A rectangle with an area of 47 m² is dilated by a factor of 7. What is the area of the dilated rectangle? Do not leave your answ
2 answers:
Answer:
The area of the dilated rectangle is
Step-by-step explanation:
we know that
If two figures are similar, then the scale factor squared is equal to the ratio of its areas
Let
z------> the scale factor
x-----> the area of dilated rectangle
y-----> the area of the original rectangle
so
In this problem we have
substitute and solve for x
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Using the fundamental counting theorem, we have that:
- 648 different area codes are possible with this rule.
- There are 6,480,000,000 possible 10-digit phone numbers.
- The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.
For the area code:
- 8 options for the first digit.
- 9 options for the second and third.
Thus:
648 different area codes are possible with this rule.
For the number of 10-digit phone numbers:
- 7 digits, each with 10 options.
- 648 different area codes.
Then
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
A similar problem is given at brainly.com/question/24067651