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3 years ago

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Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has a balance of $48.00. Which equation can be used to determi

ne the maximum number of days, d, that she can eat without adding money to her lunch account?

2 answers:

jarptica [38.1K]3 years ago

3 0

Answer:

last one because it will give you the exact number of days

koban [17]3 years ago

3 0

Answer:

d. 2.15d = 48.00

Step-by-step explanation:

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By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

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sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

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tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

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• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

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