/question/8402454
The sum of all of the exterior angles of any regular polygon is 360 (I'm assuming by decagon you mean a regular dodecagon).
Because the total has to be 360, and a decagon has 10 sides, you divide 360 by 10 to get each exterior angle.
360 ÷ 10 = 36, so each exterior angle of a decagon is 36 degrees.
Y=MX+B
Y= 2X+50
And we don’t know how long they are getting towed but when we find that out we plug it into X
Answer:
C. 65
Step-by-step explanation:
The table which shows the results of the survey are attached below.
From the table:
- Total Number of non-social media users = 71
- Number of non-social media user aged 28 and up = 46
Therefore, the probability that a non-social media user is an older student aged 28 and up
The probability that a non-social media user is an older student aged 28 and up is 65%.
<u>The correct option is C.
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