A globe has a diameter of 22 in. What is the best approximation for the volume of this globe? 14,197. 33 in³ 5572. 45 in³ 1774. 67 in³ 379. 94 in³.

Answers

Answer 1

Answer:

5572.45

Step-by-step explanation:

the formula to calculate the colume of a sphere is (4/3)πr², where r is the radius of the sphere.

to find r (radius):

- divide the diameter by 2 because d = 2r, where d is the diameter and r is the radius

r = 22/2

= 11 in

to find volume of the globe:

- substitute r = 11 into (4/3)πr³

v = (4/3)π(11)³

= 5324π/3

≈ 5575.27976 in³

hence, the best approximation of the globe is 5572.45 in³.


Related Questions

8 1/3 divided by x=2 1/3 divided by 8.1

Answers

Answer:

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]

[tex]\large\underline{\textsf{What are Equations?}}[/tex]

[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]

[tex]\underline{\textsf{This means that;}}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]

[tex]\large\underline{\textsf{What are Proportions?}}[/tex]

[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]

[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]

[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]

[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]

[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]

[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]

[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]

[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]

[tex]\textsf{until we have our product.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]

[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]

[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]

[tex]\textsf{of x.}[/tex]

[tex]\tt x = 6[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Use the Cross Multiplication Method.}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]

[tex]\textsf{values together.}[/tex]

[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]

[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]

[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]

[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of x????????

Answers

An exterior angle is equal to the sum of the two opposite inside angles:


x = 133 - 118 = 15 degrees


Answer: x = 15

Answer:

15 because 133=x-118 I hope it helps

Lesson 19 Practice
Rewrite the product as a sum or difference of two terms: 2(x + y)

Answers

Hey there!

2(x + y)

DISTRIBUTE 2 WITHIN the PARENTHESES

= 2(x) + 2(y)

= 2x + 2y


Therefore, your answer is: 2x + 2y


Basically, 2 (the first one) is your coefficient, x & y are your variables, and 2 (the second one) is your constant. Whereas, your addition symbol (the sum or +) is your operator.


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

For what value of y does 125 = (StartFraction 1 Over 25 EndFraction) Superscript y minus 1? Negative five-halves –2 –1 Negative one-half.

Answers

Answer:

D. -1/2

Step-by-step explanation:

First to rewrite the equation in numbers

[tex]125=\frac{1}{25}^{y-1}[/tex]

First, we need to find what exponent would get 1/25 to 125.

[tex]\frac{1}{25}^{y}=125[/tex]

Sense 1/25 is a fraction we must use a negative exponent to make it a whole number. We can just find what exponent would get 25 to 125 then make it negative. 1 wouldn't be enough and 2 would be too much so y is between 1 and 2 into negative is between -1 and -2. Sense the original equation has (y-1) the only option you can subtract 1 from to get between -1 and -2 is -1/2 which would give -1 1/2.

Answer:

Keep it simple: D or -1/2

Step-by-step explanation:

Help please. I don't know how to do this.

Answers

Answer:

it is quite simple it's just that you need to substitute the input in place of x

eg:if the input is 2 then 2(3(2)+4) = 20 and 20 is the output

A robot painted 423 car parts in 9 minutes. What was the rate per minute at which the robot painted the parts?

Answers

Answer:

47 parts per minute

Step-by-step explanation:

423/9=47

Answer: 47. 423 divided by 9 is 47

Solve for x using the given information. Explain your steps.

Answers

6x + ( 3x - 9) = 90°( being complementary angles )

6x+3x -9 = 90°

9x = 90° + 9

x = 99 / 9

x = 11

Jose and his 3 friends equally shared $20 at Taco Bell last night.

Use the model below to determine x, the amount each child

spent at Taco Bell.

Answers

Answer:

  x = 5

Step-by-step explanation:

The model tells you ...

  4x = 20

  x = 20/4 = 5 . . . . . divide both sides by 4

Each child spent $5 at Taco Bell.

help needed thanks it greatly appretiated

Answers

c is the correct answer of this question

[tex] \huge \boxed{ \tt option \: c}[/tex]

Step-by-step explanation:

[tex] \sf \dfrac{15 x{y}^{2} }{15 {x}^{11} {y}^{15} } [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{15 x {}^{0} {y}^{0} }{15 {x}^{11 - 1} {y}^{15 - 2} } [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{15 \times 1 \times 1 }{15 {x}^{11 - 1} {y}^{15 - 2} } [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{15 \times 1 \times 1 }{15 {x}^{10} {y}^{13} } [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{ \cancel{15 } \times 1 \times 1 }{ \cancel{15} {x}^{10} {y}^{13} } [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf \dfrac{ 1 }{ {x}^{10} {y}^{13} } [/tex]

The points (-12, 6) and (-4, r) lie on a line with slope - 1/2
Find the missing coordinate r.

Answers

Answer:

r = 2

Step-by-step explanation:

Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substitute the known values for their respective variables and solve for the missing coordinate, r.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\ -\frac{1}{2}=\frac{6-r}{-12-(-4)}\\\\-\frac{1}{2}=\frac{6-r}{-8}\\\\ -8(-\frac{1}{2})=(\frac{6-r}{-8})-8\\\\ 4=6-r\\\\4-6=6-r-6\\\\-2=-r\\\\\frac{-2}{-1}=\frac{-r}{-1}\\\\ 2=r[/tex]

3/14/7/10

[tex] \frac{ \frac{ \frac{3}{14} }{7} }{10} [/tex]
simplify ​

Answers

Answer:

= 3/14 × 10/7

= 15/14

hope it helps!

Answer:

= 3/14 × 10/7

= 15/14

Step-by-step explanation:

branliest pls

65 cm of 5.6 m

find the percentage

Answers

Answer:

8.61%

Step-by-step explanation:

5.6/65*100

If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1 2 % annual interest to ensure that the interest he receives each year is 4 1 2 % of the total amount invested?

Answers

Ben should assist additional money of 2250

(4x+7) ° is congruent to [5(x-4)] °

What is the value of x?

Answers

Answer:

x=17

Step-by-step explanation:

1) 4x +7 = 5(x-4)      Congruent angles

2) 4x + 7 = 5x -10    Distributive Property

3) Simplify

4x + 7 = 5x - 10
-4x        -4x
  7 = x - 10
+10       +10

x = 17

PLEASE HELP ME I WILL MARK IF RIGHT

Answers

Step-by-step explanation:

the small and the large triangles are similar triangles.

they have the same angles. and the corresponding sides correlate to each other with the same ratio for every pair of sides.

so,

28 / 82 = (2x + 8) / ((2x + 8) + (5x -4)) =

= (2x + 8) / (7x + 4)

(7x + 4)×28 = (2x + 8)×82

196x + 112 = 164x + 656

32x = 544

x = 17

Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

Answers

Answer:

12* y-4

Step-by-step explanation:

The first is twelve. then the asterisk is next. y is for the "number" Lastly, subtract 4.

si el cartón de huevos es la unidad, y son 30 huevos, responde:
¿cuántos huevos hay en un medio cartón? ​

Answers

Answer:

quince

Step-by-step explanation:

si el cartón de huevos es la unidad, y son 30 huevos,

responde:

¿cuántos huevos hay en un medio cartón? ​

translation:

if the egg carton is the unit, and it is 30 eggs,

answer:

how many eggs are in a half carton?

30 divided by 2

30

-----   = 15

 2

Find the value of x.

Answers

Step-by-step explanation:

[tex]90 + 90 + 52 + x = 360 \\ x = 360 - 90 - 90 - 52 \\ x = 128[/tex]

Find ALL solutions for the photo given. Find all real solutions of the equation given

Answers

Step-by-step explanation:

using formula method... insert the variables

f(x) = -9x + 7 find f(3) HELPPP

Answers

Given :-f(x) = -9x + 7 .

To Find :-The value of f(3) .

Solution :-

The given function is ,

→ f(x) = -9x + 7 .

And we need to find out its value at x = 3 , that is f(3) . So just substitute x = 3 ,

→ f(3) = -9*3 +7

→ f(3) = -27+7

f(3) = -20

Hence the required answer is-20 .

I hope this helps.

Please Help!! My area can be represented by the expression x^2. What special polygon am I?
Show your work​

Answers

Answer:

it is a rhombus

Step-by-step explanation:

only because if you do the division and multiply the ploynomials the circumfrance is an easy 2 which can be added to 3 but subtract the 1 making it part of the photosynthesis and can lead to bigger things such as a RHOMBUS

A total of 25 students are in German classes. there are 15 students in a beginner German class

Part A What percent of the total students in German classes are in the beginner class?

Part B Explain how you used proportion to find your answer

Answers

Answer:

60%

Step-by-step explanation:

You divide 15 by 25 and you get your decimal, which you multiply by 100 to get your percent.

Which equation models the rational function shown in the graph?

Answers

people need a picture so we can see what the graph looks like. next time send a pic along with ur question

Answer: its AAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Step-by-step explanation:

lol

Find three consecutive integers whose sum is 0.

Answers

0, -3 ,+3

hope it helped u! ^^

Let n=first number. So this means that the second number is n+2 and the third is n+4. Since the sum of the three numbers is 0, this means that

n+n+2+n+4=0

Whyy, do vou think, banks and other financial institutions offer cash loans to people that did not apply for it?

Answers

Answer:

because there are in need of it

Step-by-step explanation:

yes

What is the value of n?
Enter your answer in the box.

(NEED ANSWER ASAP. PLEASE DON'T ANSWER ANYTHING IRRELEVANT OR I'LL REPORT U. PROVIDE AN EXPLANATION AS WELL IF POSSIBLE. THANK U FOR UR HELP)

Answers

Answer:

5

Step-by-step explanation:

Well, there's a formula: to find the measure of any section, you should multiple every section to its ending after the crossing, and then make a proportion.

So, 9(n+7) = 18(n+1)

9n+63 = 18n+18

-9n+45=0

-9n=-45

n=-45/-9

n=5

How do I find the slope of the line?

Answers

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

yeah

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

I don't know if you want an example?

Which expression represents the following word sentence? Four times the sum of 3. 2 and a number is the number less 1. 4. 4n 3. 2=1. 4−n 4(3. 2 n)=n−1. 4 4(n 3. 2)=1. 4−n.

Answers

The line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given to us

Four times the sum of 3.2 and a number is the number less than 1.4

Let the number be n.

It is given that the sum of 3.2 and number,

n + 3.2

Four times the sum, therefore,

4(n+3.2)

The total we got is the number less 1. 4. thus,

4(n+3.2) = n - 1.4

Hence, the line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

the answer is 4(3.2+n)= n- 1.4

Step-by-step explanation:

took the quiz made a 100

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

18480 ft

Step-by-step explanation:

Note that 1 mile = 5280 feet. We can use this information to set up a unit converter:

[tex]3.5mi(\frac{5280ft}{1mi})[/tex]

Miles cancels out on the bottom giving us...

[tex]3.5*5280ft=18480ft[/tex]


1 mile =5280 ft so 3.5x5280=18480

PLEASE HELP me out with this

Answers

The red pencil is 6 and the blue one is 3 so blue +blue(3+3)=6
Other Questions
What is the molecular formula of a molecule that has a molecular mass of 180.8 g/mol and an empirical formula of CH2O? Please answer as quickly as possible! (50 points) Austin graphed the linear function below using a table of values. Which of the following coordinates were included in the table of values? Select all that apply. (0,5)(5,-6)(3,-2)(2,2) What is an equation of the line that passes through the points (-6, -3) and(-8,-4) One penny is one hundredth of a dollar. If I have 33 pennies, what fraction of a dollar do I have? Convert the fraction to a decimal How many solutions are there? What is the value of the expression 2/3 -5/6 over 3/4? 1-Light carries energy in the form of ______energy?helpp does anyone know 8g4g+10g ?? this work is due on monday lol im colse to being done PLSSS HELP IF YOU TURLY KNOW THISS what is the passive form of the phrase, i am going on a date The General Sherma, the largest tree in the world, has a maximum diameter of 36.5 feet. What is the circumference of the tree? Circle the term in parentheses that correctly completes the sentence. The US constitution outlawed slavery true or false What is the percent composition of oxygen in lithium oxide? PLEASE HELP QUICKLY 10 BRAINLY POINTSThe student store buys one dozen pencils for 96 and sells them for 20 each. How much profit does the store make on a dozen pencils?Group of answer choices$0.12$1.44$0.24 In sentence for 40, how should "neighborhoods in one city have their own" be correctly writtenA. neighborhoods in one city have its own B. neighborhoods in one city has their own C. neighborhoods in one city have our own D. leave as is Describe a situation in which someone else made you feel like an ""it"" instead of a thou"" Do you think that it would be possible to prepare a multicourse gourmet meal with no knives? What other kinds of tools could you use and how could you use them in order to prepare such a meal without any knives? Discuss.