Answer:
x=12
Step-by-step explanation:
x+7=19
-7 -7
x=12
The answer to the question is 1/27
Assume 0 < <em>x</em>/2 < <em>π</em>/2. Then
tan²(<em>x</em>/2) + 1 = sec²(<em>x</em>/2) ===> sec(<em>x</em>/2) = √(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - <em>t</em> ²)
We also know that
sin²(<em>x</em>/2) + cos²(<em>x</em>/2) = 1 ===> sin(<em>x</em>/2) = √(1 - cos²(<em>x</em>/2))
Recall the double angle identities:
cos(<em>x</em>) = 2 cos²(<em>x</em>/2) - 1
sin(<em>x</em>) = 2 sin(<em>x</em>/2) cos(<em>x</em>/2)
Then
cos(<em>x</em>) = 2/(1 - <em>t</em> ²) - 1 = (1 + <em>t</em> ²)/(1 - <em>t</em> ²)
sin(<em>x</em>) = 2 √(1 - 1/(1 - <em>t</em> ²)) / √(1 - <em>t</em> ²) = 2<em>t</em>/(1 - <em>t</em> ²)
Answer:
Expected value is 4,000
Step-by-step explanation:
To find expected value ⇒ multiply the value by it's probability
40% × ( -25,000 ) = - 10,000
Breaking means neither add nor subtract a given amount
20% × 0 = 0
35% × 40,000 = 14,000
∴ Expected value = -10,000 + 14,000 = 4,000
LOSS: -10,000
BREAK EVEN: 0
WIN: 14,000
Expected value is 4,000
<em>hope this helps....</em>
Answer:
A) 18+81=9(x^2+6x+9)
D)11+(x+3)^2
Step-by-step explanation:
To solve this by completing the square, we want to get it to the form of: (x + 3)^2 = 9
There are multiple ways to get there.
First we could divide by 9 to get.
x^2 + 6x = 0
Then, add 9 to both sides to get:
x^2 + 6x + 9 = 9
Factor the left side:
(x + 3)^2 = 9
Now, you can solve this equation by completing the square.
(*I think you have a typo in your answer choices)
Read more on Brainly.com - brainly.com/question/9252180#readmore
