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weqwewe [10]
2 years ago
13

Determine the exact value of each of the following expressions. Your answers should involve fractions and square roots, and not

decimal values.
cos(30∘)=

sin(30∘)=

tan(30∘)=

cos(60∘)=  

sin(60∘)=

tan(60∘)=

​
Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0
Cos(30)= 3/2
Sin(30)=1/2
Tan(30)=3/3
Cos(60)=1/2
Sin(60)= 3/2
Tan(60)=3
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mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

1 gal=3.78 L

In addition, we are told you have filled the gallon with 2 L at a rate of \frac{2 L}{30 min}=0.06 L/min.

So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the 2 L to the total amount of a gallon:

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On the other hand, the rate is defined as:

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Isolating time:

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time=\frac{1.78 L}{0.06 L/min}

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