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
[+10x_7]+[9x+9] what answer of this if you simplify your answer
kumpel [21]

Answer:

10x_{7} +9x+9

4 0
3 years ago
Read 2 more answers
Amy uses two thirds of a yard fabric for each pillow she makes how many yards of fabric will she need in order to make 8 pillows
Aneli [31]
2/3 yard= 1 pillow

To find the total yards needed for 8 pillows, multiply 2/3 yard per pillow by 8 pillows.

= 2/3 * 8
multiply numerators; multiply denominators

= (2*8)/(3*1)

= 16/3
convert to a mixed number

= 5 1/3 yards needed


ANSWER: 5 1/3 yards is needed to make 8 pillows.

Hope this helps! :)
8 0
3 years ago
If the mass of a material is 43 grams and the volume of the material is 12 cm^3 what would the density of the material be
Setler79 [48]
Here, we have,
Mass = 43 g
Volume = 12 cm^3
Density = ?
Using Formula,
Mass = Density * Volume
=> 43 g = Density * 12 cm^3
=> Density = 43/12 g/cm^3
=> Density = 3.58333 g/cm^3
7 0
3 years ago
Last week, a coral reef grew 19.5 mm taller. How much did it grow in meters?
lianna [129]

0.0195

ANswer

Answer

Answer

8 0
3 years ago
Read 2 more answers
Need help &amp; Thank you !!!!
loris [4]

The right answer is of option D.

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment......

8 0
3 years ago
Other questions:
  • What does 5/15 equal
    9·2 answers
  • Which of these is an equation? 8t+4=76 8t+4 8z 8+4
    5·1 answer
  • Please help I'm giving 24 points. What is 9% of 16?
    14·2 answers
  • In the first pic ABC=DBE find value of x, ABC=DEF find F in the second one
    11·2 answers
  • If you were to use 22oz of milk ,how much milk would u need?
    6·2 answers
  • What is the surface area of this rectangular prism
    10·1 answer
  • Please helpppppppppppppp
    9·1 answer
  • A + 3 ≥ 2<br><br>a. a ≤ -1<br>b. a ≥ -1<br>c. a ≥ 1<br>d. a ≥ 5​
    13·1 answer
  • Someone please help (urgent)
    5·2 answers
  • The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!