Answer:
A. It will take 13 weeks until she gets the money nd she will have $50 left!
Step-by-step explanation:
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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)
The equation would be:
x - 9 < 4
Simplify (add 9)
Solution: x < 13
Answer:
Dori has $48 left.
Step-by-step explanation:
The boat costs twice as much as the goggles, divide 8 by 2 to find the price of the goggles. The price of the goggles is $4.
Add $8 and $4 to get $12. This is the total money Dori spent.
Since this is 1/5 of her money, multiply $12 by 5 to get $60. This is the money Dori had.
Subtract the $12 from the $60 to get $48. This is the money Dori has left.
Answer:
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