Answer:
Scale factor:
Actual area:
Scale drawing area:
Ratio of areas:
Scale factor 2:
Scale factor :
Scale factor :
Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides
Scale factor :
Step-by-step explanation:
The scale factor is
The actual area is
The scale drawing area is
Ratio of areas:
When the scale factor of the sides was 2, then the value of the ratio of the areas was 4.
When the scale factor of the sides was , then the value of the ratio of the areas was .
When the scale factor of the sides was , then the value of the ratio of the areas was .
Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides.
If the scale factor is , then the ratio of the areas is , based on the observation.
Extra: Proof of observation.
Let the legs of the actual triangle be and . Then the legs of the scale triangle are and , with being the scale factor.
The area of the actual triangle is . The area of the scale triangle is .
The ratio of these areas is , as desired.
A = b*h*0.5
24 = 4*0.5*h
24 = 2*h
h = 12
Height is 12 inches.
Answer:
82% decrease
Step-by-step explanation:
[(900 - 5000)/5000] 100
(-41/50) 100
= - 82%
( ' - ' indicates decrease)
6(x + 2) + 7 =
6x + 12 + 7 =
6x + 19 <==
Plug values into distance formula, step by step shown in picture :)