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Nady [450]
2 years ago
10

Mr datu has enough money to pay 8 workers for 15 days if he adds 4 more workers for how long can he pay at the same rate?

Mathematics
1 answer:
vesna_86 [32]2 years ago
7 0

Answer:

10 days

Step-by-step explanation:

Mr Datu can pay 8 workers for 15 days,

Then at the same rate he can pay 1 worker for the number of days = 15×8

                                                                                                                = 120

If he adds number of workers = 4

Then total number of workers = 8 + 4 = 12

With the same rate Mr Datu can pay 12 workers for number of days = \frac{120}{12}

                                                                                                                 = 10 days

Therefore, Mr Datu can pay 12 workers for 10 days a the same rate.

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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

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

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so

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The value of sin(\theta) is negative

Step 1

Find the value of  sin(\theta)

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

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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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we can reduce the number of unknowns by substituting q with 2d:

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