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.
99/11=9
47x9=423
The answer is 423
I need more context to answer this question.
1 year = 12 months
3 years = 36 moths
Yvette's brother is 36 months old and Fred's is 30 months old. Yvette's brother is 6 moths older than Fred's brother.
Answer:
The estimated sum is ≈10
Step-by-step explanation:
This depends on how your professor wants you to estimate sums. Logically, though, a value of nearly 4 and a value of just over 6 add to about 10. The exact answer would be a bit over 10, at ≈10.14117
