babatunde draws a drinking glass with a scale of 2 units on his graph paper represents 2.5 cm. the glass is 8 units tall in the drawing what is the height in cm of the actual glass

Respuesta :

2 units = 2.5 cm

8 units = (8/2)*2.5 = 10cm

Answer:

The actual height of the glass is 10 cm.

Step-by-step explanation:

[tex]\because \text{Scale factor}=\frac{\text{Scaled measure}}{\text{Actual measure}}[/tex]

Given,

Actual measure = 2.5 cm and scaled measure = 2.5 cm,  

So, by the above formula,

[tex]\text{Scale factor}=\frac{2.5}{2}=1.25[/tex]

Now, scaled measure = 8,

[tex]\implies 1.25=\frac{8}{\text{actual measure}}[/tex]

[tex]\implies \text{actual measure}= 8\times 1.25 = 10\text{ cm}[/tex]

Hence, the actual height of the glass is 10 cm.