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.
Answer:
<h2><em><u>
2/9 is the answer.</u></em></h2>
Step-by-step explanation:
<em><u>1. First, make an equation.</u></em>
<em><u>Given:</u></em>
8/9 = length of wire
2/3 = length of a part of the wire
E = 8/9-2/3
<em><u>Unknown:</u></em>
Second part of wire
<em><u>2. Make the numbers have equal denominators</u></em>
2/3 * 3/3
= 6/9
<em><u>3. Solve</u></em>
8/9 - 6/9
= 2/9
Hope this helped,
Kavitha
Answer:
Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of the number of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work.
a. What is a good scale to use for the x-axis? Explain your reasoning.
b. What is a good interval to use for the y-axis? Explain your r
Step-by-step explanation:
Answer:
The answer is option d
Since 64 is a perfect cube ³√64 = 4
and the exponents 27 and 125 are also perfect cubes ³√27= 3 and ³√ 125 = 5 respectively.
