Answer:
653.84 lbs.
Step-by-step explanation:
To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.
The x component of the 300 lb force is 300cos(60)=150 lbs.
The y component of the 300 lb force is 300sin(60)=
lbs.
The x component of the total force is the sum of the x components of the two forces.
Fx=150+450=600
Fy=259.81
The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.
F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.
Answer:
10= 275
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11=
a 6
b 4
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12= 35
Step-by-step explanation:
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Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
Answer:
3
Step-by-step explanation: