Answer:
x=30
Step-by-step explanation:
90+130+x+10+x+x+x=360
230+3x=360
3x=90
x=30
Solve for n in 270=120 + n*10. 120 gives you first 30 minutes and n is the number of additional 10 minutes you ride. In this case you ride for 30+n*10 minutes. n = (270-120)/10 = 15. So the total time is 30+15*10 = 180 minutes. Or three hours!! That’s a lot of bumper cars!!
Answer:
Your answer is -6.
Step-by-step explanation:
Simplify 2(2x+3) to get 4x+6
Then simplify -6(x+9) to get -6x-54
Now you have 4x+6=-6x-54
Move all of the coefficients to one side:
10x+6=-54
Move all of the constants to the other side:
10x=-60
Divide each side by 10:
10/10x=-60/10
To get your answer of -6.
Answer:
The correct options are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
Step-by-step explanation:
Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)