A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of
2 answers:
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Rotation and translation are rigid transformations, they don't change figure sizes. Dilation change figure sizes increasing or decreasing them by scale factor.
First, find AB and A'B' by the formula:
As you can see AB=2A'B'. This means that the segment AB was decreased twice to form segment A'B'. Then the scale factor is 1/2.
Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the meat, there are 3 outcomes, hence
.
- For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula,
.
- For the dessert, there are 4 outcomes, hence
.
Then:
She can choose 180 different meals.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866