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Stella [2.4K]
4 years ago
7

Please answer. Will give brainliest.

Mathematics
1 answer:
nirvana33 [79]4 years ago
5 0
The range of the data is 6.
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The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t
kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

d(t)=20\sin (\frac{\pi}{30}t)+10

If we consider the position of the person at t = 0, which is:

d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

7 0
1 year ago
Given the equation for the total surface area of a cylinder, solve for the height of the cylinder.
Tju [1.3M]

Answer:

Let S be the total surface area.  Then

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Discussion:

Let S be the total surface area.  Then

S =                      2Pi r*h + 2 Pi r^2        => subtract 2 PI r^2 from both sides

S - 2 PI r^22 =   2 PI r*h                         => divide both sides by 2 PI r

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Thank you,

MrB

Step-by-step explanation:

6 0
3 years ago
What is the equation of the line that is parallel to the line 5x + 2Y=12 and passesthrough the point (-2,4) ?
sladkih [1.3K]

Answer:

y = -\frac{5}{2}x - 1

Step-by-step explanation:

5x + 2y = 12

2y = -5x + 12

y = -\frac{5}{2}x + 6

y = mx + b

4 = -\frac{5}{2} ( -2 ) + b

4 = 5 + b

b = -1

y = -\frac{5}{2}x - 1

5 0
3 years ago
Find:
emmasim [6.3K]

Answer:

Step-by-step explanation:

Given the dataset 147, 154, 156, 161, 162,

Mean is the sum of the dataset divided by the total number of dataset.

a) Mean = \sum Xi/N

\overline x = \dfrac{147+154+156+161+162}{5}\\ \\\overline x = \dfrac{780}{5}\\ \\\overline x= 156

b) The formula for calculating the deviation from the mean for each value is expressed as Xi - \overline X where;

Xi is value of each item

xbar is the mean = 156

Mean deviation of 147 = 147-156 = -9

Mean deviation of 154 = 154-156 = -2

Mean deviation of 156 = 156-156 = 0

Mean deviation of 161 = 161-156 = 5

Mean deviation of 162 = 162-156 = 6

c) Sum of the deviations \sum Xi - \overline X = (-9-2+0+5+6)

\sum Xi - \overline X = -11+11

\sum Xi - \overline X = 0

<em>Hence the sum of deviation from the mean is 0</em>

5 0
3 years ago
The statements below can be used to prove that the triangles are similar.
ki77a [65]

Answer:

StartFraction B C Over Y Z EndFraction = StartFraction 6 Over 3 EndFraction

Step-by-step explanation:

It is stated that both triangles satisfy the Side Side Side (SSS) postulate, and the proportions between 2 sides are provided, therefore, the missing proportion is needed to prove that the triangles are similar, that proportion is: BC/YZ = 6/3

7 0
3 years ago
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