3 years ago

The variables x and y are directly proportional , and y=4 when x=3

Mathematics

1 answer:

zavuch27 [327]3 years ago

4 0

Answer:

4/3

Step-by-step explanation:

y = kx

4 = k(3)

4/3 = k3/3

4/3 = k

The constant proportion is 4/3.

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In this diagram, BAC~ EDF. if the area of BAC = 6 in, what is the area of EDF.

gulaghasi [49]

Answer:

2.7 square inch

Step-by-step explanation:

$\triangle BAC \sim \triangle EDF... (Given) \\$

$\therefore$ By area of similar triangle theorem:

$\frac{A(\triangle BAC)}{A(\triangle EDF)} = \frac{BC^2}{EF^2} \\\\\therefore \frac{6}{A(\triangle EDF)} = \frac{3^2}{2^2} \\\\\therefore \frac{6}{A(\triangle EDF)} = \frac{9}{4} \\\\\therefore A(\triangle EDF) = \frac{4\times 6}{9} \\\\\therefore A(\triangle EDF) = \frac{24}{9} \\\\\therefore A(\triangle EDF) = 2.6667\\\\\huge \purple {\boxed {\therefore A(\triangle EDF) = 2.7\: in^2}}$