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muminat
2 years ago
10

Josh tied a helium-filled balloon to a stake in the ground. The wind blew it so that the 10-foot string attached to the balloon

made an angle of 45° with the ground.
Mathematics
1 answer:
Lyrx [107]2 years ago
7 0

The height of the balloon above the ground is about 7.07 feet.

<h3>What is trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the balloon from the ground, hence:

sin(45) = h/10

h = 7.07 feet

The height of the balloon above the ground is about 7.07 feet.

Find out more on trigonometric ratio at: brainly.com/question/1201366

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Give the exact form and decimal form of the equation
Svet_ta [14]

Answer:

Exact form: \sin{(6x)} = \frac{8}{9}

Decimal form: \sin{(6x)} = 0.8889

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

8 = 9\sin{(6x)}

Placing into the desired format, the exact format is:

\sin{(6x)} = \frac{8}{9}

In the decimal part, we divide 8 by 9. So

\sin{(6x)} = 0.8889

Solving for x:

We apply the inverse sine. So

\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}

6x = 62.73

x = \frac{62.73}{6}

x = 10.455

The solution for x is of 10.455º

5 0
2 years ago
What does x equal in 5x + 15 = 28
Minchanka [31]

Answer: 2.6

Step-by-step explanation:

28-15=13

13/5=2.6

Good luck! :)

8 0
2 years ago
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anzhelika [568]

Answer:

1) Rolling a 3 is unlikely and rolling a 4 is unlikely too.

2) The probability of niki drawing a green marble is likely and the probability of tom drawing a blue marble is unlikely.

Step-by-step explanation:

1) Since there is only one 3 out of 6 numbers, the probability of that outcome is 1/6, which is low. The same thing goes for throwing a 4.

2) The reason why it is equally likely for niki drawing a green is because there are more green marbles than the other marbles. You could see it as a fraction as well, which is 4/9 Which is very close to one half (4.5). For tom, there are less blue marbles which brings it down to the unlikely spot (fraction = 3/9)

Hopefully this helps, and hopefully it isn't too confusing.

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3 years ago
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NeX [460]

Answer:

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Step-by-step explanation:

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Afina-wow [57]
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