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Step-by-step explanation:
Answer:
The number of ways to select 5 diamonds and 3 clubs is 368,082.
Step-by-step explanation:
In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.
Compute the probability of selecting 5 diamonds and 3 clubs as follows:
The number of ways of selecting 0 cards from 13 hearts is:
The number of ways of selecting 3 cards from 13 clubs is:
The number of ways of selecting 5 cards from 13 diamonds is:
The number of ways of selecting 0 cards from 13 spades is:
Compute the number of ways to select 5 diamonds and 3 clubs as:
Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.
Given:
Solution:
To solve the equation, it would be best if we remove the root. We remove the root by squaring the equation, but first we need to move the root and the content to the left side.
Then square both side to remove the root
After removing the root, move all terms to the left side
sec² x - 2 sec x + 1 = 0
Do factorization, remember that
a² - 2a + 1 = (a - 1)²
So,
sec² x - 2 sec x + 1 = 0
(sec x - 1)² = 0
sec x - 1 = 0
sec x = 1
= 1
cos x = 1
cos x = cos 0°
x = 0°
Solution:
To solve the equation, it would be best if we remove the root. We remove the root by squaring the equation, but first we need to move the root and the content to the left side.
Then square both side to remove the root
After removing the root, move all terms to the left side
sec² x - 2 sec x + 1 = 0
Do factorization, remember that
a² - 2a + 1 = (a - 1)²
So,
sec² x - 2 sec x + 1 = 0
(sec x - 1)² = 0
sec x - 1 = 0
sec x = 1
cos x = 1
cos x = cos 0°
x = 0°