Answer:
1. rational number
3. subset
4. repeating decimals
5. additive inverse
6. terminating decimals
Step-by-step explanation:
Answer:
![\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%3Dr%5Ccos%20t%5C%5C%20%5C%5C%20y%3Dr%5Csin%20t%5C%5C%20%5C%5Cz%3Dat%5Cend%7Barray%7D%5Cright.)
Step-by-step explanation:
A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).
The parametrization for the helix is
![\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.,](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%3Dr%5Ccos%20t%5C%5C%20%5C%5C%20y%3Dr%5Csin%20t%5C%5C%20%5C%5Cz%3Dat%5Cend%7Barray%7D%5Cright.%2C)
where
is the radius of the helix,
is the constant, and
is the parameter
Answer:
https://cdn.kutasoftware.com/Worksheets/PreAlg/Reflections%20of%20Shapes.pdf
Step-by-step explanation:
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∠G is the shortest
Step-by-step explanation:
Given is a ΔFGH
FG = 8.7
FH = 4.5
GH = 6.1
The triangle will be formed with three angles
F, G and H
"The side opposite to the largest angle of the triangle is the largest"
Similarly, The side opposite to the shortest angle is the shortest.
Converse of this postulate will be:
The interior angle opposite to the shortest side of the triangle is the smallest.
The triangle formed is attached in the form of a picture.
The angle opposite to FH will be the shortest.
Hence,
∠G is the shortest
Keywords: Angles, triangles
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