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Alex17521 [72]
3 years ago
13

How many different arrangements of 3 letters can be formed if the first letter must be w or k​ (repeats of letters are​ allowed)

?
Mathematics
1 answer:
jekas [21]3 years ago
5 0

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

P=2\times 26\times 26=1352

Therefore total 1352 different arrangements can be formed.

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3 years ago
Read 2 more answers
Please help <br> thank you
Scrat [10]
Question 1:

Use the Pythagorean theorem.

If c^2\ \textless \ a^2+b^2, then the angle is acute.
If c^2=a^2+b^2, then the angle is right.
If c^2\ \textgreater \ a^2+b^2, then the angle is obtuse.

a=18
b=80
c=81

c^2=6561
a^2+b^2=324+6400=6724

\boxed {c^2\ \textless \ a^2+b^2}

Thus, the angle is acute.

Question 2:

Take the square root of the area to get the side length.

\sqrt{200} = \sqrt{100*2} =10 \sqrt{2}

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.

10 \sqrt{2} *  \sqrt{2}
=20

Your answer is 20 m. Hope this helps! :)
7 0
4 years ago
If A2 + B2 = A2 + X2, then Bequals
Softa [21]

Answer:

B = ±X

Step-by-step explanation:

A^2 + B^2 = A^2 + X^2

Subtract A^2 from each side

A^2-A^2 + B^2 = A^2-A^2 + X^2

B^2 = X^2

Take the square root of each side

sqrt(B^2) = ±sqrt(X^2)

B = ±X

6 0
3 years ago
Read 2 more answers
What is the square root of -1<br>-i<br>i<br>-1<br>1​
Serhud [2]

Answer:

i

Step-by-step explanation:

√-1 is always going to be imaginary i

That is a math rule needed to memorize.

5 0
3 years ago
Find area and perimeter of the rectangle or square ​
Radda [10]

Answer:

Area:702

perimeter: 114

Step-by-step explanation:

24x27=648

6x9=54

648+54=702

27+24+18+6+9+30=114

4 0
2 years ago
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