A set of data with 100 observations has a mean of 267. There are six outliers in the data set, which have a mean of 688. If the
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Answer:
Option A and C have rotational symmetry.
Step-by-step explanation:
The graph of odd functions have rotational symmetry about its origin.
Here the first graph is a graph of f(x)= which is an odd function bearing an exponent of 3.
A function is "odd" when we plug in any negative value in then it gives negative of
.
And we also know that when a graph is mirroring about the y-axis then it is an even functions.
For even functions we have reflection symmetry rather than rotational symmetry.
The second graph is a graph of which is an even function as we can see that its graph is mirroring about the y-axis.
The third graph is a graph of an ellipse which is possessing rotational symmetry.
The order of symmetry of an ellipse is generally 2.
Order of symmetry:
The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.
So graph A and C have rotational symmetry.
Answer:
21 ft
Step-by-step explanation:
We are given that the support post is 10 ft tall.
Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.
By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
So, by the previous Theorem, we get:
We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is ft.