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3 years ago

When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?

1 answer:

5 0

Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

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Select ALL the correct answers,

Vaselesa [24]

<h2>Answer :</h2>

Option (2) and Option (3) is the correct answer .

Required Explaination :

Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.

The graph of this scenario is a downward parabola. Therefore option 2 is correct.

Scenario 3 : The sale of product increases at first and then decreases.

The graph of this scenario is a downward parabola. Therefore option 3 is correct.

Therefore, the correct options are 2 and 3.

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3 years ago

The beginning capital balance shown on a statement of owner's equity is $43,000. Net income for the period is $18,000. The owner

Anestetic [448]

Answer:

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Step-by-step explanation:

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3 years ago

Which term is a term in this expression? A. x+4 B. -7 C. -3 D. -3x

svp [43]

Answer: -3x is a term

Step-by-step explanation: Any number that has a variable after it is a term. Another way to look at it is any grouping of a number and a variable. If the number stands alone, it's not a term, and if it is being added to something, it is an equation.

7 0

3 years ago

Convert 0.09 cubic meters to kg

Reil [10]

(kg/L)0.001gram per litre (g/L)1

Hope this helps. :)

6 0

3 years ago

Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms oc

Anit [1.1K]

Answer:

a) $\hat \sigma^2 =s^2 =30^2 = 900$

b) $567.277 \leq \sigma^2 \leq 1690.224$

Rounded to the nearest number would be:

$567 \leq \sigma^2 \leq 1690$

c) $23.818 \leq \sigma \leq 41.112$

And rounded :

$23.8 \leq \sigma \leq 41.1$

Step-by-step explanation:

Data given and notation

s=30 represent the sample standard deviation

$\bar x=290$ represent the sample mean

n=20 the sample size

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

Part a

The best point of estimate for the population variance is the sample variance, so on this case:

$\hat \sigma^2 =s^2 =30^2 = 900$

Part b

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.