1. Find the area of a regular 15 sided polygon whose vertices are 15 equally spaced points on a
circle of radius 3?
Area=
2. Find the area of a regular dodecogon with sides length S. Use the fact that area of the
dodecagon with side S sqrt(2-sqrt(3)) equals.
Solution
A 15 sided polygon will have internal angle= 360/15= 24 deg
Each chord forms a side of the polygon. The side length= 2 sin 12
There are 15 such triangles in the circle
Hence total area= 15 x 0.5 x 2 x 3 xsin 12 x 3 x cos 12= 27.45
2. Dodecagon has 20 sides.
Internal angle= 360/20= 18 deg
We break it into 20 triangles
Base=S
Perpendicular= S/2 cot 9
Area of one triangle= 0.5 x S x 0.5 x S x cot 9
= 1.582
Total area= 20 x area of one= 31.64.
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
1. Find the critical z values. Assume that the normal distribution a.pdf
1. 1. Find the critical z values. Assume that the normal distribution applies
Two- tailed test; a= 0.07
z=
2. Examine the given statement than express the null hypothesis H0 and the alternative
hypothesis H1 in symbolic form.
The mean weight of women who won a beauty pageant is equal to 118 ib
Solution
1. Z critical = -1.81, +1.81
2. Null hypothesis Ho: Mean height of women
