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OverLord2011 [107]
2 years ago
5

Find the area of the polygon.

Mathematics
1 answer:
kotegsom [21]2 years ago
6 0

Answer:

(30 \times 30) + ( \frac{1}{2}  \times (30 + 15) \times 30 \\ 900 + 675 \\ 1575

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Approximately _____ percent of the population are diagnosed with panic disorder using DSM criteria.
torisob [31]
DSM stands for Diagnostic and Statistical Manual of Mental Disorders. DSM is aclassification system for the mental disorders and indicates how the disorder can be distinguished from other. The DSM-5 recognized anxiety disorders are: generalized anxiety disorder, phobic disorder, panic disorder and obsessive compulsive disorder. <span>Approximately  3 percent of the population are diagnosed with panic disorder using DSM criteria.</span>
3 0
3 years ago
Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y
katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are  (h  ±  a  ,  k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is  2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0
3 years ago
Read 2 more answers
What is the slope of the line on the graph
cupoosta [38]

Answer:

The answer is 1/2. Hope that helps

Step-by-step explanation:

You count up how many times you need to. You then count right.

5 0
3 years ago
Read 2 more answers
D) - 15/3 = x + 1<br> how do i solve this
kobusy [5.1K]

Answer:

x = - 6

Step-by-step explanation:

- 15/3 = x + 1

- x = 1 + 15/3

- x = 3/3 + 15/3

- x = 18/3

x = - 18/3

x = - 6

6 0
3 years ago
Why is your nose in the middle of your face
aleksandr82 [10.1K]
Well, considering this is a Math Joke, I believe, the answer is, "Because it is the scenter." Or (Center).

Hoped this helped! :)
6 0
3 years ago
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