If angle A = 34°, angle B = (x-5)°, angle C = 4y °, what is the value of y?
2 answers:
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When there is a multiplication involving exponents, we need to evaluate the numbers and each variables separately. In this case, we have 5 and 4 as the numbers, and w and h for the variables.
When we multiply 5 and 4 we get:
For w, we have
, 
, 
. While we are multiplying the w's, we need to add the exponents together to get the final answer: 
For h's, there are
, 
, 
. When we apply the same thing to h's, we get 
For the final step, we need to write all of these together:
When we multiply 5 and 4 we get:
For w, we have
For h's, there are
For the final step, we need to write all of these together:
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.