Wyoming is an approximately square-shaped state. The area of Wyoming is 97,818 square miles. To the nearest mile, how long is on
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Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>
<span>the result of which is </span>
<span>
</span>
<span>We calculate </span>
<span> the result of which is </span>
<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
, and the result is 
.
<span>We calculate </span>
<span> the result of which is</span>
<span>.
</span>
Therefore,
The First step is to line up the numbers.
<span>We calculate </span>
</span>
<span>We calculate </span>
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
<span>We calculate </span>
</span>
Therefore,
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared