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3 years ago

A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Convert rev/min to radians per min:

(7 rev/14 min) * (2pi rad/1 rev) = pi radian/min

Convert rad/min to rad/sec. This is the angular velocity:

(pi rad/min)*(1min/60 sec) = pi/60 rad/sec

Linear velocity = angular velocity * radius

(pi/60 rad/sec) * 30ft = 0.5pi ft/sec

Convert ft/sec to in/sec:

(0.5pi ft/sec) * 12 in/1 ft = 6pi in/sec

I HOPE IT HELPS 

HAVE A GREAT DAY

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konstantin123 [22]

Answer: 175V

Step-by-step explanation:

V112+V63=112v+63V

Add them together because the terms are like terms. Therfore, 112V+63V=175V

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3 years ago

Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2

tia_tia [17]

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is $D_{Q,2.5}$ . It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

$\text{Scale factor}=\dfrac{QU'}{QU}$

It is given that QU=4 and scale factor = 2.5.

$2.5=\dfrac{QU'}{4}$

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$2.5\times 4=QU'$

$10=QU'$

We know that

$UU'=QU'-QU$

$UU'=10-4$

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Therefore, the correct option is C.

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3 years ago

Read 2 more answers

A company will lease office space in two buildings. The annual cost of $21.75 per square foot in the first building and cost $17

lbvjy [14]

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3 years ago

1. How can you tell that a point on the graph is a maximum or minimum?

spin [16.1K]

Answer:

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3 years ago

The variance can never bea.zerob.larger than the standard deviationc.negatived.smaller than the standard deviation

MrRa [10]

Answer:

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

Step-by-step explanation:

We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:

$\bar x = \frac{\sum_{i=1}^n X_i}{n}$

And the population mean is given by:

$\mu= \frac{\sum_{i=1}^n X_i}{N}$

The population variance is defined by:

$\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}$

And the sample variance is defined as:

$s^2= \frac{\sum_{i=1}^n (X_i -\bar x)}{n-1}$

Now if we analyze the options we have this:

a.zero

False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.

b.larger than the standard deviation

False, if the population standard deviation is $\sigma=2$ then the variance would be $\sigma^2 = 4$ and as we can see is higher than the standard deviation

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

d.smaller than the standard deviation

False, if the population standard deviation is $\sigma=0.1$ then the variance would be $\sigma^2 = 0.01$ and as we can see is lower than the standard deviation

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3 years ago