Answer:
B) 68.91 inches
Step-by-step explanation:
To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.
We are also given that the diameter is 28 inches.
Since arc length and area are proportional to the central angle, we can create the following equality:
angle of VYX/360 = arc length of VYX/circumference
We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.
282/360 * 28*pi = arc length of VYX
Thus, the length of VYX = 68.90559887 inches
Thus, the correct answer is B, 68.91 in.
It will take 764664.6875 days to empty the water
<h3>How to determine the time to empty?</h3>
The given parameters are:
- Volume = 1 cubic mile
- Rate = 1000 gallons per minutes
The time is calculated as:
Time = Volume/Rate
So, we have:
Time = 1 cubic mile ÷ 1000 gallons per minute
Convert gallons to cubic mile
Time = 1 cubic mile ÷ (9.0817e-13 * 1000) cubic mile per minute
Divide
Time = 1.10111715 × 10^9 minute
Convert to days
Time = 764664.6875 days
Hence, it will take 764664.6875 days to empty the water
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Convex Polygon:
A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.
Lets simplify the given problem,
If we try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:
1070 =[n - 2] x 180, where n = number of sides

n = 7.94 number of sides. Since this is not a whole number, will simply round it up to 8.
Hence the number of sides is 8
Learn more about Convex Polygon on:
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Answer:
y=mx+b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Distance between 2 points

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.
Length of RS
![= \sqrt{ {[ - 1 -( - 4)] }^{2} + (9 - 1)^{2} } \\ = \sqrt{( - 1 + 4)^{2} + 8^{2} } \\ = \sqrt{ {3}^{2} + 64 } \\ = \sqrt{73} \\ = 8.54 \: (3 \: s.f.)](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%5B%20-%201%20-%28%20-%204%29%5D%20%7D%5E%7B2%7D%20%20%2B%20%289%20-%201%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%28%20-%201%20%2B%204%29%5E%7B2%7D%20%20%2B%208%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%20%2B%2064%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B73%7D%20%20%5C%5C%20%3D%208.54%20%5C%3A%20%283%20%5C%3A%20s.f.%29)
Thus, RS is about 8.5 units.