There are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
<u>Explanation:</u>
FRIDAY is a six letter word.
To form all combinations of letters, we would have six choices of letters to fill the first spot. Whatever letter you choose for the first spot, you then have five choices of letters to fill the second spot. Four choices of letters to fill the third spot. And so on.
So, the total number of different combinations of the six letters would be 6!
6! = 6 X 5 X 4 X 3 X 2 X 1
= 720
DAY could appear consecutively starting in 4 different spots: the 1st, 2nd, 3rd, and 4th spots of all combinations. DAY will appear consecutively 6 times in each of those 4 starting spots.
6 X 4 = 24.
So, there are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
Answer:
The slope of the line is <u>.25</u> This indicates that the diver <u>ascends</u> at a rate of <u>.25 </u>m/s.
Step-by-step explanation:
0 - (-10)
------------ == 10/40 == .25
40 - 0
- 3 ( x - 1 ) = 18
- or, 3x - 3 = 18
- or, 3x = 18 - 3
- or, 3x = 15
- or, x = 15 ÷ 3
- or, x = 5
<u>Answer</u><u>:</u>
<u>x </u><u>=</u><u> </u><u>5</u>
Hope you could understand.
If you have any query, feel free to ask.
Answer:
1177.5 inches
Step-by-step explanation:
Volume of a cylinder = 
, where h is the height
Radius = 10/2 = 5 radius is half the diameter
Height = 3*5 = 15 height is 3 times the radius
V = 3.14 * (5^2) * (15)
= 3.14 *25 * 15
= 1177.5
114°+x°=180
Subtract 114° for both side
x=66°. Hope it help!
