Among the 2,598,960 possible five card poker hands from a standard 52 card deck, how many contain at least one spade?
1 answer:
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Answer:
- Long leg = 10√3
- Short leg = 10
- Hypotenuse = 20
Step-by-step explanation:
<u>Concept: </u>
Here, we need to know the idea of a special triangle 30-60-90.
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.
The ratio between the corresponding side of each angle is 1 : √3 : 2
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
30-60-90 ⇔ 1 : √3 : 2
Given the side corresponding to 90° is 20
30° : 90° = 1 : 2
30° : 20 = 1 : 2
30° = 10
30° : 60° = 1 : √3
10 : 60° = 1 : √3
60° = 10√3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The slope of the line is 7/2.
Step-by-step explanation:
If a line passes through two points and
, then the slope of the line is
From the given figure it is clear that the line passes though two points (0,0) and (4,14).
Using the above formula, the slope of the line is
Therefore the slope of the line is 7/2.