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tia_tia [17]
3 years ago
14

True or false if a line and a circle are coplanar i am a line intersects the circle in exactly 1 point the line is called a tang

ent line
Mathematics
1 answer:
Fed [463]3 years ago
4 0
The answer you need is true
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A Ferris Wheel 22.0m in diameter rotates once every 12.5s. What is the ratio of a persons apperenet weight to her real weight (a
AnnZ [28]
  <span>Acceleration of a passenger is centripetal acceleration, since the Ferris wheel is assumed at uniform speed: 
a = omega^2*r 

omega and r in terms of given data: 
omega = 2*Pi/T 
r = d/2 

Thus: 
a = 2*Pi^2*d/T^2 

What forces cause this acceleration for the passenger, at either top or bottom? 

At top (acceleration is downward): 
Weight (m*g): downward 
Normal force (Ntop): upward 

Thus Newton's 2nd law reads: 
m*g - Ntop = m*a 

At top (acceleration is upward): 
Weight (m*g): downward 
Normal force (Nbottom): upward 

Thus Newton's 2nd law reads: 
Nbottom - m*g = m*a 

Solve for normal forces in both cases. Normal force is apparent weight, the weight that the passenger thinks is her weight when measuring by any method in the gondola reference frame: 
Ntop = m*(g - a) 
Nbottom = m*(g + a) 


Substitute a: 
Ntop = m*(g - 2*Pi^2*d/T^2) 
Nbottom = m*(g + 2*Pi^2*d/T^2) 

We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground): 
Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g) 
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g) 

Simplify: 
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2) 
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2) 

Data: 
d:=22 m; T:=12.5 sec; g:=9.8 N/kg; 

Results: 
Ntop/(m*g) = 71.64%...she feels "light" 
Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
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3 years ago
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Use the substitution method to find the solution to the system of linear equations.
nataly862011 [7]

Answer: answer is d

Step-by-step explanation: input in calculator or set both equal to y and then set them equal to each other

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3 years ago
A factor tree for 61 that is not nothing
ddd [48]
False because the factor tree for 61 is 1 and 61

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3 years ago
Which of the following describes a scenario in which a chi-square goodness-of-fit test would be an appropriate procedure to just
egoroff_w [7]

Answer:

A campaign manager would like to show the distribution of individuals...

Step-by-step explanation:

goodness of fit can be used to compare observed and expected counts. The newspaper report would be the expected. The campaign manager's distribution is the expected.

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Jessica jogs on a path that is 25 km long to get to a park that is south of the jogging path. If it takes Jessica 2.5 hours then
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10 km per hour. hope this helps partially
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3 years ago
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