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:
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Step-by-step explanation:
Answer:
A circle of radius = 7 or diameter = 14 or circumference = 43.98 meters has an area of: 0.0001539 square kilometers (km²) 153.9 square meters (m²) 1.539 × 10 6 square centimeters (cm²)
Step-by-step explanation:
can I get branliest please?
So have the sequence:
To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula:
where
is the common ratio
is the current term in the sequence
is the previous term in the sequence
In other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For
and
:
For
and
:
For
and
:
As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is
Ezpeezee:
Since we know the two angle measures equals 145...
(4x+5)+(6x-10)=145
Combine like terms and you get...
10x-5=145
Solve for x...
Add 5 on both sides and you get 150. Then divide by 10 and you get 15.
However, we arent finished yet... We still need to find XMN. The equation for m<XMN= 6x-10. PLUG 15 IN FOR X...
90-10
and that simplifies to 80 degrees.
Any questions?
