Is 24/40=4/7 a true proportion? justify your answer

A proportion

is nothing but a comparison between two fractions: we can rewrite it as

So, we can multiply both sides by the two denominators b and d to get

In other words, a proportion is true if the product of the inner terms is the same as the product of the outer terms.

In your case, we have the check is the following:

which is clearly false. So, 24:40 = 4:7 is not a true proportion. In fact, if we convert fractions into numbers, we have

which makes even more clear that the proportion doesn't hold.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

594 square inches

step-by-step explanation:

vote !