In the first digit, there are 6 possibilities. In the second, there are 5, because you can't use the digit you used before. In the third, there are 4, and in the fourth, there are 3. So,
6*5*4*3=360
There are 360 different possible four-digit numbers
Answer:
The answer to your question are letters A, C and D.
Step-by-step explanation:
To factor this polynomial we need to look for the common factor of the three terms.
To find it, get the greatest common factor
140 28 14 2
70 14 7 2
35 7 7 5
7 7 7 7
1 1 1
Greatest common factor = 2 x 7 = 14
Factor the polynomial
140c + 28 - 14a = 14 ( 10c + 2 - a)
Factor only 7 7(20c + 4 - 2a)
Factor only 2 2 (70c + 14 - 7a)
Answer:
![DE=18.38](https://tex.z-dn.net/?f=DE%3D18.38)
Step-by-step explanation:
It is given that the length of triangle base is 26 that is BC=26.
A line, which is parallel to the base divides the triangle into two equal area parts.
Therefore, from the given information,
.
Now, since it is given that A line, which is parallel to the base divides the triangle into two equal area parts, thus
![\frac{ar ADE}{arABC}=\frac{1}{2}=\frac{(DE)^{2}}{(BC)^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bar%20ADE%7D%7BarABC%7D%3D%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B%28DE%29%5E%7B2%7D%7D%7B%28BC%29%5E%7B2%7D%7D)
⇒![\frac{(DE)^{2}}{(BC)^{2}}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28DE%29%5E%7B2%7D%7D%7B%28BC%29%5E%7B2%7D%7D%3D%5Cfrac%7B1%7D%7B2%7D)
⇒![\frac{(DE)^{2}}{(26)^{2}}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28DE%29%5E%7B2%7D%7D%7B%2826%29%5E%7B2%7D%7D%3D%5Cfrac%7B1%7D%7B2%7D)
⇒![(DE)^{2}=13{\times}26=338](https://tex.z-dn.net/?f=%28DE%29%5E%7B2%7D%3D13%7B%5Ctimes%7D26%3D338)
⇒![DE=18.38](https://tex.z-dn.net/?f=DE%3D18.38)
Answer:
The volume of the Prism is equal to the volume of the cylinder
Step-by-step explanation:
Because both are 5 units making them equal
Answer:
1 in 8 chance.
Step-by-step explanation:
When a coin flips is has two outcomes: heads or tails, obviously.
Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes
1 coin: 2 outcomes
2 coins: 4 outcomes
3 coins: 8 outcomes
Another thing:
Don't be fooled by questions being specific by saying "all heads" or "all tails"...
This is a wording trick, no matter the outcome, the chances will always be equal.
Good luck :)