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Assoli18 [71]
3 years ago
15

Find the exact value of sinpi/12

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0

Answer:0.2588

Step-by-step explanation:

To find the exact value for

Sinpi/12

pi=180°

So

Sin 180/12

Sin15°

=0.2588

Mama L [17]3 years ago
5 0

Answer:

Step-by-step explanation:

The answer given below is not in the form you need.  You need the form that includes radicals, not decimals.  The formula for the half angle of sin is

sin(\frac{\theta}{2})=+/-\sqrt{\frac{1-cos\theta}{2} } so we need to find out what theta is.  If our problem is

sin(\frac{\pi}{12}) , to get that into half angle form, it would be rewritten as

sin(\frac{\frac{\pi}{6} }{2}) so

\theta=\frac{\pi}{6}

Look to your unit circle to find the EXACT VALUE of the cos of that angle.  

cos(\frac{\pi}{6})=\frac{\sqrt{3} }{2}

Filling that into the formula for the half angle sin:

sin(\frac{\frac{\pi}{6} }{2})=+/-\sqrt{\frac{1-\frac{\sqrt{3} }{2} }{2} }  Doing a bit of simplifying gives you

+/-\sqrt{\frac{\frac{2}{2} -\frac{\sqrt{3} }{2}  }{2} } and

+/-\sqrt{\frac{\frac{2-\sqrt{3} }{2} }{2} }  and

+/-\sqrt{\frac{2-\sqrt{3} }{2}* \frac{1}{2}  } gives you

+/-\sqrt{\frac{2-\sqrt{3} }{4} } which finally simplifies to

+/-\frac{\sqrt{2-\sqrt{3} } }{2}

That's the answer in exact format.

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Step-by-step explanation:

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2 (21) = P

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P = 42

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Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi
ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

<em><u>Solution:</u></em>

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

<em><u>Therefore, we can frame a equation as,</u></em>

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

3 \times d + 10 \times p = 54.50

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

9 \times d + 5 \times p = 57.25

9d + 5p = 57.25 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

<em><u>Substitute p = 4.25 in eqn 1</u></em>

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0
3 years ago
If m=3 = what is the value of 3m?​
Bond [772]

Answer: 9

Step-by-step explanation:

M=3 and the equation is 3m so your going to multiply. So the equation would be 3*3 and 3*3=9 so that's your answer

6 0
3 years ago
What are the coordinates of P' when you translate P 4 units to the right and 3 unit down?
OLga [1]

Answer:

(3,2)

Step-by-step explanation:

The coordinates of the point P on the given graph is (-1,5).

So, when we translate point P on the graph by 4 units to the right its x-coordinate will change to (- 1 + 4) = 3.

Again, when we translate point P on the graph by 3 units down then its y-coordinate will change to (5 - 3) = 2.

Therefore, the new coordinates of the point P will be (3,2) (Answer)

4 0
3 years ago
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