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
A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Licemer1 [7]

Answer:

3 ft per minute

Step-by-step explanation:

Take the distance and divide by the time

3/4 ft ÷ 1/4 minute

Copy dot flip

3/4 * 4/1

Rewriting

3/1 * 4/4

3/1 *1

3 ft per minute

5 0
3 years ago
WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x
KiRa [710]

Answer:

y=-2x+4

Step-by-step explanation:

6x+3y=12

3y=-6x+12

y=-2x+4

3 0
3 years ago
Find the square root of 17.3 without a calculator​
Zolol [24]

Answer:

4.15932686862 Exact Form:

√

17.3

Step-by-step explanation:

6 0
3 years ago
The amount of stretch in a short bungee cord stretches 6 inches when stretched by a 3pound weight. A slinky stretches 3 feet whe
aleksklad [387]

Answer:

The slinky situation

Step-by-step explanation:

To make a rate, divide one value by the other.

For the short bungee,

6 inches ÷ 3 pound = 2 inches per pound

While the slinky,

36 inches (remember to convert feet to inches) ÷ 1 pound = 36 inches per pound

As you can tell by the numbers, 36 inches per pound is way better than the 2 inches per pound.

6 0
3 years ago
Are the fractions 3/9, 3/10, 3/11, 3/12 arranged in order from least to greatest or from greatest to least. explain your strateg
Alex787 [66]
3/12 3/11 3/10 3/9 thts all dear
5 0
3 years ago
Other questions:
  • The antiderivative of 5x
    7·1 answer
  • DESPERATELY NEED HELP.GEOMETRY REFLECTIONS/ COMPOSITIONS. Provide an explanation if possible. Thank you
    13·1 answer
  • 2/5m - 4/5 - 3/5m please skrelp
    7·2 answers
  • Find two consecutive whole numbers that 41 lies between.
    6·2 answers
  • the centers of Marathon County Bayfield County and Dodge County all lie along a straight line if Marathon County is equidistant
    11·1 answer
  • What is 28900 divided by 945600
    14·2 answers
  • Express the ratio as a fraction in simplest form:<br> 18 ounces to 3 cups
    14·2 answers
  • 8th Grade Homework-
    7·1 answer
  • Two rays joined at a common endpoint create a
    15·2 answers
  • 15
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!