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ehidna [41]
2 years ago
8

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 co

mpass? round to the nearest cent. cost = $
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
8 0

The cost to make this part of the compass will be $259.65.

<h3>What is the Pythagorean theorem?</h3>
  • 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:

brainly.com/question/654982


#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.

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