A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm​

Answers

Answer 1

Answer:

20 cm

Step-by-step explanation:

Use the formula

A=4πr^2

Solving for radius

[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441

Answer 2

We are given –

[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]

A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–

[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]

Just use the formulas for the sphere's area to determine the radius.

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]

Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].


Related Questions

Use the distributive property to rewrite as an expression
5(x+3)

Answers

Answer:

5x+15

Step-by-step explanation:

you mulityply 5*x and 5*3

A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

V = 87.92 cubic cm

Step-by-step explanation:

V(cyl) = πr²h

V = 3.14(2²)(7)

V = 87.92

Would someone help me out?
A)56.6
B)58.4
C)53.5

Answers

Answer:

it is c

Step-by-step explanation:

help me please???????​

Answers

Answer:

we have to know what your element is to help you answer this question

its about drive
its about power
we stay hungry
we devour

Answers

Answer:

AYYYYY GET IT !!!!

Step-by-step explanation:

Answer:

put in the work put in the hour and take what's ours

Step-by-step explanation:

How can you split 20 into 3 groups

Answers

The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20

I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.

Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.

(-r-5)-(-2r-4) help me solve pls lol

Answers

answer:

[tex]r - 1[/tex]

Step by step explanation:

Step 1: Distribute

[tex]( - r - 5) - ( - 2r - 4) \\ ( - r - 5) + 2r + 4[/tex]

Step 2: Eliminate redundant parenthesis

[tex]( - r - 5) + 2r + 4 \\ - r - 5 + 2r + 4[/tex]

Step 3: Add numbers

[tex] - 3 \purple{ - 5} + 2r + \purple{4} \\ - r \purple{ - 1} + 2r[/tex]

Step 4:Combine like terms

[tex] \purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1[/tex]

Step 5:Multiply by 1

[tex]1r - 1 \\ r - 1[/tex]

Hopefully it's help

I copy MissJoy2 answer cuz her/his answer is right

A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6

Answers

Okay wait for a moment I’ll give u the answer

Simplify.

(–12x) ÷ (–2)


6x


12x


3x


112x

Answers

hope this helps. leave a comment if you have a question.

Hello there!

Question:-

[tex]( - 12x) ÷ ( - 2)[/tex]

This is an algebraic expression.We need to find the result of it.

Solution:-

[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]

This algebraic expression may be rewritten as:-

[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]

Cancel the minus (-) sign:-

[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]

Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-

[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]

[tex]\sf \longmapsto6x[/tex]

Option A

______________________________________

Henceforth the value of the algebraic expression is:

[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]

Option A is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.

Answers

The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]

are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

The system of equations is given as:

[tex]2x+ 4y = 14[/tex]

[tex]4x + y = 20[/tex]

Multiply both sides of the equations by -4.

So, we have:

[tex]-4 \times (4x + y) = -4 \times 20[/tex]

Distribute the expression

[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]

Evaluate all products

[tex]-16x -4y = -80[/tex]

So, we have the following system of equations

[tex]2x+ 4y = 14[/tex]

[tex]-16x -4y = -80[/tex]

Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

Read more about equivalent equations at:

https://brainly.com/question/9603710

Hi! Can somebody please help me? I have been stuck on this question for too long now.

Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple. Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2. Explain your findings.

The Set of Pythagorean triples:
x-value Pythagorean Triple
7 (14,48,50)
8 (16,63,65)
9 (18,80,82)
10 (20,99,101)

Answers

Answer:

its 7

Step-by-step explanation:

when using the zero product rule you know at least one of the factors must equal *blank*

Answers

Answer:

The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0.

Step-by-step explanation:

Answer:

when using the zero product rule you know at least one of the factors must equal 0 because and most places anything that is put with zero equal zero because zero have no value

Step-by-step explanation:

name the relationship of these angles

Answers

1) linear pair
2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical

is this a function

Find the domain and range

Answers

Answer:

Yes

Domain: 1, -1, 0, -3, 3

Range: 1, -1, 6

Step-by-step explanation:

The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function

A racing track is shaped like an oval. Each time around
the track is 1.2 miles. The total distance for the
race is 480 miles.
What percentage is one lap around the track of
the total race?
(b) How many laps will it take to complete 75% of the
race?

Answers

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

360/1.2=300

the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons​

Answers

The atom's place on the table is determined solely by its number of protons

A periodic table is a table containing different elements and arranged across the periods and groups of the table.

The elements in a periodic table are numbered and arranged based on their atomic number.

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

Learn more about periodic table here;https://brainly.com/question/14514242

Answer:

number of protons

Step-by-step explanation:

Write an equation for the proportional relationship shown in the table.

Answers

Answer:

y = 14x

Step-by-step explanation:

First Way of Finding the Equation:

We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).

[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]

So, this proportional relationship has an equation of y = 14x.

Second Way of Finding the Equation:

Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.

From this information, we know that the equation must be y = 14x.

Hopefully that's helpful! :)

How do we get 144 here?

Answers

Answer:

the correct answer is supposed to be 120, your almost there :)

Step-by-step explanation:

Question 30 of 56
Is this relation a function? Justify your answer

Answers

Answer: No, this relation is not a function.

Step-by-step explanation:

Two of the points with the same Y axis have different X values (as stated in answer A)

in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games​

Answers

7 students because 18 + 1 + 7 = 26
33 - 26 = 7

HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?​

Answers

Answer:

Step-by-step explanation:

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.

Let's try it with the fractions

2

3

and

3

12

12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.

Now you have the following:

8

12

and

3

12

These fractions now have common denominators! Now they're all set for adding or subtracting fractions.

Try another:

2

6

and

3

5

: The least common multiple of 6 and 5 is 30. (the product of the denominators)

Transform each fraction by multiplying by "1":

2

6

5

5

=

10

30

and

3

5

6

6

=

18

30

One last problem:

4

9

and

7

6

What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!

4

9

2

2

=

8

18

and

7

6

3

3

=

21

18

Ready to go...

Hope this helped!

GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?

Answers

Answer:

The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.

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

Select the first option, have a nice day! :D

a pair of shoes is 80 dollars they are %25 off. how much money is %25 of 80 dollars

Answers

Answer

55$

Step-by-step explanation:

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.

Answers

The description of the intersection of plane A and plane B is line CD

From the question (see attachment for the diagram of both planes), we have the following highlights

Point C is on plane A and plane BPoint D is on plane A and plane B

Both planes meet at the line that joins points C and D.

Hence, the description of the intersection of plane A and plane B is line CD

Read more about planes and lines at:

https://brainly.com/question/13099718

Answer:

The first answer, CD, is correct.

Edg, 2023

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

2

Step-by-step explanation:

3:1=6:2

They buy 2 pepperoni pizzas.

how to solve x^2+x-90=0 in completing the square method​

Answers

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9   or   x = -10

I need help i don't understand/

Answers

Answer:

1. A

2. C

Step-by-step explanation:

If they are corresponding, so their angle measures are the same. Hope this helps. :)

Answer:

1) 1 and 6

2) 110. these are corresponding angles so they are congruent

Step-by-step explanation:

Use long division to find the quotient below.
(10x^3 - 19^2 - 2x + 12) / (2x-3)

Answers

10x³ -19x2-2x+12 ÷(2x-3)
answer:
B

Are these three side lengths a Pythagorean triple? YES
NO

Answers

Answer:

Yes

Step-by-step explanation:

5^2 + 5^2 = c^2

25 + 25 = c^2

50 = c^2

[tex]\sqrt{50}[/tex] = c

[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]

Answer:

NO

Step-by-step explanation:

no, it is an acute isosceles triangle

(5√2 = 7.01)

Other Questions
Pls help I have problems with ela or engilish.Which detail from the text best supports the answer to Part A?For her entire career, Katherine insisted that no one person was responsible for any specific achievement.If we were off by just a few feet or seconds, they were done for, she remembered. The astronauts wouldnt have been able to return home.The Soviet Union took the lead again when it came to sending a man into space.The landing and successful return of Apollo 11s flight to the moon made headlines all around the world. And it could not have been possible without Katherines help. Please Help!__________Rule :- Don't answer Origin- Answer correctly Which of thefollowing uses thePreterit tense?A. Nicolas estaba muy nervioso y asustado.B. Ella estaba sorprendida.C. Hubo un fuego grande. The area of a rectangle is 21 cm. If one side exceeds the other by 4 cm, find the dimensions of the rectangle. A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount Quick What is a difference in the qualifications of the governor and lieutenant governor?A The governor must be at least thirty years old, but the lieutenant governor can be twenty-five years old.B The governor must be a legal resident of Georgia for six years, but the lieutenant governor must be a legal resident of Georgia for three years.C The governor can only be elected for two consecutive terms, but the lieutenant governor can be elected for an unlimited number of consecutive terms.D The governor must be a United States citizen for at least fifteen years, but the lieutenant governor only needs to be a United States citizen for ten years. 4/9 + 9/18. Please help me as soon as possible, it's due today. Change 3/4 to a decimal! Please explain step by step to get marked as brainliest In Spinning a Yarn, the authors purpose is to persuade. Which of the following quotes from the article shows that the authors purpose is to persuade? A. The Inca Empire covered nearly 3,000 miles. B. More conclusive proof that the quipu is a language comes from an old manuscript, a series of handwritten pages from the 17th century. C. Quipus are made of wool strings that hang from a thick cord. On the strings are groups of knots. D. They made houses of stone blocks that fit together perfectly without mortar, a bonding material. Globalization and imperialism are two side of the same coin? Which sentence is the correct punctuation usage of the semicolon, colon, or comma?AProfessor Brown has left; the laboratory, however, you may still be able to reach her through email.BProfessor Brown; has left the laboratory however; you may still be able to reach her through email.CProfessor Brown has left the laboratory, however you may; still be able to reach her through email.DProfessor Brown has left the laboratory; however, you may still be able to reach her through email. are grapes protein or dairy what musical instrument appears on the label of guinness beer? 1- Maman dit a Ahmed ..ton cahier. (complete -completez- completes ) The function f(x) is shown graphed below. The function g(x) is defined by the formula: g(x)=-4f(x)+7What is the value of g(3)? Help me with this question (50 Brainly Points) Can someone help me solve this problems please? It's a physics problem. Which of the following is a central idea in the conclusion of the Declaration of Independence191 We tried to ( convince- convert- appeal ) her that she should move to a smaller flat The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%