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AysviL [449]
2 years ago
14

Kurt leans a 20-ft long ladder against the side of his house. The ladder reaches to a height of 18.9 feet up the side of the hou

se. What is the angle of elevation of the ladder to the nearest tenth of a degree?
Mathematics
1 answer:
Pani-rosa [81]2 years ago
6 0

Answer:

70.9°

Step-by-step explanation:

Hypotenuse = 20

Leg = 18.9

We will need to use Sin to find the angle since the given leg is opposite of the angle of elevation.

sin^{-1} ( \frac{Leg}{Hypotenuse} )

sin^{-1} ( \frac{18.9}{20} ) = 70.9

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xenn [34]

Answer:

1/2

Step-by-step explanation:

1/4 (4x - 8) + 3x =0

distribute the 1/4

x-2+3x=0

combine like terms

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move -2 to the other side [by ADDing +2 to each side

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6 0
2 years ago
What is the value of y in the following system?<br> Y= 3x-5<br> 6x + 3y= 15
nalin [4]
X = 2
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You can get this by replacing the y in the second equation with the 3x - 5 from the first. Then solve for x. Once you have that value, you can solve for y. 
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2 years ago
The circumference of a
timama [110]

9514 1404 393

Answer:

  • 160,000 m²
  • 16 ha

Step-by-step explanation:

The side length of a square is 1/4 of the perimeter, so the side length of the square orchard is (1600 m)/4 = 400 m.

The area of a square is the square of the side length, so the area of the orchard is (400 m)² = 160,000 m².

A hectare is 10,000 m², so the area of the orchard in hectares is ...

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3 0
3 years ago
If you draw two cards from the deck at the same time, what is the probability that they will both be hearts?
koban [17]

Answer:

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Step-by-step explanation:

The total number of ways in which 2 cards can be selected from a pack of 52 cards is \binom{52}{2}

The total number of combinations of 2 cards with hearts equals \binom{13}{2}

Thus the probability of the event that both the cards have hearts becomes

P(E)=\frac{\binom{13}{2}}{\binom{52}{2}}=\frac{1}{17}

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2 years ago
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