Noah is 1.35 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 31.55 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

Answer 1

Answer:

3.64 meters

Step-by-step explanation:

To find the height of the tree to the nearest hundredth of a meter, you can use the principle of similar triangles.

First, we can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle formed by the height of the tree, the distance between the base of the tree and the point where the shadows meet, and the length of the shadow of the tree.

c = √(a² + b²)

c = √(h² + 26.2²)

Next, we can use the similar triangles to establish a ratio between the length of the shadow and the height of the tree and the length of the shadow and the distance from the tree.

shadow tree / height tree = shadow person / height person

31.55 / h = 31.55 / 26.2

Now, we can cross-multiply and divide to solve for h

h = 31.55 * 1.35 / 26.2

h = 3.64 meters

We can round it up to the nearest hundredth of a meter:

h = 3.64 meters

Therefore, the height of the tree is 3.64 meters to the nearest hundredth of a meter.


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Answer:

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Step-by-step explanation:

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[tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]

Plug in the numbers to the slope equation:

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Answers

Answer:

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Total number of ways =10!

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I hope you understand please give brainliest

Step-by-step explanation:

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Answer:

Answer: C) The mean will increase more than the median, but both will increase.

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Trust me did the assignment

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Answer:

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Step-by-step explanation:

The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A random sample of 9 adult female black bears from those tagged had an average body weight of 203 pounds with standard deviation 25 pounds. Which of the following is a point estimate for the population mean weight of all female black bears that are tagged?

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Answers

Answer:

203

Step-by-step explanation:

Sample size, n = 9

Mean weight, m = 203

Standard deviation = 25

Point estimate for the population mean weight of all black bears that are tagged `

The point estimate of the population mean ;

ΣX / n

Sum of sample / sample size ;

This is the mean value formula for the sample.

However, since it has been given in the question that, sample mean weight value = 203 ; then the point estimate of the population mean weight = 203

Option d: 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Given that:Total tagged adult female black bears in the national park = 2,844Sample size = 9Sample mean of body weight of female black bears = 203 pounds.To find:

Point estimate of population mean weight of female black bears that are tagged.

Calculations and explanations:

Point estimation of population mean is calculated by calculating the mean of the sample drawn from that population. This estimate is considered best guess of population mean.

The sample mean is obtained by:

[tex]\overline{x} = \dfrac{\sum \text{sample observations}}{\text{sample size}}[/tex]

Since it is given that the sample mean is 203, thus we have the point estimate of the population mean as 203 too.

Thus, 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Learn more about point estimate of population mean here:

https://brainly.com/question/20747890

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Answers

Answer:

$97.52

Step-by-step explanation:

(original price) 115 - (discount) 23 = 92 (new price)

92 plus 6% sales tax = $97.52 (final price)

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Answers

Yes.
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