Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
Answer:
see explanation
Step-by-step explanation:
The 2 angles form a right angle, thus their sum is 90°, hence
4x + 7 + 35 = 90
4x + 42 = 90 ( subtract 42 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
-----------------------------------------------------
To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
m = 
= 
= 4
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
I think the answer is angle EBF but i can't read the letters correctly to be sure
<span />
