The measure of an exterior angle of a regular polygon is given. Find the measure of an interior angle. Then find the number of sides. 18

Solve. The length of a side of the base of a regular square pyramid is 6 in. and the height of the pyramid is 10 in. Find the volume of the pyramid.

Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. $x^{2}+4 x y+y^{2}-3=0$

a) Construct a regular hexagon with sides of length 3 cm. b) Calculate its area, showing your method clearly.

Many traffic experts argue that the most important factor in accidents is not the average speed of cars but the amount of variation. Suppose that the speeds of a sample of 200 cars were taken over a stretch of highway that has seen numerous accidents. Compute the variance and standard deviation of the speeds, and interpret the results.

Predict the Output:

ListNode *p = new ListNode(56.4, new ListNode(31.5));
ListNode *q = p;
while (q->next->next != NULL)
q = q->next;
cout << q->value;

Your pay as a lifeguard is $\$14.50$ an hour for a regular 40-hour week. Your overtime rate is $1\frac{1}{2}$ times your regular hourly rate. During this past week, you earned $\$712.50$ in total pay. How many hours of overtime did you work in that week?

Identify Point of View How did the work of New Deal era artists and writers contribute to our appreciation today of the New Deal?

What would be the output if line $16$ of Listing $12.9$ is replaced by the following line?

throw new Exception("New info from method1");

A card is drawn at random from a regular deck of 52 cards. Find the probability of each event. A spade is drawn.

What is the relationship between the side length and the apothem in each figure? a. a square b. a regular hexagon c. an equilateral triangle

The base of the isosceles triangle is also a side of regular pentagon PENTA. Find the measure of each angle.

Angle PAN

A regular heptagon (7 sides) has perimeter 126 and area A. Express the apothem a of the heptagon algebraically in terms of the area A.

Find the area of each regular polygon with the given apothem a and side length s. decagon, a = 19 m, s = 12.3 m