Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have 
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Answer:
Step-by-step explanation:
<u>Proportional relationship:</u>
<u>Given:</u>
<u>Find k:</u>
Answer:
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Step-by-step explanation:
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A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to 
. The <em>measures</em> of the internal <u>angles</u> of the <u>triangle</u> given in the question are A = 
, B = 
, and C = 
.
A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to .
Considering the given question, let the <u>sides</u> of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.
Apply the <em>Cosine rule</em> to have:
= 
+ 
- 2ab Cos C
So that;
= 
+ 
- 2(6 * 6.5) Cos C
49 = 36 + 42.25 - 78Cos C
78 Cos C = 78.25 - 49
= 29.25
Cos C = 
= 0.375
C = 
0.375
= 67.9757
C =
Apply the <em>Sine rule</em> to determine the <u>value</u> of B,
= 
= 
SIn B = 
= 0.861
B = 
0.861
= 59.43
B =
Thus to determine the value of A, we have;
A + B + C =
A + + =
A = - 127.4
= 52.6
A =
Therefore the <u>sizes</u> of the <em>internal angles</em> of the triangle are: A = , B = , and C = .
For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814
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Answer:
x (1+8t7)
Step-by-step explanation:
