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Elden [556K]
4 years ago
10

A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground

Mathematics
1 answer:
DIA [1.3K]4 years ago
3 0

Angle of elevation is 37°

<u>Step-by-step explanation:</u>

As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,

sin θ = opp/ hyp

       = 75/125

     = 0.6

θ = sin⁻¹ (0.6) = 36.9°≈ 37°

So angle of elevation is 37°.

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The regression equation y = -0.414x + 106.55 approximates the percent of people in an
murzikaleks [220]

The correct option will be:   A. 67%

<em><u>Explanation</u></em>

Given equation is:   y = -0.414x + 106.55 , where x is the length of the film in minutes and y is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will <u>plug x=95 into the above equation</u> and get....

y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67

<em>(Rounded to the nearest percent)</em>

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%

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3 years ago
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Answer:

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Marrrta [24]

Answer:

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Step-by-step explanation:

Hi Juliadayx! How are you?

Well, maybe you already heard about the domain and the range of a function.  

The domain is the set of values that the independent variable can take (usually referred to as the letter "x"), while the range is the set of values that the dependent variable takes, which is called f(x) or function of x.

In this case, the exercise asks you to evaluate for which values of “x” (right column of the table), the function “f(x)” takes positive values (left column of the table), the positive values also include zero. And in this case you can see that the function f(x) is only positive for the values of "x": -2, -1, 0 and 1. Therefore, the answer is the entire interval (-2, 1).

I hope I've been helpful!

Regards!

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