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yan [13]
3 years ago
14

If tan e = 1.3, what is the value of cot (90° - 9)?

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

A

Step-by-step explanation:

We are given that:

\tan(\theta)=1.3

And we want to find:

\cot(90^\circ -\theta)

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

Our answer is A.

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A jar contains 46 quarters and pennies. The total value of the coins is $4.30. Which system of equations can be used to find p,
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Answer:

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Step-by-step explanation:

q= quarters

p=pennies

set up a system of equations. One equation is for total value, the other is total # of coins.

q + p = 46

0.25q + 0.01p = 4.30 -> multiply this equation by 4 so you can subtract from the top equation

q + P =46

1q + 0.04p = 17.20

subtract the bottom equation from the top

0.96p = 28.8

divide by 0.96

p=30

substitute p in the top equation

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subtract 30 from both sides

q = 16

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C is the correct answer



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