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
Liula [17]
3 years ago
12

How do you eliminate the parameter theta to find a Cartesian equation of the curve: x=sin(1/2 theta), y=cos(1/2 theta), 0 is les

s than or equal to theta and theta is less than or equal to 4pi
Mathematics
1 answer:
kiruha [24]3 years ago
6 0
The answer to the problem is as follows:

x = sin(t/2) 
<span>y = cos(t/2) </span>

<span>Square both equations and add to eliminate the parameter t: </span>

<span>x^2 + y^2 = sin^2(t/2) + cos^2(t/2) = 1 </span>

<span>The final step is translating the original parameter limits into limits on x and y. Over the -Pi to +Pi range of t, x varies from -1 to +1, whereas y varies from 0 to 1. Thus we have the semicircle in quadrants I and II: y >= 0.</span>
You might be interested in
Joesphine scored 95, 84, and 87 on three math tests. She wants her average score for 5 tests to be at least 90.
attashe74 [19]

Answer:

The answer for part B is I think 92 and 92. And for part A she could get 97 and 97 as the test average would be 92.

Step-by-step explanation:

I kinda explained it in the answer yeah but I hope that helps.

7 0
3 years ago
Graph the functions y=.05x
lisabon 2012 [21]
The slope is .05
the y intercept is 0

6 0
3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is
Dmitry_Shevchenko [17]
Fidn volume
V=hpir^2
d/2=r
1.4/2=0.7=r
height=3.5
V=3.5*3.14*0.7^2
V=5.3851

1.5 times t=5.3851
divide both sides by 1.5
t=3.59
round
t=4

4 minutes
6 0
3 years ago
a store has a sale where all shirts are sold at a discount of 20% if the regular price of the shirts is $20, how may shirts coul
Elena-2011 [213]

Answer:

15 shirts.

Step-by-step explanation:

A 20% discount means you still pay 80% of the price.

x represents the number of shirts that can be bought.

(20 x (1-0.2) )x = 240 or (20 x .8)x = 240

16 x = 240

x = 240/16 = 15

7 0
3 years ago
13 points!!! <br><br> 34ft 4in - 8=
vredina [299]
If feet:
34' 4" - 8' = 26' 4"

if inches: = 33' 8"

5 0
3 years ago
Read 2 more answers
Other questions:
  • Item 4 Evaluate. 6^2+(3⋅4)− 2^4
    12·2 answers
  • Find the slope of the line: the length of a bus route is 4 miles long on the sixth day and 4 miles long on the seventeenth day.
    8·1 answer
  • Triangle PQR is a right triangle. if PQ= 8 , what is PR?
    6·1 answer
  • Katrina's bank statement shows a closing balance of $140.62 There are no outstanding checks or deposits. Her checkbook shows a b
    10·1 answer
  • Anna plans a business model to compete with two video stores, where she hopes to draw in customers from one store but not lose m
    15·2 answers
  • A large aquarium of water is being filled with a hose. Due to a problem, the sensor does not start working until some time into
    11·1 answer
  • &gt;Don’t have to show the number line&lt;
    11·1 answer
  • Given the net with dimensions below, find the surface area of the shape.
    7·1 answer
  • Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +
    7·1 answer
  • Pls help, i will give brainiest if you do!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!