on that is 10 yards from a sideline and 5 yards tion that is 45 yards from the same goal line w far was the ball kicked? Side- line 20 0 (10, 5) 10 (40, 45) 20 304

Using the Pythagorean Theorem The Pythagorean Theorem shows the relationship of the lengths of the sides of a right triangle to each other. This equation shows that the sum of the squares of the two shorter sides (the legs) equals the square of the third side (the hypotenuse). The hypotenuse is always opposite the right angle. Use this formula to find any one side when you know the other two. The length of the hypotenuse of a right triangle is 5 feet. The length of one leg is 3 feet. What is the length of the other leg? Square the sides given. Substitute. Subtract and find the square root. C = 5' a? + b2 = c2 32 + b2 = 52 9 - 9 + b2 = 25 – 9 b2 = 16 b = V16 = 4 9 + b2 = 25 a = 3' Find the unknown side in each right triangle. 2. A 20-foot ladder is placed against the side of a house. The bottom of the ladder is 12 feet from the house. How high up will the ladder reach on the wall? 1. The length of the hypotenuse is 13 inches. The length of one leg is 5 inches. What is the length of the…

Length of a rod: Engineers on the Bay Bridge are measuring tower rods to find out if any rods have been corroded from salt water. There are rods on the east and west sides of the bridge span. One engineer plans to measure the length of an eastern rod 25 times and then calculate the average of the 25 measurements to estimate the true length of the eastern rod. A different engineer plans to measure the length of a western rod 20 times and then calculate the average of the 20 measurements to estimate the true length of the western rod. Suppose the engineer who collected 25 measurements for the eastern rod has a mean length of 23.9 feet with a standard deviation of 0.5 feet. The critical T-value for a 90% (one-sample) confidence interval with df = 24 is T=1.71. Which of the following is the resulting 90% confidence interval?  (23.73 , 24.07)  (23.05, 24.76)  (23.80, 24.00)

Solve the problem. Express your answer in simplest form. Alan walked mi to the store and then another mi to his friend's house. How far did he walk? O O mi mi mi mi