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lukranit [14]
2 years ago
14

In July, the average temperature in one US city was 29°C. By December, the average temperature had fallen by 29°C. Explain why t

he average temperature in December was 0°C.
Mathematics
2 answers:
Delicious77 [7]2 years ago
10 0
Because if the temperature was 29 degrees in july and in december it was 29 degrees less than 29 then that would be zero because 29-29=0
saul85 [17]2 years ago
7 0
The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.
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Answer:

The answer is

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Step-by-step explanation:

we know that

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In this problem we have

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so

The angle \theta belong to the third or fourth quadrant

The value of sin(\theta) is negative

Step 1

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Remember

sin^{2}(\theta)+cos^{2}(\theta)=1

we have

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

sin^{2}(\theta)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(\theta)=1-\frac{1}{2}

sin^{2}(\theta)=\frac{1}{2}

sin(\theta)=-\frac{\sqrt{2}}{2} ------> remember that the value is negative

Step 2

Find the value of tan(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=-\frac{\sqrt{2}}{2}

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}

tan(\theta)=-1

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