The dimensions of a nicotine transdermal patch system are 4.7 cm by 4.8 cm. Express these dimensions in corresponding inches if 1 inch is equivalent to 25.4 mm.

Respuesta :

Answer:

1.85 inches by 1.89 inches.

Step-by-step explanation:

We have been given that the dimensions of a nicotine transdermal patch system are 4.7 cm by 4.8 cm.

First of all, we will convert given dimensions into mm.

1 cm equals 10 mm.

4.7 cm equals 47 mm.

4.8 cm equals 48 mm.

We are told that 1 inch is equivalent to 25.4 mm, so to find new dimensions, we will divide each dimension by 25.4 as:

[tex]\frac{47\text{ mm}}{\frac{25.4\text{ mm}}{\text{inch}}}=\frac{47\text{ mm}}{25.4}\times \frac{\text{ inch}}{\text{mm}}=1.85039\text{ inch}\approx 1.85\text{ inch}[/tex]

[tex]\frac{48\text{ mm}}{\frac{25.4\text{ mm}}{\text{inch}}}=\frac{48\text{ mm}}{25.4}\times \frac{\text{ inch}}{\text{mm}}=1.8897\text{ inch}\approx 1.89\text{ inch}[/tex]

Therefore, the corresponding dimensions would be 1.85 inches by 1.89 inches.