Find the measure of a central angle of a regular polygon with the given number of sides. Round answers to the nearest tenth of a degree, if necessary. 10 sides.

After reading the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side, Ken reasons that the theorem would mean the same if it were written, "The sum of the lengths of any two sides of a triangle cannot be less than the length of the third side." Is Ken correct? Explain.

Suppose the top of one of the columns along the Giant's Causeway is in the shape of a regular hexagon with a diameter of 18 inches. What is its apothem?

Find the measure of a central angle of a regular polygon with 8 sides.

Let ƒ(x) be the function that gives the cost, in cents, to mail a first-class package that weighs x ounces. In August of 2009, the cost was $1.22 for a package that weighed up to 1 ounce, plus 17 cents for each additional ounce or portion thereof (up to 13 ounces). (Source: United States Postal Service.) Sketch a graph of ƒ(x).

Find the indicated measure. About 650,000 people live in a region with a 6-mile radius. Find the population density in people per square mile.

What is chemistry?

Find the indicated measure. About 210,000 people live in a region with a 12-mile radius. Find the population density in people per square mile.

Each regular polygon has radii and apothem as shown. Find the measure of each numbered angle..

Tell whether the difference between the two numbers is always, sometimes, or never positive. Explain your reasoning. two negative fractions

use the Remainder Theorem and synthetic division to find each function value. Verify your answers using another method. f(x) = 4x^4 - 16x^3 + 7x^2 + 20, f(1)

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.

$$\log _ { b } x ^ { 3 }$$

Students played a game in which they chose two angle measures of a triangle and then determined the third angle measure. What must be true about the two angle measures the students choose?

Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(z>c)=0.0643, find c.