Question

If the metal used to construct the spinner costs $13.25 per square centimeter, how much will it cost to make this part of the compass? round to the nearest cent. cost =$

The cost to make this part of the compass will be $259.65. ### What is the Pythagorean theorem? • The Pythagorean theorem, also known as Pythagoras’ theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. • It states that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides. • Formula: c = √a² + b². To find how much will it cost to make this part of the compass: By Pythagorean theorem we calculate the height: • √5² – 1² Height of triangle = √24 • Area of triangle = base × height. • Area = 2 × √24 There are two triangles so: • 2 × 2 × √24 = 4√24 Multiply this by 13.25 to get the total cost: • =$259.65
Therefore, the cost to make this part of the compass will be $259.65. Know more about the Pythagorean theorem here: #SPJ The correct question is given below: The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters. If the metal used to construct the spinner costs$13.25 per square centimeter, how much will it cost to make this part of the compass? Round to the nearest cent.