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lorasvet [3.4K]
3 years ago
8

A ladder is 12 metres long . It leans against a wall with one end on the ground 7 metres from the wall. The other end just reach

es a windowsill. Calculate the height of the windowsill above the ground.
i need an explanation please...
Mathematics
1 answer:
MissTica3 years ago
6 0

Answer:

window sill height =9.75 meters

Step-by-step explanation:

Ladder^2=height^2+length^2

12^2=height^2+7^2

144=height^2+49

height^2=144-49=95

height=9.75

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Surface Area of a sphere =4πr^2

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=19800/7

=2828.57

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1 year ago
What is 14 divided by 6
Licemer1 [7]
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Ostrovityanka [42]

Answer:

What's your question?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Select each pair of expressions that are equivalent. 3x + 14 – x + 112 and 4x + 134 2 + 6x and 2(3x + 1) 3(x + 1) – (1 – x) and
Levart [38]

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option 1

(3x + 14 - x + 112) and (4x + 134)

Since, (3x + 14 - x + 112) = (3x - x) + (12 + 112)

                                      = 2x + 124

Therefore, (3x + 14 - x + 112) ≠ (4x + 134) [Not equivalent]

Option 2

(2 + 6x) and 2(3x + 1)

2(3x + 1) = (6x + 2)

Therefore, (2 + 6x) = (6x + 2) [Equivalent]

Option 3

3(x + 1) - (1 - x) and (2x + 3)

Since, 3(x + 1) - (1 - x) = 3x + 3 + x - 1

                                  = (3x + x) + (3 - 1)

                                  = 4x + 2

Therefore, (2x + 3) ≠ (4x + 2) [Not equivalent]

Option 4

3x and 4(x + 1) - x - 4

Since, [4(x + 1) - x - 4] = 4x + 4 - x - 4

                                   = (4x - x) + (4 - 4)

                                   = 3x

Therefore, 3x = [4(x + 1) - x - 4] [Equivalent]

Option 5

(5.5 + 2.2x + 3.8x - 4.1) and (1.4 + 6x)

Since, (5.5 + 2.2x + 3.8x - 4.1) = (2.2x + 3.8x) + (5.5 - 4.1)

                                                 = (6x + 1.4)

Therefore, (1.4 + 6x) = (6x + 1.4) [Equivalent]

4 0
3 years ago
As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change
Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = \frac{2}{100}

θ = \text{tan}^{-1}(\frac{2}{100})

Option (A) will be the answer.

5 0
3 years ago
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