We have
<span>Va(airplane)=150
East</span>
Vw(wind)=7.1
South East
<span>
</span><span>resulting vector R</span>
airplane
Vax=150 Vay=0 it only has component x
WindVwx=7.1*cos45=5.02
Vwy=7.1*sin45=-5.02
is negative because is South direction
|R|=(Rx^2+Ry^2) ^0.5
Rx=150+5.02=155.02
Ry=0-5.02=-5.02
<span>|R|=155.10
miles/hour South East</span>
Determine angle θ
Rx=R*cos(θ)
<span>Cos(θ)=Rx/R</span>
<span>Cos(θ)=155.02/155.10=0.9995</span>
θ =arc cos Rx/R
θ =1.8119 º
Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater
Ry represents the component in the South direction of the resulting force
Its contribution is exclusive of the wind since the airplane has no component
in this direction
|R| the force resulting from the combined action of the force of the plane and the force of the wind
θ represents the angle that forms the resultant force with respect to the x axis or east direction
Looks like A is the answer.
Answer: 1/8
Step-by-step explanation:
convert 1/4 to eighths
1/4 x 2 = 2/8
2/8 yellow fabric - 1/8 red fabric = 1/8
The number of teachers is 4 and number of students is 10 on the trips if the tickets were $22.00 each for teachers and $8.50 each for students.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
In Maths museum tickets were $22.00 each for teachers and $8.50 each for students, and the group paid $173.00 in total.
Let's suppose the number of teachers is x and number of students is y
22x + 8.5y = 173 ...(1)
5.5x + 2y = 42 ...(2)
After solving the above equation by substitution method we get;
From equation (1):
Multiply by 2 with equation (1)
y = 10
x = 4
Thus, the number of teachers is 4 and number of students is 10 on the trips if the tickets were $22.00 each for teachers and $8.50 each for students.
Learn more about the linear equation here:
brainly.com/question/11897796
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