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IceJOKER [234]
3 years ago
14

PLEASE HELP!!!!!!!

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer: 2 pair of leggings is $24 she has $36 so she can buy 1 shirt

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A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the
vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

7 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
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If 8 family members choose to play "Secret Santa," how many different ways can the names be paired?
viktelen [127]

Answer:

300,000,000 or three hundred million

Step-by-step explanation:

3 0
3 years ago
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Hi I need help please
Nadusha1986 [10]

Answer:  14 7/8

Step-by-step

I put the 4 1/4 into an improper fraction then did keep change flip

4 0
3 years ago
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Simplify 3^2 x 3^3 <br><br> A. 3<br><br> B. 3^6<br><br> C. 3^5<br><br> D. 3^8
Maslowich
When you are multiplying and have like bases, then you add the exponents. 
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3^5
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