Answer:
1 1/2
Step-by-step explanation:
Hope this helps you pass your quiz :>
3 1/2 divided by 5. this would give you .7 pounds of candy per person
Answer:
The ratio of the drag coefficients
is approximately 0.0002
Step-by-step explanation:
The given Reynolds number of the model = The Reynolds number of the prototype
The drag coefficient of the model,
= The drag coefficient of the prototype, ![c_{p}](https://tex.z-dn.net/?f=c_%7Bp%7D)
The medium of the test for the model,
= The medium of the test for the prototype, ![\rho_p](https://tex.z-dn.net/?f=%5Crho_p)
The drag force is given as follows;
![F_D = C_D \times A \times \dfrac{\rho \cdot V^2}{2}](https://tex.z-dn.net/?f=F_D%20%3D%20C_D%20%5Ctimes%20A%20%5Ctimes%20%20%5Cdfrac%7B%5Crho%20%5Ccdot%20V%5E2%7D%7B2%7D)
We have;
![L_p = \dfrac{\rho _p}{\rho _m} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_m} \right)^2 \times L_m](https://tex.z-dn.net/?f=L_p%20%3D%20%5Cdfrac%7B%5Crho%20_p%7D%7B%5Crho%20_m%7D%20%5Ctimes%20%5Cleft%28%5Cdfrac%7BV_p%7D%7BV_m%7D%20%5Cright%29%5E2%20%5Ctimes%20%5Cleft%28%5Cdfrac%7Bc_p%7D%7Bc_m%7D%20%5Cright%29%5E2%20%5Ctimes%20L_m)
Therefore;
![\dfrac{L_p}{L_m} = \dfrac{\rho _p}{\rho _m} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_m} \right)^2](https://tex.z-dn.net/?f=%5Cdfrac%7BL_p%7D%7BL_m%7D%20%20%3D%20%5Cdfrac%7B%5Crho%20_p%7D%7B%5Crho%20_m%7D%20%5Ctimes%20%5Cleft%28%5Cdfrac%7BV_p%7D%7BV_m%7D%20%5Cright%29%5E2%20%5Ctimes%20%5Cleft%28%5Cdfrac%7Bc_p%7D%7Bc_m%7D%20%5Cright%29%5E2)
![\dfrac{L_p}{L_m} =\dfrac{17}{1}](https://tex.z-dn.net/?f=%5Cdfrac%7BL_p%7D%7BL_m%7D%20%20%3D%5Cdfrac%7B17%7D%7B1%7D)
![\therefore \dfrac{L_p}{L_m} = \dfrac{17}{1} =\dfrac{\rho _p}{\rho _p} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_p} \right)^2 = \left(\dfrac{V_p}{V_m} \right)^2](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cdfrac%7BL_p%7D%7BL_m%7D%20%20%3D%20%5Cdfrac%7B17%7D%7B1%7D%20%3D%5Cdfrac%7B%5Crho%20_p%7D%7B%5Crho%20_p%7D%20%5Ctimes%20%5Cleft%28%5Cdfrac%7BV_p%7D%7BV_m%7D%20%5Cright%29%5E2%20%5Ctimes%20%5Cleft%28%5Cdfrac%7Bc_p%7D%7Bc_p%7D%20%5Cright%29%5E2%20%3D%20%5Cleft%28%5Cdfrac%7BV_p%7D%7BV_m%7D%20%5Cright%29%5E2)
![\dfrac{17}{1} = \left(\dfrac{V_p}{V_m} \right)^2](https://tex.z-dn.net/?f=%5Cdfrac%7B17%7D%7B1%7D%20%3D%20%5Cleft%28%5Cdfrac%7BV_p%7D%7BV_m%7D%20%5Cright%29%5E2)
![\dfrac{F_p}{F_m} = \dfrac{c_p \times A_p \times \dfrac{\rho_p \cdot V_p^2}{2}}{c_m \times A_m \times \dfrac{\rho_m \cdot V_m^2}{2}} = \dfrac{A_p}{A_m} \times \dfrac{V_p^2}{V_m^2}](https://tex.z-dn.net/?f=%5Cdfrac%7BF_p%7D%7BF_m%7D%20%20%3D%20%5Cdfrac%7Bc_p%20%5Ctimes%20A_p%20%5Ctimes%20%20%5Cdfrac%7B%5Crho_p%20%5Ccdot%20V_p%5E2%7D%7B2%7D%7D%7Bc_m%20%5Ctimes%20A_m%20%5Ctimes%20%20%5Cdfrac%7B%5Crho_m%20%5Ccdot%20V_m%5E2%7D%7B2%7D%7D%20%3D%20%5Cdfrac%7BA_p%7D%7BA_m%7D%20%5Ctimes%20%5Cdfrac%7BV_p%5E2%7D%7BV_m%5E2%7D)
![\dfrac{A_m}{A_p} = \left( \dfrac{1}{17} \right)^2](https://tex.z-dn.net/?f=%5Cdfrac%7BA_m%7D%7BA_p%7D%20%3D%20%5Cleft%28%20%5Cdfrac%7B1%7D%7B17%7D%20%5Cright%29%5E2)
![\dfrac{F_p}{F_m} = \dfrac{A_p}{A_m} \times \dfrac{V_p^2}{V_m^2}= \left (\dfrac{17}{1} \right)^2 \times \left( \left\dfrac{17}{1} \right) = 17^3](https://tex.z-dn.net/?f=%5Cdfrac%7BF_p%7D%7BF_m%7D%20%20%3D%20%5Cdfrac%7BA_p%7D%7BA_m%7D%20%5Ctimes%20%5Cdfrac%7BV_p%5E2%7D%7BV_m%5E2%7D%3D%20%5Cleft%20%28%5Cdfrac%7B17%7D%7B1%7D%20%5Cright%29%5E2%20%5Ctimes%20%5Cleft%28%20%5Cleft%5Cdfrac%7B17%7D%7B1%7D%20%5Cright%29%20%3D%2017%5E3)
= (1/17)^3 ≈ 0.0002
The ratio of the drag coefficients
≈ 0.0002.
Answer:
<u>40 players</u>
Step-by-step explanation:
Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players
Answer:
Option 2 : m∠1 = 67.4°, m∠2 = 104.5°
Step-by-step explanation:
Lets find the measure of angle 2 first:
180° - 17.3° - (180° - 121.8°) = Angle 2
↑
Angle of the straight line = 180°
The angle should be 180 - 121.8
Angle 2 = 104.5
At this point the only answer that works is the second option, but let's still work out Angle 1
Angle 1 :
Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle
in this case:
Angle 1 + 37.1 = Angle 2
Since we know angle 2 = 104.5, lets solve
Lets say angle 1 = x
x + 37.1 = 104.5
x = 104.5 - 37.1
x = 67.4
If my answer is incorrect, pls correct me!
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-Chetan K