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Mazyrski [523]
2 years ago
5

Two ladders are leaning against a building, forming two similar triangles as shown below. The top of the longer ladder is 28 fee

t up the building's side. The top of the shorter ladder is 20 feet up the building's side and its base is 15 feet from the bottom of the building. What is the length of the longer ladder?
Mathematics
1 answer:
postnew [5]2 years ago
7 0

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

20x + 300 = 420

20x = 420-300

20x = 120

x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

x^2 = 1,225

x = √1225

x = 35 ft

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Answer:

y = 2/5x

Step-by-step explanation:

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The equation can cross anywhere on the y-axis for its y-intercept since no specific point is given. Here I chose (0,0).

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3 years ago
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Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 5

Given data  4, 6,8,10,12

Mean = \frac{4+6+8+10+12}{5} = 8

Mean of the sample x⁻ = 8

Standard deviation of the sample

                  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

<u><em>Step(ii)</em></u>:-

Given data

x          :         4      6       8       10      12

x-x⁻      :      4 - 8   6-8   8-8    10-8    12-8

(x-x⁻)   :        -4      -2     0          2        4

(x-x⁻)²  :        16     4       0         4        16  

 

  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

  S.D = \sqrt{\frac{16+4+0+4+16}{4}}

 S.D = √10 = 3.16227

<u><em> Final answer</em></u>:-

The standard deviation = 3.16227

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Answer:

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Step-by-step explanation:

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What is the Anwser if a divide 33 into 2 groups so the ratio is 4 to 7
Naddika [18.5K]
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Now go back to 4x and 7x
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One group is 12 and the other is 21.
7 0
3 years ago
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