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
Tanzania [10]
3 years ago
7

Convert R=(12)/4+8sin the theta to rectangular form

Mathematics
1 answer:
kompoz [17]3 years ago
5 0
r=\dfrac{12}{4+8\sin\theta}=\dfrac3{1+2\sin\theta}

Let y=2\sin\theta, and recall that in polar coordinates, r=\sqrt{x^2+y^2}. This means you have

\sqrt{x^2+y^2}=\dfrac3{1+y}

You can stop there, or try to find something that looks somewhat nicer.

x^2+y^2=\dfrac9{(1+y)^2}
You might be interested in
a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and
jonny [76]

Answer:

1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.

Step-by-step explanation:

add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.

4 0
2 years ago
Find the product of the given complex number and its conjugate.<br> 1/5+4i
nasty-shy [4]

Answer:

-15.96

Step-by-step explanation:

A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)

Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."

Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."

Multiply the inner  numbers  ( the + 4i and the 1/5) to get + 60i. This is the "I."

Multiply the positive 4i and the negative 4i to get 16i squared

The positive 60i and the negative 60i cancel each other out.

The i squared changes into - 1. This makes the 16 negative.

Add 1/25 to - 16 to get - 15.96

4 0
3 years ago
Find m. Please guys I really need your help :(
vredina [299]

Answer:

m=\sqrt{2} inches

Step-by-step explanation:

From the diagram, it is given that the triangle is a right angle isosceles triangle (angles are 45°, 45° and 90°). This means that the two shorter sides of the triangle are equal in length and that the side m can be found by using the Pythagorean theorem a^{2}+b^{2}=c^{2}.

m^{2}+m^{2}=2^{2} (The two shorter sides of the triangle are equivalent)

2m^{2}=4

m^{2}=2

m=\sqrt{2} inches

I hope this helps :)

8 0
3 years ago
Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sket
malfutka [58]

Answer:

the slope is -4/5 and the y-intercept is 0

Step-by-step explanation:

3 0
2 years ago
What does the unit rate represent​
Furkat [3]

Answer:  rate is a ratio that is used to compare different kinds of quantities. A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

7 0
2 years ago
Other questions:
  • Please help, I'm struggling with this so much! (8n^5-3n^4-56n^2+13n)÷(8n-3)
    6·1 answer
  • Could someone please help me with this answer please thank you
    11·1 answer
  • Quarters make up what part of the group of coins ? Write the answer as fraction and word firm
    12·1 answer
  • X) = 5x^3 -2x and g(x) =3x^3. Find f(x) + g(x) &amp; state the domain!
    8·1 answer
  • HELP!!!
    9·1 answer
  • The quotient of 12 and the product of 5 and t
    5·1 answer
  • URGENT, PLEASE HELP!!!!
    6·1 answer
  • Henry collects rainwater for his garden. His tank.
    15·1 answer
  • 62 divided by 8,694
    12·1 answer
  • Which is the slope of the line that passes through the points (-5,6) and (-3,2)?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!