5. Each pair of polygons below are similar. Show your work! Solve for x:
1 answer:
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Answer:
Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.
Step-by-step explanation:
We find the components of the forces in x-y-z
Force of Jack in z =F₁z=90.5 N in direction (+z)
Force of Jill in x = F₂x= -82.3*cos45°= - 58.19 N (-x)
Force of Jill in y =F₂y=-82.3*sin45°= + 58.19 N (+y)
Force of Jane in x =F₃x=125*cos45°= + 88.4 N (+x)
Force of Jane in y =F₃y=125*sin45°= + 88.4 N (+y)
Calculating of the components of the net force the people exert on the donkey.
Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)
Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)
Fnz =F₁z=90.5 N (+z)
Calculating of the magnitude of the net force the people exert on the donkey.
Answer:
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Step-by-step explanation:
Given that:
Snack bags come in packages of 12.
Juice bags come in packages of 10.
To find:
Fewest number of packages of each product so that there are same number of snack bags and juice boxes.
Solution:
Number of snack bags when 1 package is bought = 12
Number of snack bags when 2 package is bought = 24
Number of snack bags when 3 package is bought = 36
Number of snack bags when 4 package is bought = 48
Number of snack bags when 5 package is bought = 60
Number of snack bags when 6 package is bought = 72
Number of juice bags when 1 package is bought = 10
Number of juice bags when 2 package is bought = 20
Number of juice bags when 3 package is bought = 30
Number of juice bags when 4 package is bought = 40
Number of juice bags when 5 package is bought = 50
Number of juice bags when 6 package is bought = 60
Number of juice bags when 7 package is bought = 70
We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.
This can be found by finding the LCM as well.
LCM of 10 and 12 is 60.
It means we need to buy 60 bags of each item.
And we can easily find the number of packages for each.
Number of packages of snack bags to be bought =
Number of packages of juice bags to be bought =
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.