Hello!
Amplitude is the maximum displacement on the graph of a function.
Period is the displacement of x at which the graph of a function begins to repeat.
We can find the period of a circular function by using the formula: 
.
The amplitude is 6 because it causes the displacement of the graph to change. Therefore, the domain becomes -6 ≥ x ≥ 6.
To find the period, we use the formula , and we substitute the values into the equation. The value B, is 1/3.
This can be simplified into 6π.
Since the periodicity is 6π, the graph hits the x-axis at intervals of 3π and -3π, and the graph also hits the x-axis at the origin.
Therefore, the amplitude of the function is 6, the period is 6π, and the function hits the x-axis during intervals of 3π.
Answer: A
Just substitute a, b and c at the quadratic formula to get the answer...
Answer:
HEXAGON:
Using the same methods as for hexagons to the right (I'll let you do the pictures)...
To find the sum of the interior angles of a dodecagon, divide it up into triangles... There are ten triangles... Because the sum of the angles of each triangle is 180 degrees... We get
So, the sum of the interior angles of a dodecagon is 1800 degrees.
Regular Dodecagons:The properties of regular dodecagons:
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)... And there are twelve angles...
So, the measure of the interior angle of a regular dodecagon is 150 degrees.
The measure of the central angles of a regular dodecagon:
To find the measure of the central angle of a regular dodecagon, make a circle in the middle (I'll let you do the picture)... A circle is 360 degrees around... Divide that by twelve angles...
So, the measure of the central angle of a regular dodecagon is 30 degrees.
Answer:
1st markdown = $324
2nd markdown = $259.20
Step-by-step explanation:
current price = 360
1st 6 months = 10% down
= 90% of 360
= <u>324</u>
2nd 6 month = 20% down of first 6 month
= 20% down of 324
= 80% of 324
= <u>259.20</u>
Answer:
15% markdown
Step-by-step explanation:
To find the percent markdown
Take the original price minus the new price
975-828.75
146.25
Divide by the original price
146.25/975
.15
Change to percent form
15% markdown
