Respuesta :

The height of the real Stanley cup will be 89.65 cm.

Step-by-step explanation:

Step 1:

The replica of the Stanley cup is on a 2: 11 scale. The replica is the 2 of the ratio while the real Stanley cup is the 11 on the ratio.

To determine how much bigger than the replica the real Stanley cup is we divide the ratio, [tex]\frac{11}{2} = 5.5.[/tex]

So the real Stanley cup is 5.5 times larger than the replica. To determine the height of the real cup we multiply the height of the replica by 5.5.

Step 2:

To determine the height of the real cup, we must determine the height of the replica.

The height of the replica [tex]= 3.5 + 2.9 + 1.5 + 8.4 = 16.3.[/tex]

So the height of the replica is 16.3 cm.

The height of the real cup [tex]= 5.5(16.3) = 89.65.[/tex]

The height of the real Stanley cup will be 89.65 cm.

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