Answer:
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A $\textit{palindrome}$ is a positive integer which reads the same forward and backward, like $12321$ or $4884$. How many $4$-di
1 answer:
There are 90 4-digit palindromes
<h3>What are palindromes?</h3>Palindromes are numbers whose reverse is the same as the original number
<h3>How to determine the count of 4-digit palindromes</h3>Since the digit is 4, then
- The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
- The second digit can be any of 0 - 9 (i.e. 10 digits)
- The third digit must be the second digit (i.e. 1 digit)
- The last digit must be the first digit (i.e. 1 digit)
So, the total number of digits is:
Evaluate the product
Hence, there are 90 4-digit palindromes.
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Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is time the length of any of its legs. If the hypotenuse has a measure of
, then the legs of the triangle have a measure of
.
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
(1)
Area
(2)
Where is the side length of the square.
If we know that , then the perimeter and area of the square are, respectively:
The perimeter and area of the square are 56 units and 196 square units, respectively.