The exterior angles of a regular <em>n</em>-gon add up to 360º; here <em>n</em> = 9, so each exterior angle has measure (360/9)º = 40º.
Corresponding interior angles are supplementary to exterior angles (they add to 180º), so each interior angle has measure (180 - 40)º = 140º.
Bisect this angle by connecting any given vertex to the center of the nonagon. These connections split up the nonagon into 9 congruent isosceles triangles, each of which have base angles of 70º.
Split each triangle in half to make a total of 18 70º-20º-90º triangles with height <em>h</em> and base <em>b</em>. Then
sin70º = <em>h</em>/7 ==> <em>h</em> = 6.578
sin20º = <em>b</em>/7 ==> <em>b</em> = 2.394
and each right triangle has an area of approximately 1/2 <em>b</em> <em>h</em> = 7.874.
Multiply this by 18 to get the area of the nonagon: 141.7.
If the price is $991.25 and the value of the bond is $1,000, the bond is listed at:
= .99125 or
99.125 %
The surface of a polyhedron can be found by using the following equation:<span>1. Draw a net of the polyhedron.
</span><span>2. Calculate the area of each face.<span>
</span></span><span><span>3. Add up the area of all the faces.</span></span>
A. A Parsec
A parsec is a unit of distance used to measure huge distances (as in solar system measurements)
Answer:
Therefore the answer is 20.
Step-by-step explanation:
We know that
class interval = range / number of classes
But here number of classes is not given , so we use the formula
class interval = range / ( 1+ 3.322 log N)
where , range =maximum - minimum = 220-100 = 120
N= number of observations = 50
class interval = 120 / ( 1+ 3.322 * log 50) = 18.06
Rounding up to a convinient number
Thus , class intervai = 20
Therefore the answer is 20.
