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Crazy boy [7]
4 years ago
12

An 8.5-meter ladder is leaning against a vertical wall. How many meters is its base from the wall if the ladder reaches 7.5 mete

rs up the wall?
Mathematics
1 answer:
Monica [59]4 years ago
7 0

Answer:

  4 m

Step-by-step explanation:

The geometry is that of a right triangle with hypotenuse 8.5 m and one side of length 7.5 m. If "b" represents the distance from the base of the ladder to the wall, the Pythagorean theorem tells us ...

  b² + 7.5² = 8.5²

  b² + 56.25 = 72.25

  b² = 16 . . . . . . . . . . . . . subtract 56.25

  b = 4 . . . . meters . . . (take the square root)

The base of the ladder is 4 m from the wall.

_____

You may recognize this as the 8-15-17 Pythagorean triple, scaled by 1/2.

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What the value of x in x + 7 = 14 x is 7
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Answer:

7

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4 years ago
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What are the values of M and theta in the diagram below
Montano1993 [528]

Answer:

The correct answer is m=\frac{\sqrt{3} }{2} and θ = 30º.

Step-by-step explanation:

First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is \frac{1}{2} and the angle is theta.

First, we calculate the angle with theta's breast:

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θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

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m = \frac{\sqrt{3} }{2}

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3 0
3 years ago
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What value of x is in the solution set of -2(3x + 2) > -8x + 6?
n200080 [17]

Answer:

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Taking x terms on left side and other constants on right side

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In the last month, the ratio between Davis's monthly expenditure and his monthly salary was 3 : 7. What percentage of his monthl
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3 years ago
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