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2 years ago

From a hot-air balloon, Madison measures a 36^{\circ}

Mathematics

1 answer:

krek1111 [17]2 years ago

3 0

The balloon’s vertical distance above the ground is 570.3 feet

<h3>Angle of elevation and depression</h3>

Given the following parameters

The angle of depression = 36 degrees

Base distance = 785 feet

<h3>Required</h3>

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence the balloon’s vertical distance above the ground is 570.3 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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Devon records 4 hours of reality shows on her DVR she records comedy shows for 3/8 of that amount of time. Devon watches all the

Alenkinab [10]

The number of half-hour sittings needed to watch all the shows by Devon is 11

<u>Solution:</u>

Given, Devon records 4 hours of reality shows on her DVR

she records comedy shows for 3/8 of that amount of time.

$\rightarrow \frac{3}{8} \text { of } 4 \text { hours } \rightarrow \frac{3}{8} \times 4 \rightarrow \frac{3}{2} \text { hours }$

Devon watches all the reality and comedy shows in half-hour sittings.

We have to find the number of half-hour sittings needed to watch all the shows

Now, number of half hour sittings is given as

$=\frac{\text { total time of videos }}{\text { time for hlaf hour sitting }}$

$\begin{array}{l}{=\frac{4 \text { hours for reality shows }+\frac{3}{2} \text { hours for comedy shows }}{\frac{1}{2} \text { hours for each sitting }}} \\\\ {=\frac{4+\frac{3}{2}}{\frac{1}{2}}=\frac{\frac{8+3}{2}}{\frac{1}{2}}=\frac{\frac{11}{2}}{\frac{1}{2}}=\frac{11}{2} \times \frac{2}{1}=11}\end{array}$

Hence Devon needs 11 sittings

3 0

3 years ago

Nate’s work to solve a math problem is shown below. Problem: Leona traveled 25 miles in Two-thirds of an hour. What was her aver

aleksklad [387]

Answer:

He switched the divisor and the dividend when creating an equation to model the problem in step 1.

Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

Two vertices of a right triangle have the coordinates (−2, 5) and (9, 5) .

Dvinal [7]

Answer:

Length = √(y2-y1)² + (x2-x1)²

l = √(5 - 5)² + (9 + 2)²

l = √0² + 11²

l = √121

l = 11

In short, Your Answer would be 11 units

Hope this helps!

Step-by-step explanation:

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3 years ago

Which expression is equivalent to 3(5 + 6)?

Ulleksa [173]

Answer:

3(5+6)=33 15+18=33

Step-by-step explanation:

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3 years ago

In statistics, what term means "a numerical range around a sample mean accompanied with a statement of how confident one is that

Alex Ar [27]

Answer:

Confidence Interval for the mean

Step-by-step explanation:

Confidence interval is made using the observations of a <em>sample</em> of data obtained from a population, so it is constructed in such a way, that, with a certain <em>level of confidence </em>(this is the statement mentioned in the question), that is, one could have a percentage of probability that the interval, or range around the value obtained, frequently 95%, contains the true value of a population parameter (in this case, the population mean).

It is one way to extract information from a population using a sample of it. This kind of information is what inference statistic is always looking for.

An <u>approximation</u> about how to construct this interval or range:

Select a random sample.
For the specific case of a <em>mean</em>, you need to calculate the mean of the <em>sample </em>(sample mean), and, if standard deviation is unknown or not mentioned, also calculate the sample standard deviation.
With this information, and acknowledged that these values follows a standard normal distribution (a normal distribution with mean 0 and a standard deviation of 1), represented by random variable Z, one can use all this information to calculate a <em>confidence interval for the mean</em>, with a certain confidence previously choosen (for example, 95%), that the population mean must be in this interval or <em>range around this sample mean.</em>

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2 years ago