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Bogdan [553]
3 years ago
6

A radio transmission tower is 170 feet tall. How long should a guy wire be if it is attached 15 feet from the top and makes a 27

degree angle with the ground?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0
The wire is attached 155 feet off the ground.sine(27) = 155 / hypotenuse hypotenuse = 155 / sine (27)hypotenuse =155 / 0.45399hypotenuse = <span> <span> <span> 341.42
</span></span></span>This means the guy wire is 341.42 feet long.

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A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t
Aleksandr [31]

Answer:

<u><em>y = -190 cos(π t / 120) + 195</em></u>

Step-by-step explanation:

<em>General form of a sinusoidal function: y = A cos(Bt - C) + D </em>

<em> </em>

<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative. </em>

<em> </em>

<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet. </em>

<em> </em>

<em> 2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120. </em>

<em> </em>

<em> C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0. </em>

<em> </em>

<em> D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet. </em>

<em> </em>

<em> Your final function will be:</em>

<u><em>y = -190 cos(π t / 120) + 195</em></u>

7 0
3 years ago
What is seven less than three times a number.
sukhopar [10]
Let’s use y as a replacement for a number. You would do 3y-7 since you multiply by three and take away seven.
3 0
3 years ago
Read 2 more answers
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alexgriva [62]

Answer:

A n y t h i n g  y o u  s a y ?

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3 years ago
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SpyIntel [72]

Answer:

7 \times  {3}^{n - 1}

Step-by-step explanation:

using form:

a \times  {r}^{n - 1}

where a: starting number

where r: common ratio (in this case each next term is 3 times previous term)

8 0
3 years ago
which product will result in a sum or difference of cubes? (x 7)(x2 – 7x 14) (x 8)(x2 8x 64) (x – 9)(x2 9x 81) (x – 10)(x2 – 10x
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Hello,
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6 0
3 years ago
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