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
xxTIMURxx [149]
3 years ago
15

There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y

ratio is 3:1. What is a possible coordinate?
Mathematics
1 answer:
abruzzese [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Suppose the radius is 1. The parametric equations for the circle are

x = cosθ

y = sinθ

x:y = 3:1

tanθ = ⅓

cosθ = 3/√(1²+3²) =  3/√10

sinθ = 1/√10

The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).

You might be interested in
The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
Cedric and Insha solved the same equation using the calculations below.
Mariulka [41]

The first working out is correct, z = 3

3 0
3 years ago
15 POINTS can someone please help me with this?
jarptica [38.1K]
X=55 Explanation: the square is a right angle symbol and that means the angle is 90 degrees so just subtract 35 from the 90 to get x
8 0
3 years ago
If f(n)=(n-1)2+<br><img src="https://tex.z-dn.net/?f=f%28n%29%20%3D%20%28n%20-1%292%20%2B%20%20%20%203n" id="TexFormula1" title=
Liono4ka [1.6K]

Distribute the 2 first.

f(n) = 2n - 2 + 3n

Combine like terms.

f(n) = 5n - 2

8 0
3 years ago
Two dices are tossed. What is probability that you will see even numbers on both dices? Answer should be in reduced
zimovet [89]

Answer:

3/6

Step-by-step explanation:

Well 3 is half of 6 and if you were to turn that into a fraction it would either be 3/6 or 1/2.

8 0
3 years ago
Other questions:
  • Mr. Watkins earns $35 an hour at his new job. During a typical month, he works a total of 160 hours. Mrs. Watkins is a homemaker
    12·1 answer
  • (2xy-7)/3x+8=1 solve for y
    9·1 answer
  • a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1inch. describe the dimensions of carton of the carton using
    6·1 answer
  • Estimate a 15% tip for a $26.40 restaurant bill
    11·1 answer
  • Can someone make me a histogram for this set of data. If you do I’ll mark u as the Brainliest
    6·2 answers
  • graph the equation y = -x^2 + 10x - 16 on the accompanying sex of axes. you must plot 5 points including the roots and the verte
    14·1 answer
  • Cullumber Company, a machinery dealer, leased a machine to Dexter Corporation on January 1, 2020. The lease is for an 8-year per
    13·1 answer
  • Find the slope of the line that passes through ( 10, 97) and (-11, 2).
    5·1 answer
  • Need help please snazzy fast
    13·1 answer
  • What is a general pattern in data
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!