Answer:
C
Step-by-step explanation:
A circle is a geometric object that has symmetry about the vertical and horizontal lines through its center. When the circle is a unit circle (of radius 1) centered on the origin of the x-y plane, points in the first quadrant can be reflected across the x- or y- axes (or both) to give points in the other quadrants.
That is, if the terminal ray of an angle intersects the unit circle in the first quadrant, the point of intersection reflected across the y-axis will give an angle whose measure is the original angle subtracted from the measure of a half-circle. Since the measure of a half-circle is π radians, the reflection of the angle π/6 radians will be the angle π-π/6 = 5π/6 radians.
Reflecting 1st-quadrant angles across the origin into the third quadrant adds π radians to their measure. Reflecting them across the x-axis into the 4th quadrant gives an angle whose measure is 2π radians minus the measure of the original angle.
Let Brian's steps have a measure of 1, and Richard's steps have a measure of k. Then after each walks 5 steps away from the other, their distance apart is
... 5 + 5k
We are told that distance is equal to 9 of Richard's steps, so is equal to 9k.
... 5 + 5k = 9k
... 5 = 4k . . . . . . . subtract 5k
... 5/4 = k . . . . . . divide by 4
Richard's steps are 5/4 the size of Brian's steps. The appropriate selection is
... b) 5/4
First you need to set up your decimal as a fraction
45 9
---- divided by 5 ------
100 20
9/20 is your answer
The product below is equivalent when x > 0 is <u>1/9</u>
<h3>Resolution - Explanation</h3>
Square root is a real number x multiplied by itself - which results in a perfect value, where it is possible to calculate the real proof (which is the square root).
Given the expression,
, first step: we will calculate the root of the numerator and denominator of this fraction:
<u />
<u />


Step two: rearranging the expression and canceling the common factors x, we will have,:


Therefore, the final answer to this multiplication will be 1/9.