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Vadim26 [7]
3 years ago
7

Find the value of tan π/12.

Mathematics
2 answers:
omeli [17]3 years ago
8 0
Ok, to get the answer without using a calculator, you first need to draw a right angled triangle with a 30 degree angle. Using a bit of logic and tan(30)=O/A, you will figure out that tan(30)=√3/3. tan(45)=1, this is quite famous.

You can get the answer to tan(15) by using tan(45-30) and the trig identity (tanA-tanB)/(1+tanAtanB).

From there you can produce the result 2-√3=tan(45-30)=tan(15)=tan(π/12)

kompoz [17]3 years ago
3 0
Pi/12 radians = 180/12 degrees = 15 degrees

tan(15 degrees) = 0.2679... (rounded)
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deff fn [24]

Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

D = 324\cdot e^{-0.05t}

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

D = 324\cdot e^{-0.05t}

    =324\times e^{-0.05\times 9}\\\\=206.59

Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

D = P - R

206.59 = P - 69

P = 206.59 + 69

P = 275.59°F

Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

6 0
3 years ago
Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of th
il63 [147K]

Answer:

bigger angle is 117°

Step-by-step explanation:

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x=126/2

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4 0
3 years ago
Please help! Question above
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Answer:

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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Please mark me as Brainliest if you're satisfied with the answer.

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3 years ago
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