Answer:
⇒ 
[Factorized form]
Step-by-step explanation:
Given expression:
We need to make 
the subject.
In order to do that we need to solve the expression for in terms of 
and 
We have,
Subtracting both sides by 
Taking square root both sides in order to remove square of
The difference of squares can be factorized and written as:
[difference of squares 
]
Answer in image.
Knowledge point: Trigonometry - tangent concept
Answer:
Scientific Notation: 4.88 ×10^7
Standard Form: 4.88 ×10^7
Step-by-step explanation:
6.1×10^(-3) = 0.0061
8×10^9 = 8000000000
0.0061×8000000000 = 48800000
Answer:
b. more money
Step-by-step explanation:
Randy's original position lets him make:
50*500 = $25,000
The new position will let him make:
$27,500
Therefore,
original position < new position = $25,000 < $27,500
Answer:
1 / 663
Step-by-step explanation:
First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.
There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.
The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =
1 / 663. Hope this helps!
