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
ddd [48]
3 years ago
11

What is the exact value of sin(5π/12)? (please give steps)​

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

0.966053748

Step-by-step explanation:

\sin \bigg( \frac{5\pi}{12} \bigg) \\  =  \sin \bigg( \frac{5 \times 180 \degree}{12} \bigg) \\  =   \sin ( 5 \times 15 \degree) \\  =  \sin ( 75 \degree) \\  = \sin ( 45 \degree + 30 \degree) \\  = \sin  45 \degree  \times  \cos 30 \degree + \cos  45 \degree  \times  \sin 30 \degree \\  \\  =  \frac{1}{ \sqrt{2} }  \times   \frac{ \sqrt{3} }{2}  +  \frac{1}{ \sqrt{2} }  \times  \frac{1}{2}  \\  \\  =  \frac{ \sqrt{3} }{2 \sqrt{2} }  +  \frac{1}{2 \sqrt{2} }  \\  \\  =  \frac{ \sqrt{3}  + 1}{2 \sqrt{2} }  \\  \\  =  \frac{1.732 + 1}{2 \times 1.414}  \\  \\  =  \frac{2.732}{2.828}  \\  \\  = 0.966053748

You might be interested in
A cubic box is completely filled with 2,179 g of water. What is the length of one side of the box, in meters? m Explain your rea
Mazyrski [523]

Answer:

l\approx 1.296\,cm

Step-by-step explanation:

The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.

Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:

l = \sqrt[3]{2.179\,m^{3}}

l\approx 1.296\,cm

5 0
2 years ago
Write 5 5/8 as a improper fraction<br> A. 33/8<br> B. 45/8<br> C. 40/8<br> D. 35/8
Vikentia [17]

Answer:

I believe this would be B

Step-by-step explanation:

The way I do improper fractions is called the 'boot'

It is where you take the whole number and the denominator and circle both of them so it kind of looks like a boot and you multiply those together.

So 5 * 8= 40 then you add your numerator to that which gets you 45, and you keep the denominator the same

So you end up with 45/8

Sorry if its a little confusing

Hope this helps :)

8 0
2 years ago
Read 2 more answers
Which situation can be represented by 3s = 5s - 6 ?
grin007 [14]

Answer:

First one

Step-by-step explanation:

3s=5s-6

8 0
3 years ago
What is 600000 minus 145782
svp [43]
454,218 Is The Answer
4 0
3 years ago
Read 2 more answers
Cliff borrows $10 from his brother. The next day, he borrows another $15 from his brother. What integer represents the balance t
Ymorist [56]

Answer:

The answer is (0)15

Step-by-step explanation:

The ratio of the integer is stated to be as (0)15.

4 0
2 years ago
Other questions:
  • Joey went to the Walmart and brought 5 skateboards. He spent a total of 115$. How much does each skateboard cost
    5·2 answers
  • 4+3[-4(-4)+1]<br>How do we evaluate this
    8·1 answer
  • Whitch equation is equivalent to -3x+y=5<br><br> y=5 - 3x<br><br> y=5+3x<br><br> y=-3x-5<br> y=3x+5
    5·1 answer
  • A person earns $187.42 before deductions for 3 days' work. What is the rate of pay per hour assuming 8 hours of work per day?
    15·1 answer
  • What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to the nearest tenths place?
    6·1 answer
  • Determine the point estimate of the population mean for the confidence interval of (15, 32). Enter up to 1 decimal place. Point
    10·1 answer
  • I have an 80 mark math exam this tuesday and there are no study holidays in between. I have 5 chapters coming. I want to practic
    9·1 answer
  • What is the missing length?
    10·1 answer
  • Find the length of the missing side.
    9·2 answers
  • On the weekdays a grocery store has 14239 customers and on the weekends the grocery store has
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!