A plane intersects a sphere with a volume of about 44.6 cubic meters through the center of the sphere. What is the area of the cross section to the
nearest tenth?

Answers

Answer 1
From the above definition, we can say that the cross-section, as a result of the plane intersecting the sphere through its centre, will be a circle with the radius "r" same as that of the given sphere. Thus, the area of the cross section is 15.2 m²

Related Questions

Math
On a grid, a middle school is located at ( − 5 , 3 ) , and a library is located at ( 2 , 3 ) . If 1 unit represents 1 mile on the grid, how far is the library from the middle school?

Answers

Answer:

14 miles

Step-by-step explanation:

there are 14 units in between point (-5,3) and (2,3), and since each unit is 1 mile it would be 14 miles.

3x + 2y = 5
x = 2y + 7

Answers

Answer:

I hope this helps you...

please mark me as brainliest..

Make a tree diagram to show sample space. Then select the total number of outcomes.
choosing black, blue or brown socks with boots, gym shoes or dress shoes
a. 3
C. 9
b. 6.
d. 12
PLEASE HELP

Answers

Answer:

C. 9

Step-by-step explanation:

3 sock options, 3 shoe options for each of those sock options.

3 x 3 = 9

A group of friends wants to go to the amusement park. They have no more than $90 to spend on parking and admission. Parking is $16.50, and tickets cost $10.50 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.

Answers

The inequality representing p, the number of people who can go to the amusement park, is given as follows:

10.5p + 16.5 ≤ 90.

How to build the inequality?

The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:

C(p) = mp + b.

In which the parameters are given as follows:

m is the slope, representing the cost of the ticket per person.b is the intercept, representing the cost of parking.

Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:

m = 10.50, b = 16.50.

Thus the cost function is given as follows:

C(p) = 10.5p + 16.5.

They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:

C(p) ≤ 90.

10.5p + 16.5 ≤ 90.

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Is 5'2 a solution to a system of equations?

Answers

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Now, According to the question:

Let's know:

Solution to a System of Linear Equations:-

A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

Let's determine whether the given points are a solution to the systems of equations below.

Is the point (5, -2) the solution of the system of linear equations shown in the graph below?

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

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The owner of a mall retaurant bought 75 kilogram of rice. Each week, the retaurant ue 4. 5 kilogram of rice. Function r give the remaining amount of rice, in kilogram, a a function of the number of week ince the retaurant owner bought the rice. 1. Complete the table. Clear All

Answers

function f(x) = 75 - 4.5 w.

where w = number of weeks.

this question is related to function and solution is as follows,

The owner of a mall Restaurant bought rice = 75 kg

Each week, the restaurant use rice = 4. 5 kg

so we have to make an equation of function by which we can find out the remaining rice after w number of weeks,

f(x) = 75 - 4.5 w

where ,w = number of weeks

example, find out rice after 6 weeks

number of weeks (w) = 6

put it in the function,

f(x) = 75 - 4.5(6)

f(x) = 75 - 27

f(x) = 48.

so the function is ,f(x) = 75 - 4.5 w.

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Compare the two linear functions listen below

Answers

The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope

How to find the slope of a linear function?

The slope is simply defined as the change in the y-values divided by corresponding change in x-values.

1) Now, the formula for the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Let us take two coordinates from the table as;

(0, 50) and (1, 46). Thus;

Slope = (46 - 50)/(1 - 0)

Slope = -4

2) The general equation for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are given the equation as;

c = 2d + 10

Comparing to the standard form, we have;

Slope = 2

Thus, function 1 has a negative slope

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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h(t) at time t seconds after launch is h(t) = -16t2 + 80t. a. Find the vertex. Explain what this means in the context of the situation

Answers

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =[tex]\frac{-b}{2a}[/tex]

Where 'a' is coefficient of [tex]t^{2}[/tex] term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =[tex]\frac{-80}{2(-16)}[/tex]

                                =-2.5

y-coordinate of vertex =[tex]-16(-2.5)^{2} +80(-2.5)[/tex]

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

Order of operation help I have 4 min left on my timer . NO LINKS

Answers

Answer:

13

Step-by-step explanation:

Just In case you want explanation-

1. 4 squared Meaning 4 x 4 = 16

2. 16 x 6 = 96

3x 6 = 18

96- 18 = 78

in the denominator, 25/ 5 = 5

11 minus 5 = 6

78 divided by 6

it gives you 13

Answer:

13

Step-by-step explanation:

Order of operations:

Parenthesis, exponents, multiplication and division, addition and subtraction

david mowed 2/3 of the yard in 1/2 hour how long will it take him to mow the whole yard?

Answers

Answer:

Step-by-step explanation: It would take him 15 minutes more to mow the whole yard

1/2 hour is 30 mins divided by 2 which is 15 mines times 3 is 45 mins total mins

`y=7/(1,000)-(9x)/8` whats the y incercept

Answers

Answer = 7/1000 because when you write the given equation in y=Mx + b form, it’s written as -9/8x + 7/1000 and b represents the y-intercept

A car is traveling at a speed of 61 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 20 minutes? Do not round your answers.

Answers

The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.

What is speed?

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A car is traveling at a speed of 61 kilometers per hour.

Convert the speed into a kilometer per minute. Then we have

Speed = 61 / 60

Speed = 1.01667 kilometers per minute

Then the number of kilometers will the car travel in 20 minutes will be given as,

1.01667 = d / 20

d = 1.01667 x 20

d = 20.33 kilometers

The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.

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Will give brainliest if right

O C. 65
O D. 50

Answers

Answer:

D

Step-by-step explanation:

istg if one of yall roasts my dirty calculator

A large chain of stores places an order for 7,000 packages of hair clips to be evenly distributed among 40 different stores. If 12 hair clips come in one package, how many hair clips will each store receive?

Answers

7,000x12/40=2100 hair clips
Each store will receive 2100 hair clips.

Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies. How many bags of flour does it take to make 3 batches of the cookies?

Answers

Answer:

12/7 or 1 5/7

Step-by-step explanation:

2/7=1/2, so 4/7=1. multiply 4 by three, since one times three equals three.

Which is a recursive formula for the sequence 99. 4, 0, –99. 4, –198. 8, where f(1) = 99. 4? f(n 1) = f(n) 99. 4, n ≥ 1 f(n 1) = f(n) – 99. 4, n ≥ 1 f(n 1) = 99. 4f(n), n ≥ 1 f(n 1) = –99. 4f(n), n ≥ 1

Answers

A recursive formula for the sequence is:  f(n+1) = f(n)-99.4, n ≥ 1

Consider the given sequence.

99.4, 0, -99.4, -198.8, . . .

We can observe that each next term of the sequence is decreased by -99.4

i.e., f(0) = 99.4

f(1) = f(0) - 99.4

f(1) = 99.4 - 99.4

f(1) = 0

f(2) = f(1) - 99.4

f(2) = 0 - 99.4

f(2) = -99.4

From these calculations we can say that the n-th term would be,

f(n) = f(n - 1) - 99.4

Therefore, recursive formula:  f(n+1) = f(n) - 99.4

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Find the measure of the indicated angle. Need help please.
I need explanation too
PLEASE NO LINKS I WILL REPORT YOU

Answers

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

a candy store makes a 9-pound of gummy candy jelly beans and hard candy the cost of gummy candy is $2.00 per pound jelly beans cost $3.00 per pound and hard candy costs $3.00 per pound the mixture calls for two times as many gummy candy pieces as jelly beans the total cost of the mixture is $23.00 how much of each ingredient did the store use? please show explanation

Answers

Answer: 4.5 jelly beans

Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$

convert 20% profit into profit amount

Answers

Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

Solve for x. Leave your answer in simplest radical form.
15 in
X

Answers

Answer:

√124

Step-by-step explanation:

a^2+b^2=c^2

x^2+101= 225

x^2= 225-101

x^2= √124

Order these numbers from least to greatest.
6.1031, 6.203, 6.1, 6.23

Answers

Answer:

6.2300, 6.2030, 6.1031, 6.1000

Step-by-step explanation:

Answer:

6.1, 6.1031, 6.203, 6.23

Question 1
Find the distance: Speed = 99 km/h,
Time = 40 mins

Answers

Distance = speed x time

Distance = 99 x 40

Distance = 3,960

Answer:

40 minute = 40 : 60 hours

= 4/6 [÷10]

= 2/3 [÷2]

distance = speed × time

distance = 99 kilometers/hours × 2/3 hours

distance = 33 × 2

distance = 66km

PLEASE HELP 10 POINTS

Answers

Answer:

9.75

Step-by-step explanation:

3/4 |1/3x+2| < 6

you can turn the < into a =

then subtract 3/4 from 6 which leaves you with 5.25. And since you know 2 will always be positive because it's in an absolute value bracket 5.25-2=3.25. Which leaves you with

|1/3x| = 3.25

then do 3.25/(1/3) which leaves you with 9.75

:)

Find the missing length. Round to the nearest tenth.
HELP PLEASE!!

Answers

7.6

Use the Pythagorean theorem

3^2 + 7^2 = c^2

9 + 49 = 58

square root of 58 =

7.615

6x + 2y = 25.92 4x + 3y = 33.93 Solve for x and y

Answers

Answer:

y = -3x + 12.96

y = [tex]\frac{-4}{3}[/tex] x + 11.31

Step-by-step explanation:

6x + 2y = 25.92  Subtract 6x from both sides

2y = -6x + 25.92  Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93  Subtract 4x from both sides

3y = -4x + 33.93  Divide all the way through by 3

y = [tex]\frac{-4}{3}[/tex] x + 11.31

Mr.martland decides the length of his square vegetable garden will be 17 ft. He calculates that the area of the garden is 34 ft^2. is he correct?

Answers

Answer:

Nope

Step-by-step explanation:

If it is a square garden, all sides are equal. Area would be 17x17 and that would equal [tex]289^{2} ft[/tex] not 34

Someone help plz make sure it’s right plz will mark brainiest

Answers

Answer:

Your answer is B, or the second one from the left

Answer: It would be the 2nd choice

please help:
find BP​

Answers

Answer:

so i will be honest I've done this before and it may be 64 or 120

Step-by-step explanation:

It may be one of these answers I'm doing as much as I can to help

Dodie wants to plant roses in her triangular plot. There will be 11 plant at a corner. Starting from that corner, each row will have 55 more plants than the row before it. She has 160160 rose plants and wants the plot to have as many rows as possible. How many rows will Dodie's plot have

Answers

Solving provided question, we can say that by arithmetic progression number of rows Dodie's plot has, n ≈ 7.3965

what is arithmetic progression?

The difference between succeeding terms in a sequence is always the same, and this is known as an arithmetic progression. An arithmetic progression with a tolerance of 2 is, for instance, the sequence 5, 7, 9, 11, 13, and 15. The term "arithmetic progression" (A.P.) refers to a progression with a fixed tolerance between any two consecutive values. Mathematic progression can be of two different types: arithmetic series with finite length A series with a finite amount of terms is a finite geometric progression. The terms in the series can be used to determine the early, late, tolerance, and number of terms.

d = 6 is the difference between subsequent rows.

The value increased to a = 1 at the top vertex.

Consequently, the garden's roses represent a mathematical progression.

A = 1 is the first phrase.

d = 6 is the common difference.

The sum of the n terms in an arithmetic progression,, is what determines how many rows Bill's plot will contain.

When Sₙ = 150, we get;

150 = 3·n² - 2·n

3·n² - 2·n - 150 = 0

number of rows Dodie's plot has, n = 7.3965

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help ill give brainiest <3 dont guess

Answers

Answer:

rectangular prism, 6 faces, 8 vertices

Answer:

The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.

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