Answer:
4/3
Step-by-step explanation:
The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...
tan(θ) = y/x
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For the given point on the terminal side, the tangent is ...
tan(θ) = (-4)/(-3) = 4/3
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<em>Additional comment</em>
There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:
(x, y) = (r·cos(θ), r·sin(θ))
Then the ratio y/x is ...
y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)
The equation you'd make would be (2x-2)+(2x-2)+x+x=20 because the length is 2 m less than the width (x). To simplify, it'd be 6x-4=20 because you combine like terms. You then move the -4 over to the 20 to make it 6x=24. The final answer is 4 meters.
Let x=number 1 let y=number2
there sum is equal to 70
then
number1+number2=70
substituting
x+y=70
y=70-x
let there product will be p
p=xy
substituting
p=x(70-x)
which is choice c
Probability=number of specific outcomes / total number of possible outcomes...
Since they want to know the probability of getting all of the colors the probability is just one.
The sum of all probabilities is always equal to one. In this case:
1/4+1/4+1/4+1/4=1
