Respuesta :
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:
https://brainly.com/question/654982
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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.