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Yuri [45]
2 years ago
13

I need help!!! I don't get it.

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
5 0

The ship's horizontal distance from the lighthouse is 1930.59 feet. Using trigonometric ratio 'tanθ' the distance is calculated.

<h3>What are trigonometric ratios?</h3>

The trigonometric ratios are used for determining the lengths of the right-angled triangle. There are six basic trigonometric ratios. they are:

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

sec θ = hypotenuse/adjacent

cosec θ = hypotenuse/opposite

cot θ = adjacent/opposite

<h3>Calculation:</h3>

It is given that,

The height of the bacon-light is 135 feet above the water

Consider the horizontal distance between the boat and the lighthouse = x feet

The angle of elevation is given as 4°

Constructing a model as below in the figure.

From the trigonometric ratios, we have

tan θ = 135/x

⇒ tan 4° = 135/x

⇒ x = 135/tan 4°

∴ x = 1930.589 feet ≅ 1930.59 feet (rounding to the nearest hundredth of a foot)

Therefore, the ship's horizontal distance from the lighthouse is 1930.59 feet.

Learn more about trigonometric ratios here:

brainly.com/question/24349828

#SPJ1

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Svetradugi [14.3K]

Answer:

P(80

And we can find this probability with this difference:

P(-4

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-4

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info

Where \mu=180 and \sigma=25

We are interested on this probability

P(80

For this case we can assume that the random variable is normally distributed.

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(80

And we can find this probability with this difference:

P(-4

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-4

5 0
3 years ago
What's the answer of the this-48.3÷(-7)​
goblinko [34]

the answer is 6.9.

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Please help Simplify the following expression.
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Step-by-step explanation:

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Tan (angle B) using an exact expression in trigonometric ratios in right triangles
goblinko [34]
The value of the tangent of an angle is the ratio (opposite side) / (adjacent side).

Here you see that the opposite side (opposite to Angle B) is of length 5 and the adj. side has length 12.

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3 years ago
Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca
VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

  • Max earned a total of $162 working at two jobs
  • He worked 6 hours at his grandfather's store
  • He worked 10 hours at the local  movie theater
  • g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local  movie theater

∴ He earned from the local  movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

6 0
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