A zip line is constructed across a valley, as shown in the diagram. What is the width w of the valley?

Team A has probability 2/3 of winning whenever it plays If A plays 4 games, find the probability that A win

a. exactly 2 games b. atleast 1 game c. more than half of the game

Why are governments an important feature of civilizations?

Briefly explain the importance of each of the following to early river valley civilizations from 3500–450 B.C. 3.polytheism

Write a paragraph analyzing the influence of human and physical geographic factors on the development of river valley civilizations. How did farmers make their work easier and more productive? Consider the effects of silt from the rivers. What did farmers do to control damages from potential flooding?

Use a calculator to find the trigonometric ratio. Round your answer to four decimal places. cos 108°

On a separate sheet of paper, answer the questions below. Make sure you read carefully and answer all parts of the questions. How did human geographic factors, such as the use of fire and metal-bearing rocks, influence tool and weapon making in the river valley civilizations?

determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. Then solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. A = 24°, a = 4, b = 18

Compare President Taft’s record as a progressive to President Roosevelt’s achievements. How were the two men similar? Where did they differ?

Let ∠D be and acute angle. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree. cos D = 0.64

Write the expression in terms of cosine. sin 64°

Solve ΔABC. Round decimal answers to the nearest tenth. m∠B = 25°, a = 8, c = 3.

Solve ΔABC. Round decimal answers to the nearest tenth. a = 10, b = 3, c = 12

In order to unload clay easily, the body of a dump truck must be elevated to at least 45°. The body of a dump truck that is 14 ft. long has been raised 8 ft. Will the clay pour out easily? Explain your reasoning.