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blondinia [14]
2 years ago
10

Use the cosine sum and difference identities to find the exact value. COS(5pi/12)

Mathematics
2 answers:
nydimaria [60]2 years ago
8 0
5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 = \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4}= \frac{ \sqrt{6} - \sqrt{2} }{4}
=(2.4495 - 1.4142): 4 = 0.258825
Nina [5.8K]2 years ago
5 0
Square root of 2(square root of 3-1)/4. Honestly apex is trying to mess you up lol
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A circle has a diameter of 22 cm. What is its circumference?
charle [14.2K]

Answer:

\boxed {\tt 69.08 \ centimeters}

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= \pi d

where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.

d= 22 \ cm

c= \pi* 22 \ cm

We also know we are using 3.14 for pi. Substitute it in for pi.

c= 3.14 * 22 \ cm

Multiply.

c=69.08 \ cm

The circumference of the circle is 69.08 centimeters.

8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!!!!!!
Dahasolnce [82]
<h2>Greetings!</h2>

Answer:

x = 67.5

Step-by-step explanation:

Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.

This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.

71.5 - 22 = MA = 49.5

71.5 ÷ 49.5 = \frac{13}{9}

So to get to line MP length, line MB had to be multiplied by \frac{13}{9} to get 97.5

The reverse of this is dividing 97.5 by \frac{13}{9}:

97.5 ÷ \frac{9}{13} = 67.5

So x = 67.5


<h2>Hope this helps!</h2>
4 0
3 years ago
Order these numbers from least to greatest.
gladu [14]

Answer:

5.2, 5.4, 5.45, 5.5

Step-by-step explanation:

Least

to

Greatest

4 0
2 years ago
If d= the number of dogs ,which variable expression represents the phase below? The sun of the number of dogs and the 6 cats
Morgarella [4.7K]

Answer:

d + 6

Step-by-step explanation:

Given that :

Number of dogs = d

The sum of the number of the number of dogs and 6 cats is :

This is a straightforward question :

We take the sum of d and 6

Hence, we have

d + 6

5 0
2 years ago
Solve –2 + x &gt; 10 using the properties of inequalities.
lys-0071 [83]
Using the properties of inequalities:
Subtract -2 from each side of the inequality    -2 + x > 10
Remember -2 - -2 becomes -2 + 2 = 0          <u>- -2 + x > --2
</u>10 - -2 becomes 10 + 2 =12<u />                             0 + x > 12
So the final solution would be x > 12.
Therefore x would have to be all numbers greater than 12.
<u />                                                    
4 0
3 years ago
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