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
ikadub [295]
3 years ago
7

Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)

Mathematics
1 answer:
Vilka [71]3 years ago
3 0
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
You might be interested in
When you add two odd numbers together, the answer is:
Mashcka [7]

Answer:

1. Even - B

2. Even - B

3. Odd - A

Step-by-step explanation:

Example 1: 7+7 = 14

7 is odd, 14 is even.

Example 2: 4 + 4 = 8

4 is even, and 8 is even.

Example 3: 4 + 5 = 9

4 is even, 5 is odd, 9 is odd.

3 0
3 years ago
Read 2 more answers
Jessica went to the grocery store and purchased a box of cereal for $3.75, milk for $1.50, and bread for $2.25. She paid with a
Aleks [24]

Answer:

12 dollers and 50 cents

Step-by-step explanation:

3 0
3 years ago
A watering can dispenses water at a rate of 0.40 gallon per minute. The original volume of water in the can was 10 gallons. Whic
andreev551 [17]
The correct answer is B.
3 0
3 years ago
Read 2 more answers
Annalee hammered in nail into a piece of wood each time she hammer the nail it went to 1/8 Inch deeper into the word if she hamm
mash [69]

Answer: 0.5 inch

Step-by-step explanation:

Given

On hammering nail advances \frac{1}{8}\ inch  each time

Annalee hammered 4 times

So, total advancement of nail= 4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch

3 0
2 years ago
Maths problem
Fudgin [204]

Answer:

250 x 3 = 750g

750g is your final answer

7 0
3 years ago
Read 2 more answers
Other questions:
  • What two consecutive numbers have a product of 22952
    7·2 answers
  • Identify the property or rule shown by each equation
    7·1 answer
  • How to you convert 20 degrees to radians?
    12·2 answers
  • Ance ate a salad and Four-fifths of a turkey burger for dinner. The salad contained 80 calories and his entire meal contained 44
    12·2 answers
  • Don’t know what the answer is
    11·1 answer
  • Find x. Write your answer in simplest radical form.
    11·1 answer
  • Plss help for brainlist
    10·1 answer
  • Whats the solution of 6x+18=12x.
    9·2 answers
  • Determine whether each data set represents a function. Part A and B
    8·1 answer
  • X + y 6x - 4y - 2 simplified?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!