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 = $

Answers

  1. 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.

    Reply

Leave a Comment