The diagram shows a sphere with center O and a radius of 4 Inches that has been cut by a plane. The cross-section
formed by the plane is shaded.
Which shape is a possible representation of the cross section?

The Diagram Shows A Sphere With Center O And A Radius Of 4 Inches That Has Been Cut By A Plane. The Cross-sectionformed

Answers

Answer 1

Answer:

A circle.

Step-by-step explanation:

Ok, any plane has a vector normal to it.

Then the plane that cuts the sphere, has a normal vector.

If we draw that normal vector such that it passes through the center of the circle, we can think of this as the "axis" of a cylinder.

Such that when we step on any point of that vector, all the points of the spere that can be reached with a perpendicular line to the vector (like the radius in polar coordinates) are at the same distance of the vector.

Then we can conclude that when we cut a sphere with a plane, the cross-section will be always a circle.

Then the shape that is a representation of the cross-section is a circle.


Related Questions

Please help me with this problem

ln -3x + ln 4 = ln 58​

Answers

9514 1404 393

Answer:

  x = -29/6 = -4 5/6

Step-by-step explanation:

The equation simplifies to ...

  ln(-3x·4) = ln(58)

Taking antilogs, the equation becomes ...

  (-3x)(4) = 58

Dividing by -12 shows us the value of x.

  x = -58/12

  x = -29/6 = -4 5/6

__

The applicable rule of logarithms is ...

  ln(ab) = ln(a) +ln(b)

Answer:

7x - 4x = 21

3x = 21

x = 21÷3

x = 7

“Find two positive numbers such that the sum to 108, and the product of the first with the square of the second is maximum”

Answers

Answer:

36 and 72

Step-by-step explanation:

4.0/5.7=1.8/x what is the answer for u smart people

Answers

Answer:

here you go

Step-by-step explanation:

Answer:

2.565

Step-by-step explanation:

Hope that this helps!

Write the point -slope form of the equation of the line (-2,5), slope =6

Answers

Answer:

y - 5 = 6(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 6 and (a, b) = (- 2, 5) , then

y - 5 = 6(x - (- 2)) , that is

y - 5 = 6(x + 2)

In this activity, you will analyze a data set and answer some questions about the data. Warren works as a salesman at a used-car dealership. He maintains a log to track the number of vehicles he sells each day. Warren is paid a commission for each car he sells. He needs to know how many cars he sold last month so he can calculate his commission. The table shows the data he has recorded in the log book for the month.
please help

Answers

This answer will be 17

Answer: the answer is 17..hope this helps yall :D

Step-by-step explanation:

Help me help me help me help me… but ignore the 21.5 that was wrong

Answers

Answer:

16.2

Step-by-step explanation:

a²+b²=c²

a=10, b=y, c=19

100+y²=361

y²=361-100

y²=261

√y²=√261

y=√261

y=16.2

un atleta recorre 6 km por hora al cabo de 4 horas qué distancia ha recorrido​

Answers

24

6x4

-

6

+

6

+

6

+

6

=

24

4x6

=

24

Using no other digits except 2 and 5 write down, if possible, a three-digit multiple of 3 but not of 6

Answers

Answer:

225

Step-by-step explanation:

225/3 = 75

225/6 = 37.5 (since this is not a whole number it's not a multiple of 6)

Final answer = 225

Hope this helps!

The answer is going to be 225

Which fraction is the largest

Answers

Answer:1/5

Step-by-step explanation:

Answer:

no.D 2/3 is the answer I hope this will help you

Chapter 6 Introduction to Variables and Evaluating Expression
Mathematics, Algebra 1
Question 1
Simplify: -2s - 9+7 - 5r use s = 3 and r= -8

Answers

I would say the answer is -62. Hope this helps

The Sine Function

A sine curve is periodic. What does this mean?

a. the curve goes through one cycle and starts over
b. there is no pattern
c. the amplitude stays the same
d. one period equals 180 degrees

Please select the best answer from choices provided

Answers

Answer:

A. The curve goes through one cycle and starts over

Step-by-step explanation:

I calculated it logically

I need help like right now. Im brain dead

Answers

Answer:

y-intercept: [tex](0,-\frac{5}{2} )[/tex]

x-intercept: [tex](-2,0)[/tex]

Step-by-step explanation:

Hi there!

Important things to note:

the y-intercept occurs when x=0the x-intercept occurs when y=0

1) Find the y-intercept

[tex]-5x-4y=10[/tex]

Substitute x with 0

[tex]-5(0)-4y=10\\0-4y=10\\-4y=10[/tex]

Divide both sides by -4

[tex]\frac{-4y}{-4} =\frac{10}{-4} \\y=-\frac{5}{2}[/tex]

Therefore, the y-intercept is [tex]-\frac{5}{2}[/tex]. When written in (x,y) form, x will always be 0 while y is the y-intercept:

[tex](0,-\frac{5}{2} )[/tex]

2) Find the x-intercept

[tex]-5x-4y=10[/tex]

Substitute y with 0

[tex]-5x-4(0)=10\\-5x-0=10\\-5x=10[/tex]

Divide both sides by -5

[tex]-5x=10\\\frac{-5x}{-5}= \frac{10}{-5} \\x=-2[/tex]

Therefore, the x-intercept is -2. When written in (x,y) form, x will always be the x-intercept while y is always 0:

[tex](-2,0)[/tex]

I hope this helps!

what will be the prime minister if the length and breadth of a rectangle are (3a +2) and (2a - 1)​

Answers

Answer:

2"(3a+2)+(2a-1)"

Step-by-step explanation:

2(5a+1)

10a+2

Which set of numbers could represent the lengths of the sides of a right triangle?
O 8, 9, 10
O 15, 18, 21
O 7, 24, 25
09. 11. 14

Answers

Answer:

7 24 25

because , according to Pythagorean triplet....

Kyle is buying a $220 bicycle if the bicycle is on sale for 35% off how much will he save

Answers

Answer:

$77

Step-by-step explanation:

Okay so first, we know that the bicycle is 220 dollars. So we got to  multiply that to the percent. We can't muiltiply it into the percent yet so we turn that percent into 0.35

220 * 0.35

This equals to 77. That's the answer but it's not that simple, cause we aren't finished!

So we know that 35 percent of 220 is 77 dollars. So subtract that to 220!

220 - 77

This is equal to 143. Now how much will he save? He will save 220 - 143, which is 77! That's how we know the answer! I'm sure this is correct, if itsn't please comment! Have a great day!

Answer:

$143

Step-by-step explanation you wanna see how much 35% is out of 220

35% = 0.35

220 * 0.35 = 77 = discount

Now you want to see how much it will be when the discount is applied

220-77 = 143

The bicycle is $143 when discount is applied, you save $77

From the equation, find the axis of symmetry of the parabola. y = 3 x squared minus 12 x + 11 a. x = negative 2 c. x = 1 b. x = 2 d. x = negative 1 Please select the best answer from the choices provided A B C D

Answers

Answer:

the axis of symmetry would be: b. x=2

The equation of the axis of symmetry of the parabola will be x = 2. Then the correct option is B.

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = 3x² - 12x + 11

Convert the equation into a vertex form. Then we have

y = 3x² - 12x + 11

y = 3x² - 12x + 12 - 1

y = 3(x² - 4x + 4) - 1

y = 3(x - 2)² - 1

The equation of the axis of symmetry of the parabola is given as,

x - 2 = 0

x = 2

The equation of the axis of symmetry of the parabola will be x = 2. Then the correct option is B.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ2

Solve the system of equations.

{y=30x+10y=5x2−25

I need major help!!! Please!!!!

Answers

It should be (X,Y)=(15/8,-25/4)

In a basketball game, Ellen scores 20 more points than Kevin, and Kevin scores three times as many points as Bob. If 48 points were scored in total by these three players, how many points did Kevin score?

Answers

Kevin scored 12 points. Ellen scored 32 and Bob scored 4.

Which of the following pairs of triangles can be proven congruent through SSS?
A)
B)
C)
D)

Answers

It would be b because that is the pair of triangles that can be proven congruent through sss

A baseball player hit 67 home runs in a season. Of the 67 home runs, 21 went to right field, 25 went to right center field, 11 went to center field, 8 went to left center field, and 2 went to left field. What is the probability that a randomly selected home run was hit to right field?

Answers

Answer:

21/67 will be the probability.

Step-by-step explanation:

Ok so the player hit 67 home runs. An there was 21 which was hit to right field, so it will be 21/67

What is the product? (4x) (-3x^8)

Answers

Answer:

the product of (4x) (-3x^8)=-12x^9

Answer:

-12x^9

Step-by-step explanation:

multipy :)

Three siblings share two cookies equally.which choice represents how many cookies each sibling get? A.1/3 b.2/3 c.3/2 d.6 cookies

Answers

Answer:

3/2 cookies

Step-by-step explanation:

3 divided by 2 = 3/2 = 3/2

Hope this helps!

Find the sum of the first 45 terms of the following series, to the nearest integer. 9 + 13 + 17 ...​

Answers

Answer:

ᴘᴏᴛᴀʜ 2329 ᴛʜᴀᴛs ᴛʜᴇʙᴇǫᴜᴏᴀʟ sᴅᴅ

Answer:

4365

Step-by-step explanation:

Please answer this question needed ASAP !

Answers

Answer: None of them. It should be 150 degrees.

See the explanation below for more details

==========================================================

Explanation:

To convert from radians to degrees, we multiply by the factor (180/pi)

The formula we can use is

y = (180/pi)*x

where x is the angle in radians, and y is the angle in degrees

Plug in x = (5/6)pi and evaluate

y = (180/pi)*x

y = (180/pi)*(5/6)*pi

y = (180/pi)*(5pi/6)

y = (180*5pi)/(pi*6)

y = (180*5)/(6)

y = (6*30*5)/(6)

y = (30*5)/(1)

y = 150

So the angle (5/6)pi radians, aka 5pi/6 radians, is equivalent to 150 degrees. Unfortunately this answer choice isn't listed. You'll have to let your teacher know there's a typo somewhere.

Helpppp plzzzzzzzzz !!!!!!

Answers

Answer:

the 3rd box

Step-by-step explanation:

Answer:

[tex]5^{-1}[/tex]

Step-by-step explanation:

5⁻⁴ ÷ 5³

Since they have the same base we can combine the exponents. Since we have a division sign, we add the exponents

5⁻⁴⁻³

5⁻¹

In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.26% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2022?

(Round to the nearest whole number.)

Answers

Answer:

30,122

Step-by-step explanation:

This probably isn't the fastest way to solve but....

28,337x1.26%= 357

357x5=1785

28,337+1785=30,122

The 5 came from the # of years the population is increasing

We are required to find the population of Rexburg will be in the year 2022

The population of Rexburg will be in the year 2022 is 30,122 people

Given:

2017 population = 28,337 people

Growth rate per year = 1.26%

let

n = number of years between current and predicted

= 2022 - 2017

n = 5 years

Yearly growth rate = 28,337 × 1.26%

= 28,337 × 0.0126

= 357.0462

Predicted population in 2022 = 2017 population + (357.0462 ×5)

= 28,337 + 1,785.231

= 30,122.231

Approximately, 30,122 people in 2022.

Therefore, the population of Rexburg will be in the year 2022 is 30,122 people

Read more:

https://brainly.com/question/20396348

Write in Expanded form: 75,300,207

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]75, 300, 207[/tex]

⎆ In expanded form :-

[tex]70,000,000 + 5,000,000 + 300,000 + 0 + 0 + 200 + 0 + 7[/tex]

# ꧁❣ RainbowSalt2²2² ࿐

SOMEONE HELP PLZ!! just need to know what the domain and range is!

Answers

Answer:

C.

Step-by-step explanation:

The Domain is 1,2,3,4,5,6 because the line passes through there. The y-intercept is 1,2,3,4,5,6,7 because that is where it passes through.

If this helps please mark as brainliest

4. Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?​

Answers

Answer:

361,899

hope this helps

Answer:

350,000

Step-by-step explanation:

1,500,000 - 1,138, 101 = 361,899

361,899 - 350,000 = 11,899

400,000 - 361,899 = 38,101

11,899 is less than 38,101

So, 350,000 is the answer.

When
3(x)
= 4 is solved for x in terms of w and kits solution is which of the following?

Answers

How was your day todayAnd tomorrow and Thursday and Friday Saturday Sunday Monday Tuesday Wednesday
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