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.

Cost =

Respuesta :

Answer:

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Step-by-step explanation:

By pythagorean theorum we calculate the height:

[tex]\sqrt{5^2-1^2}[/tex]

=[tex]\sqrt{24}[/tex] = height of triangle

area of triangle = base * height

area = [tex]2*\sqrt{24}[/tex]

There are two triangles so:

[tex]2*2*\sqrt{24}=4\sqrt{24}[/tex]

Multiply this by 13.25 to get total cost:

=$259.65

Answer:

$ 129.82 because it is to the nearest cent