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
Mandarinka [93]
2 years ago
13

Find polar coordinates of the point whose cartesian coordinates are given. (-2√3 , 2)

Mathematics
1 answer:
gavmur [86]2 years ago
8 0

The  polar coordinates of the point whose cartesian coordinates is (-2√3 , 2) is (4cos210, 4sin210)

<h3>Polar form of a rectangular coordinate</h3>

The polar form of a rectangular coordinate (x, y) is expressed as (rcos theta, r sin theta)

Given the coordinate (-2√3 , 2)

r = √(-2√3)²+2²

r = √12+4

r = 4

theta = tan^-1(-2/2√3)

theta = tan^-1(-1/√3)

theta = -30 degrees = 210 degrees

The  polar coordinates of the point whose cartesian coordinates is (-2√3 , 2) is (4cos210, 4sin210)

Learn more on polar coordinate here: brainly.com/question/14965899

#SPJ1

You might be interested in
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism that has a length of 9 feet, a width of 5 feet, and a height of 7.5 feet? 300 ft3 150
Deffense [45]

Answer:

The answer is 337.5.

Step-by-step explanation:

Srry Im late. :(

6 0
3 years ago
Read 2 more answers
67.1 minus 38.29 = <br> A. -105.39 <br> B. 28.81 <br> C. -28.81 <br> D. -44.352
zalisa [80]
67,1 - 38,29 = 28,81

B

5 0
3 years ago
5. Earl runs 75 meters in 30 seconds. How many meters does Earl<br> run per second?
Rudik [331]

Answer:

He runs 2.5 meters per second

Step-by-step explanation:

all you do is divide 75/30 and the answer is 2.5.

8 0
3 years ago
Add. 6 1/3 + 4 ¾ + 3 7/12 =
vodka [1.7K]
14 2/3 This is the answer! I know you will get this right buddy!
3 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELP ASAP WILL GIVE BRAINLIAST (GEOMETRY)
    8·1 answer
  • Analyze the end behavior of both functions.
    8·1 answer
  • Determine the solution set of (x - 4)2 = 12
    8·1 answer
  • Hello ya'll. I have a quick question to ask ya'll.
    12·1 answer
  • Show work! Simplify x 5 6 ⋅ x 1 3
    6·2 answers
  • Find the volume of the figure above.
    12·1 answer
  • HELP PLZZZS!!!!!!! EASY 10 points *easy*
    14·2 answers
  • I need help asap! This is a math pearson.
    13·2 answers
  • Please help fast I’d appreciate it! The slope of a line is 2. The line passes through (-1,K) and (4, 8) find the value of K. Ple
    13·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!