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katen-ka-za [31]
2 years ago
14

For a project in her Geometry class, Chee uses a mirror on the ground to measure the

Mathematics
1 answer:
maria [59]2 years ago
7 0

The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

  • The eight of the goalpost is approximately <u>16.91 meters</u>.

<h3>Methods used to calculate the height</h3>

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to =  1.4 meters

The distance from her eyes to the ground = 1.65 meters

Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }

Which gives;

h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}

  • The height of the goalpost, h ≈ <u>16.91 meters</u>

Learn more about similar triangles here:

brainly.com/question/10676220

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Answer:

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Step-by-step explanation:

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4 * 5 = 20.

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Bingel [31]
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6 0
3 years ago
Given a sample of 35, what is the sample standard deviation of a pair of jeans if the 90% confidence interval is [37.14, 42.86]
DENIUS [597]

Answer:

<h2>10.295</h2>

Step-by-step explanation:

Using the value for calculating the confidence interval as given;

CI = xbar + Z*σ/√n

xbar  is the mean = 37.14+42.86/2

xbar= 80/2

xbar = 40

Z is the z-score at the 90% confidence = 1.645

σ is the standard deviation

n is the sample size = 35

Given the confidence interval CI as [37.14, 42.86]

Using  the maximum value of the confidence interval to get the value of the standard deviation, we will have;

42.86 =  xbar + Z*σ/√n

42.86 = 40 + 1.645* σ/√35

42.86-40 = 1.645*σ/√35

2.86 = 1.645*σ/√35

2.86/1.645 = σ/√35

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σ= 1.739*5.92

σ = 10.295

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3 years ago
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