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
Y_Kistochka [10]
3 years ago
6

ILL GIVE BRAINLIEST IF YOU ANSWER THEM

Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

Step-by-step explanation:

You might be interested in
How Do You Know How Many Places Are In Fifty Million Without Writing The Number In Standard Form
BartSMP [9]
Fifty million has 8 places
7 0
3 years ago
Can someone please please please help.?
Luden [163]

Answer:

<h2>43°</h2>

Step-by-step explanation:

In a cyclic quadrilateral, the sum of two opposite angles are equal.

m<R + m<P = 180°

plugging the values:

3y + 8 + y = 180°

Combine the like terms:

4y + 8 = 180°

Subtract 8 on both sides

4y + 8 - 8 = 180 - 8

Calculate the difference

4y = 172

divide both sides of the equation by 4

4y/4 = 172/4

calculate

y = 43°

Hope this helps...

5 0
3 years ago
Read 2 more answers
Which expression represents:<br> the sum of a number and 12<br> N 12<br> 1 x 12<br> 12 m<br> 12
marysya [2.9K]
Sum is the result of adding so
12 + x, but i don't see it as a option.
7 0
3 years ago
Name/ Uid:1. In this problem, try to write the equations of the given surface in the specified coordinates.(a) Write an equation
Gemiola [76]

To find:

(a) Equation for the sphere of radius 5 centered at the origin in cylindrical coordinates

(b) Equation for a cylinder of radius 1 centered at the origin and running parallel to the z-axis in spherical coordinates

Solution:

(a) The equation of a sphere with center at (a, b, c) & having a radius 'p' is given in cartesian coordinates as:

(x-a)^{2}+(y-b)^{2}+(z-c)^{2}=p^{2}

Here, it is given that the center of the sphere is at origin, i.e., at (0,0,0) & radius of the sphere is 5. That is, here we have,

a=b=c=0,p=5

That is, the equation of the sphere in cartesian coordinates is,

(x-0)^{2}+(y-0)^{2}+(z-0)^{2}=5^{2}

\Rightarrow x^{2}+y^{2}+z^{2}=25

Now, the cylindrical coordinate system is represented by (r, \theta,z)

The relation between cartesian and cylindrical coordinates is given by,

x=rcos\theta,y=rsin\theta,z=z

r^{2}=x^{2}+y^{2},tan\theta=\frac{y}{x},z=z

Thus, the obtained equation of the sphere in cartesian coordinates can be rewritten in cylindrical coordinates as,

r^{2}+z^{2}=25

This is the required equation of the given sphere in cylindrical coordinates.

(b) A cylinder is defined by the circle that gives the top and bottom faces or alternatively, the cross section, & it's axis. A cylinder running parallel to the z-axis has an axis that is parallel to the z-axis. The equation of such a cylinder is given by the equation of the circle of cross-section with the assumption that a point in 3 dimension lying on the cylinder has 'x' & 'y' values satisfying the equation of the circle & that 'z' can be any value.

That is, in cartesian coordinates, the equation of a cylinder running parallel to the z-axis having radius 'p' with center at (a, b) is given by,

(x-a)^{2}+(y-b)^{2}=p^{2}

Here, it is given that the center is at origin & radius is 1. That is, here, we have, a=b=0,p=1. Then the equation of the cylinder in cartesian coordinates is,

x^{2}+y^{2}=1

Now, the spherical coordinate system is represented by (\rho,\theta,\phi)

The relation between cartesian and spherical coordinates is given by,

x=\rho sin\phi cos\theta,y=\rho sin\phi sin\theta, z= \rho cos\phi

Thus, the equation of the cylinder can be rewritten in spherical coordinates as,

(\rho sin\phi cos\theta)^{2}+(\rho sin\phi sin\theta)^{2}=1

\Rightarrow \rho^{2} sin^{2}\phi cos^{2}\theta+\rho^{2} sin^{2}\phi sin^{2}\theta=1

\Rightarrow \rho^{2} sin^{2}\phi (cos^{2}\theta+sin^{2}\theta)=1

\Rightarrow \rho^{2} sin^{2}\phi=1 (As sin^{2}\theta+cos^{2}\theta=1)

Note that \rho represents the distance of a point from the origin, which is always positive. \phi represents the angle made by the line segment joining the point with z-axis. The range of \phi is given as 0\leq \phi\leq \pi. We know that in this range the sine function is positive. Thus, we can say that sin\phi is always positive.

Thus, we can square root both sides and only consider the positive root as,

\Rightarrow \rho sin\phi=1

This is the required equation of the cylinder in spherical coordinates.

Final answer:

(a) The equation of the given sphere in cylindrical coordinates is r^{2}+z^{2}=25

(b) The equation of the given cylinder in spherical coordinates is \rho sin\phi=1

7 0
3 years ago
which function is the inverse of f(x)=2x+3
LekaFEV [45]

Answer:

jssisvshdvdbd sjjsjdgdjd

Step-by-step explanation:

ususueuwgeieyevekeuecrjie r

4 0
3 years ago
Other questions:
  • What is the standard form of the number shown in this calculator display? The calculator shows five point nine three e negative
    14·1 answer
  • Complete. Express the product in simplest form.<br><br> 2/5 of 7/10 =
    14·2 answers
  • Which of the following correctly uses absolute value to show the distance between -50 and 12? A: |-50 - 12| = |-62| = -62 units
    8·1 answer
  • 0.123 × 0.007 = _______. A. 0.000861 B. 0.00871 C. 0.861 D. 0.000900
    9·2 answers
  • Solve for h.<br> -110 = 13 + 3 (4h - 6)
    13·1 answer
  • Pls help me and do this question marking brainliest
    12·1 answer
  • Find the value of x <br><br> a. 7.5<br> b. 6<br> c. 10<br> d. 8
    12·1 answer
  • How do i solve this question, please help and pls explain<br> a³x - x⁴ + a²x² - ax³
    9·1 answer
  • 4 2/5 divided by 3 1/7 euals plz give mixed number answer ty
    12·1 answer
  • 9⋅(3+5)+8÷2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!