Pythagorean Triples The numbers 3, 4, and 5 are called Pythagorean triples since 32 + 42 = 52. The numbers 5, 12, and 13 are also Pythagorean triples since 52 + 122 = 132. Can you find any other Pythagorean triples? Actually, there is a set of formulas that will generate an infinite number of Pythagorean triples. Research the topic of Pythagorean triples and write a brief report on the subject.
a. with 1 significant figure b. with 2 significant figures c. with 3 significant figures d. with 5 significant figures Question 5 Express 0.0003711 in scientific notation. a. with 1 significant figure b. with 2 significant figures c. with 3 significant figures d. with 4 significant figures Question 6 Perform the calculation with the correct number of significant digits. 22.81 + 2.2457 Question 7 Perform the calculation with the correct number of significant digits. 815.991 x 324.6 Question 8 Perform the calculation with the correct number of significant digits. 3.2215 + 1.67 + 2.3 Question 9 Perform the calculation with the correct number of significant digits.
This is expressed as a^2 + b^2 = c^2.” (Weisstien, 2011) 13 40 Pythagorean triangles are right triangles in which all three sides are integers. A Pythagorean triple is a triple of positive integers a, b and c such that a right triangle exists with legs a, b and c hypotenuse. An example would be: 95 5 5 41 12 5, 12, 13 9, 40, 41 52 + 122 = 132 92 + 402 = 412 25 + 144 = 169 81 + 1600 = 1681 By using the Pythagorean Theorem, you need to find the equivalent for finding positive integers a, b and c satisfying a2 + b2 = c2. The smallest and best-known Pythagorean triple is (a, b, c) = (3, 4, 5). The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle.
The Pythagorean Theorem states that: "The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides." (Morris). The name is Pythagorean triple comes from the Pythagorean theorem, it states that every right triangle has side lengths fulfilling the formula a2 + b2 = c2. The Pythagorean triples describe the three integer side lengths of a right triangle, which is commonly written as (a, b, c), and a good example is (3, 4, 5). The sides of a and b are the legs of a right triangle, and c is the hypotenuse, so the formula is written as a2 + b2=c2, which satisfies what the Pythagorean Triples (Bluman, 2011).
What is the mean of the above values? To calculate the mean add all of the values in the data together and divide by the number of values. 2.0+3.7+4.9+5.0+5.7+6.7+8.5+9.0=45.5/8=5.6875= 5.7 is the mean of the numbers above. What is the mode of the above values? The mode is the value that occurs most often.
The spiral of Theodorus was created using the Pythagorean theorem. The Pythagorean theorem was used because each triangle of the spiral is a right triangle and the Pythagorean theorem is needed to calculate the length of the hypotenuse. The Pythagorean theorem is used in many different ways today besides math class. The Pythagorean theorem is used in architecture and construction, navigation, earthquake location and crime scene investigation. I created my Pythagorean
Which of the following numbers, when rounded off to the nearest thousand, becomes 7 541 000? A 7 530 798 C 7 540 618 ( B 7 531 300 D 7 541 503 5. When 690 203 is broken down according to its digit values, it becomes A 690 000 + 20 + 3 B 690 000 + 200 + 3 C 600 000 + 9 000 + 200 + 3 D 600 000 + 90 000 + 200 + 3 ( 6. Which of the following numbers is the nearest to 1 million? A 989 799 C 1 000 100 ( B 997 899 D 1 100 000 7.
c. Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. Sample mean: 3.3048 Standard deviation: .1320 90 percent confidence interval (taken from text): 1.812 a. X ± z σ√n 3.3048 ± .1320√10 = .0364 3.3048-.0364 = 3.2684 3.2684 to 3.3412 3.3048+.0364 = 3.3412 b. n =( zσE) ^ 2 (1.1812*.1320) / .03 ^2 = 63.57 round to 64
Write assignment statements that perform the following operations with the variables a, b, and c. a) Adds 2 to a and stores the result in b * b=a+2 b) Multiplier b times 4 and stores the result in a * a=b*4 c) Divides a by 3.14 and stores the result in b * b=a/3.14 d) Subtract 8 from b and stores the result in a * a=b-8 4. Assume the variables result, w, x, y, and z are all integers, and that w=5, x=4, y=8, and z=2. What value will be stored in result in each of the following statements? a) Set result = x + y * 12= x + y b) Set result = z + 2 * 4=z * 2 c) Set result = y / x * 2=y / x d) Set result =y – z * b=y – z 5. Write a pseudocode statement that declares the variable cost so it can hold real numbers.
Step 1) Identify the legs and the hypotenuse of the right triangle. | The legs have length '14' and 48 are the legs. The hypotenuse is X. See Picture | The hypotenuse is red in the diagram below: Steps 2 and 3 | Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) | A2 + B2 = C2 142 + 482 = x2 | Step 3) Solve for the unknown | | Problem 2) Use the Pythagorean theorem to calculate the value of X. Round your answer to the nearest tenth.