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:
When a figure or shape is dilated , the size of the figure either enlarges or shrank without changing its actual shape.
Shape or figure after dilation is similar to original figure.
If the scale or factor of dilation is greater than 1 the shape enlarges.
If the scale factor lies between 0<scale factor<1, then the figure shrinks i.e size reduces.
So out of all the options given →It has the same shape as the original and is smaller than the original figure.
Answer:
4 * 4 ÷ 4 = 4
8 ÷ (2*2) = 2
Step-by-step explanation:
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I hope this helps.
Answer:
The vertical component of the force is 1352 pounds.
Step-by-step explanation:
Given that,
Force acting on the tree trunk, F = 3200 pounds
The truck's cable makes an angle of 25 degree with the vertical. We need to find the vertical component of the force. We know that the force is a vector quantity. The vertical component is given by :
Hence, the vertical component of the force is 1352 pounds.
