blazecorn12
contestada

The diameter of a small gear is 16 cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameter of the larger gear? (Round to the nearest centimeter)

Respuesta :

let 'x' represent the diameter of the larger gear


2.5 + (1/4)x = 16


x = 54 cm


dexteright02
Data:

[tex]d = 16cm[/tex]
[tex]d = 2.5* \frac{1}{4} D[/tex]

Solving:
Substitute

[tex]d = 2.5* \frac{1}{4} D[/tex]
[tex]16 = \frac{2.5D}{4} [/tex]
[tex]16*4 = 2.5D[/tex]
[tex]64 = 2.5D[/tex]
[tex]2.5D = 64[/tex]
[tex]D = \frac{64}{2.5} [/tex]
[tex]\boxed{D=25.6cm}[/tex]

Otras preguntas