How many different arrangements of 3 letters can be formed if the first letter must be w or k (repeats of letters are allowed)
1 answer:
Answer:
Total 1352 different arrangements can be formed.
Step-by-step explanation:
Total number of letters is 26 (a to z).
We need to find the arrangements of 3 letters
It is given that the first letter must be w or k and repetition of letters are allowed.
Since first letter can be w or k, therefore the possibilities for first letter is 2.
Repetition of letters are allowed and any letter can be formed in place of second and third letter.
So, the possibilities for second letter is 26 and possibilities for third letter is 26.
Total possibilities of arrangements of 3 letters is
Therefore total 1352 different arrangements can be formed.
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Question 1:
Use the Pythagorean theorem.
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If
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If
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Thus, the angle is acute.
Question 2:
Take the square root of the area to get the side length.
That's the side length. Since we have a 45-45-90 right triangle if we divide the square across its diagonal, we just multiply the side length by the square root of 2 in order to get the diagonal length.
Your answer is 20 m. Hope this helps! :)
Use the Pythagorean theorem.
If
If
If
Thus, the angle is acute.
Question 2:
Take the square root of the area to get the side length.
That's the side length. Since we have a 45-45-90 right triangle if we divide the square across its diagonal, we just multiply the side length by the square root of 2 in order to get the diagonal length.
Your answer is 20 m. Hope this helps! :)