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
blondinia [14]
3 years ago
11

Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle

Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0

Answer:

(6\sqrt{3},\,\frac{5\pi}{6})

Step-by-step explanation:

The radius  r  can be found from the relationship

 r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}

See the attached image.

You might be interested in
What's n = 3 x 45 for 5th grade math please cause I'm not sure how this math goes
Drupady [299]
N=135. 45+45+45=135.
6 0
3 years ago
If y = 45 when x = 180, what is the y when x= 90
bearhunter [10]

Answer:

24.5

Step-by-step explanation:

Since 180 is double 90 divide 45 by 2 and you'll get 24.5

6 0
3 years ago
PLSS HELP ME WITH THIS! 20 POINTS
Svetradugi [14.3K]

Answer:

C)

Step-by-step explanation:

Every x is 6 times bigger than y

3 0
2 years ago
Read 2 more answers
Mike can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additi
ipn [44]

Answer:y = 12x + 7

Step-by-step explanation:

8 0
1 year ago
Is KLMN below a rectangle?
8_murik_8 [283]
Should be C right? A rectangle demands that the diagonals are congruent
6 0
3 years ago
Other questions:
  • Simplify -5-8x+4x-6+9x
    7·2 answers
  • What is the sin of 100
    7·2 answers
  • Anyoneee help im stuck !! 15 points!!
    10·1 answer
  • The coach pays $72 for 18 hamburgers. What is the cost per hamburger? What math concept do you use to solve the problem?
    6·2 answers
  • Solve for x, y, and z 4x+6y−3z=24 3x+4y−6z=2 6x−3y+4z=46
    12·1 answer
  • A geometry class is asked to find the equation of a line that is parallel to y – 3 = −(x + 1) and passes through (4, 2). Trish s
    15·2 answers
  • The game fee with shoe rental is $_, __ than the game fee?<br> correct=thanks + more
    12·2 answers
  • Please help me i will give Brainly
    8·1 answer
  • Is 2.605 a rational number
    12·2 answers
  • Pythagorean theorem !
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!