<h2>
Answer:</h2>
The total number of different arrangements of 7 letters that are possible if the first letter will be w or k is:
617,831,552
<h2>
Step-by-step explanation:</h2>
The number of different arrangements of 7 letters can be formed if the first letter must be w or k such that the repetition of the letters are allowed are:
2×26×26×26×26×26×26
( Since, at the first place any of the 2 letter out of w or k could come up.
and from the second to seventh place any of the 26 letters of the English alphabet may come up )
Hence, total number of arrangements = 617,831,552
B and C are correct.
A circle has 360°. 2/3 of that circle is given by
2/3(360) = 720/3 = 240°.
Stu takes half of this, so his piece will have 240/2 = 120°.
He splits the remainder of it between his 2 sisters; 240-120 = 120° left; 120/2 = 60° for each sister's piece.
Answer:
A
Step-by-step explanation:
Two Squares
There are 2 squares at the top and bottom. All sides = 3
2* s^2
2 * 3^2
2 * 9
18
Middle Figure.
<u>Triangles</u>
There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.
Base of both triangles = 5 + 5 = 10
The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.
Area = 1/2 * 2 * 10 = 10
But there are 2 of them so the total area is 20
<u>Rectangle</u>
The length of the rectangle = 5 + 5 = 10
The width = 3
Area = 30
Total
Total Area = 2 squares + 2 triangles + 1 rectangle
Total Area = 18 + 20 + 30 = 68
Answer:
29
Step-by-step explanation:
(5k-3) + (9+k) = 180
6k + 6 = 180
6k = 174
k = 29
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