1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nydimaria [60]
3 years ago
11

The exact value of cos5pi/12 is:​

Mathematics
1 answer:
jonny [76]3 years ago
4 0

Step 1: Convert \frac{5\pi }{12}, which is in radians into degrees. To convert it multiply by \frac{180}{\pi }

\frac{5\pi }{12} =\frac{180}{\pi }

900/12

75

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = \frac{\sqrt{2} }{2}

cos30 =\frac{\sqrt{3} }{2}

Step 3: Add the cos45 and cos30 to get cos5pi/12

\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}

Hope this helped!

You might be interested in
If one kilogram is 2.2 pounds how many kilograms would it make for 11 pounds
Mila [183]

Answer:

5 kg

Step-by-step explanation:

To solve this problem, we can use the rule of three.

In fact, we know that:

- 1 kilogram is equivalent to 2.2 pounds

- The ratio between the mass in kilograms and in pounds is constant for every value of the mass

- Therefore, the mass in kilograms corresponding to 11 pounds can be found by writing the following equation:

\frac{1 kg}{2.2 p}=\frac{x}{11 p}

Where

x is the mass in kilograms corresponding to 11 pounds.

Solving the equation for x, we find:

x=\frac{(11p)(1kg)}{2.2p}=5 kg

5 0
2 years ago
What is the graph of
Veseljchak [2.6K]

Answer: a coordinate grid

5 0
3 years ago
Find the volume of the composite solid shown below, Round answer to the nearest hundredth.
MrMuchimi
First you’d start off by finding the volume of the rectangular prism on the bottom. The formula for this is lwh or (length*width*height) so you’d plug in the numbers and get 4*4*5 which multiplies out to be 80inches cubed. Next you’d have to find the volume of the pyramid by using the formula lwh/3 or ((length*width*height)/3) so it would be ((4*4*6)/3) and that equals 32inches cubed. Finally, you add the 2 volumes together so 80inches cubed+32inches cubed and get 112inches cubed. Hope this helps
4 0
2 years ago
A plant cell has a lenght of 0.000085 meters. which is this length written in scientific notation ?
Leno4ka [110]

Answer:

8.5x10^-5

Step-by-step explanation:

Move the decimal over between the 8 and the 5, it "hops" 5 times. Since it moved over right, make it negative

8 0
3 years ago
A wheel had a radius of 15cm . Approximately how far does it travel in 4 revolutions
m_a_m_a [10]

Answer:

c

Step-by-step explanation:

sepse nuk me intereson se ca thua ti jevg dreqi i cmen

4 0
3 years ago
Other questions:
  • Using the following intervals for the scores on a 30-point quiz, how many x's would fall over the interval of 19-21 on a line pl
    7·1 answer
  • What is 5p to the second power plus 7p to the second power
    6·1 answer
  • Please answer as soon as possible thank you
    12·2 answers
  • Evaluate the logarithm log(5)1 <br><br> (5) is base
    9·1 answer
  • Please look at the question in the picture it’s a statistics problem
    12·1 answer
  • Can someone help me​
    6·2 answers
  • Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
    9·1 answer
  • What’s the area of the polygon?
    9·2 answers
  • When multiplying a number by 10, where is the decimal point moved?
    12·1 answer
  • What is the simplified slope intercept form
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!