All you need to do is find the probability of getting 0 spades for 5 cards in a row, subtract from 1, and multiply by 2,598,960.
I'll even do the first part: P(0 spades) =
(39/52)*(38/51)*(37/50)*(36/49)*(35/48)
Answer: 28/45
Step-by-step explanation:
tan is 
.
In this case, tanA = 
Answer:
B
Step-by-step explanation:
The two right triangles are congruent but may have different lengths but they will have the same angles.
The two similar right triangles can have a different hypotenuse length, but the slope will remain the same.
Answer:
The given statement is true.
Step-by-step explanation:
A corollary is a statement that can be easily proved using a theorem. This statement is true.
A corollary is usually defined as some idea formed from something that is already existing or already been proven.
This is the reason it is not difficult to prove as it has already been proven.
Answer:
x= -3 and y = 6
Step-by-step explanation:
so basically what you are trying to do is reduce into finding x and y
what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which
so,...
we can do
either 20x or 15y
we will go with the smallest 15y
so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second
5 x 5x+3y=3 --> 1
3 x 4x+5y=18 --> 2
we then get
25x+15y = 15 -->1
12x + 15y = 54 -->2
then now that you have the same Y values you can subtract ! which cancels out both the 15y
25x+15y = 15 -->1
- 12x + 15y = 54 -->2
13x =-39
so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with !
x = -3
5(-3) +3y =3
-15 + 3y = 3
3y = 3+15
3y=18
y = 6!
