Pi rounded to a whole number would equal three. Circumference equals 2pi*r. The radius in this case is half of the diameter, so 4.5 cm. 2 times pi, or three equals 6 times 4.5 is 27
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the measure of angle a
we know that
The formula to calculate the measure of the interior angle of a regular polygon is equal to

where
n is the number of sides of the regular polygon
For the regular pentagon in the figure
n=5
substitute in the formula



Part 2) Find the measure of angle b
Remember that a regular polygon has equal sides and equal interior angles
so
In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon
therefore
The triangle in white of the figure is an isosceles triangle
The measure of the vertex angle of the isosceles triangle is equal to

Remember that
The sum of the interior angles of triangle must be equal to 180 degrees
so

solve for b



<span><span>-2-2 + 2 = 0(-2, 0)</span><span>-1-1 + 2 = 1(-1, 1)</span><span>00 + 2 = 2(0, 2)</span><span>11 + 2 = 3(1, 3)</span><span>22 + 2 = 4<span>(2, 4)</span></span></span>
Answer:
The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).
Step-by-step explanation:
A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.
The (1 - <em>α</em>) % confidence interval for the population proportion (<em>p</em>) is given by:

The information provided is:

*Use a <em>z</em>-table for the critical value.
Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).
Answer:
B. Inscribed equilateral triangle.
Step-by-step explanation:
An equilateral triangle is a type of triangle that has all sides to have the same length.
An inscribed figure or shape is one which has been constructed within the boundaries of another figure or shape.
In the given question, the markings is construction of an inscribed equilateral triangle. This procedure of the construction after completion, generate the triangle as shown in the construction attached to this answer.