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
gavmur [86]
3 years ago
15

2root3 sin^[email protected] -

="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="1b7874685b">[email protected]= 0
Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

Step-by-step explanation:

2\sqrt{3} sin^{2} \alpha -cos\alpha =0\\2\sqrt{3} (1-cos ^2 \alpha )-cos \alpha =0\\2\sqrt{3} -2\sqrt{3} cos^2 \alpha -cos \alpha =0\\2\sqrt{3} cos^2 \alpha +cos \alpha -2\sqrt{3} =0\\cos \alpha =\frac{-1 \pm\sqrt{1^2-4*2\sqrt{3}*(-2\sqrt{3})  } }{2*2\sqrt{3} } \\=\frac{-1 \pm\sqrt{1+48} }{4\sqrt{3} } \\=\frac{-1\pm7}{4\sqrt{3} } \\either~cos \alpha =\frac{6}{4\sqrt{3} }=\frac{\sqrt{3} }{2} \\=cos \frac{\pi }{6} ,cos(2\pi -\frac{\pi }{6} )\\=cos \frac{\pi}{6} ,cos \frac{11\pi }{6}

\alpha =2 n\pi+ \frac{\pi }{6} ,2n\pi +\frac{11\pi }{6} (general~solution)

or~cos\alpha =-\frac{7}{4\sqrt{3} } \\ \alpha =cos^{-1}( \frac{-7}{4\sqrt{3} } )

You might be interested in
Find g-1(3):<br> g(x) =<br> 2x+2<br> 2x + 2<br> 4
Maslowich

Answer:

download phto math and scan

Step-by-step explanation:

4 0
3 years ago
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
goblinko [34]

Hello!

<h3><u><em>Answer</em></u></h3>

The mean of the numbers shown in the table is C. 50.5

<h3>__________________________________________________</h3><h3><em><u>Explanation</u></em></h3>

To calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.

18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555

There are 11 numbers in the table, so we divide by that.

555 / 11 = 50.45...

Finally, round to the nearest tenth: 50.5

<h3 />
3 0
2 years ago
What is the value of 6P6?  A.1  B.36  C.720  D.46,656
3241004551 [841]
the\ permutationon:\ \ n\ P\ x= \frac{n!}{(n-x)!} \\ \\6\ P\ 6= \frac{6!}{(6-6)!} = \frac{6!}{0!}= \frac{2\cdot3\cdot4\cdot5\cdot6}{1}=720

Ans.\ C
3 0
3 years ago
13. Don is running a race. He knows he can run 60 feet in 4 seconds. If he maintains this rate, how many miles will he run in 1
Lana71 [14]

Answer:

10.23 miles

Step-by-step explanation:

1 hour = 3600 seconds

\frac{60}{4} =\frac{x}{3600} \\\\4x=216000\\x=54000

54000 ft = 10.23 miles

5 0
2 years ago
Read 2 more answers
The radius of a circle is 2 miles. What is the circle's
4vir4ik [10]

Answer:

12.56

Step-by-step explanation:

4 ×3.14 to get 12.56

5 0
2 years ago
Other questions:
  • At the amusement park, Laura paid $6.00 for a small cotton candy. Her older brother works at the park, and he told her they mark
    13·2 answers
  • Help asap!!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • In one day Portal Computer Company made 400 laptops with 1200 hours of labor. What was its productivity?
    11·1 answer
  • 80 as a product of prime factors
    15·2 answers
  • How can i rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
    8·2 answers
  • Find the diffrence of the following sequence : -7,-9,-11
    15·1 answer
  • Choose as many answers as apply.
    7·2 answers
  • Solve for EG. A) 18 B) 12 9 D) 6​
    6·2 answers
  • Danica is making a rectangular isle runner which has a length that is 8 inches more than four times the width. Create a function
    7·1 answer
  • SIMPLE CONGRUENCE QUESTION, LOTS OF POINTS!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!