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4vir4ik [10]
3 years ago
13

A ladder is 10 feet long and rests on a wall. The base of the ladder is 5 feet from the wall. Determine how high the ladder touc

hes the wall.

Mathematics
2 answers:
mr Goodwill [35]3 years ago
8 0

Answer:

8.66

Step-by-step explanation:

Alex Ar [27]3 years ago
5 0
8.660 ft a squared + b squared = c squared
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choli [55]

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5 0
3 years ago
PLEASE HELPPPPPP!!!!Tim sells two types of pizza. He charges $10 for a cheese pizza and $15 for a pepperoni pizza. Yesterday he
mr Goodwill [35]

Answer:

$880

Step-by-step explanation:

48 pepperoni pizza=48*15=720

16 cheese pizza=16*10=160

total=$880

8 0
2 years ago
Read 2 more answers
Identify the standard form of the equation by completing the square.
OLEGan [10]

Answer:

\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Step-by-step explanation:

<u>Given equation</u>:

4x^2-9y^2-8x+36y-68=0

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

\implies 4x^2-8x-9y^2+36y=68

Factor out the coefficient of the x² term and the y² term.

\implies 4(x^2-2x)-9(y^2-4y)=68

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2

\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36

Factor the two perfect trinomials on the left side:

\implies 4(x-1)^2-9(y-2)^2=36

Divide both sides by the number of the right side so the right side equals 1:

\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}

Simplify:

\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Therefore, this is the standard equation for a horizontal hyperbola with:

  • center = (1, 2)
  • vertices = (-2, 2) and (4, 2)
  • co-vertices = (1, 0) and (1, 4)
  • \textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}
  • \textsf{Foci}: \quad  (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)

4 0
1 year ago
I dont understand B and C in this question so there are a deck of cards 1-10 i already got A right but B and C i dont understand
r-ruslan [8.4K]

Answer:

see below

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10  = 10 cards

9 of them have 1 digit on them  ( 10 has 2 digits)

P( 1 digit) = number with 1 digit) / total = 9/10

P(  not have 1 digit)= number not  with 1 digit) / total = 1/10

7 0
3 years ago
Calculator<br> What is the value of x?<br> Enter your answer in the box.<br> X =
iVinArrow [24]

Answer:

x=5

Step-by-step explanation:

According to the Pythogoras Theorem,

(hyp)^2 = (opp)^2 + (adj)^2

(13)^2 = (12)^2 + (x)^2

169 = 144 + (x)^2

(x)^2 = 25

x = 5

3 0
3 years ago
Read 2 more answers
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