a solid sphere is cut into 3 equal wedges. the volume of each wedge is V=4/9π^3. solve the formula for r

Answers

Answer 1

[tex]\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3[/tex]

It is one third of the solid. sphere

[tex]\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3[/tex]

Now

[tex]\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]

Answer 2

Step-by-step explanation:

hmmm.

the other answer says the volume of a wedge is

4/9 × pi×r³

but I read here only

4/9 × pi³

so, what is correct ?

if I assume my reading is correct, then the solution is actually

4/9 × pi×r³ = 4/9 × pi³

pi×r³ = pi³

r³ = pi²

[tex]r = \sqrt[3]{ {\pi}^{2} } [/tex]

and that would mean

r ≈ 2.145


Related Questions

How many solutions does this equation have?

–3h = 1 − 3h

Answers

None.

-3h cannot equal -3h + 1.

No matter what you pick for h, the two sides will always be 1 unit apart.

can anyone help me solve this function please?

Answers

Answer:

f(-5) = 19

Step-by-step explanation:

f(t) = -3t+4

Let f(t) = 19

19 =  -3t+4

Subtract 4 from each side

19 - 4 =-3t+4-4

15 = -3t

Divide each side by -3

15/-3 = -3t/-3

-5 = t

Answer:

the answer is -5

Step-by-step explanation:

F(t)=-3(t)+4

it told you that F(t) is equal to 19

so -3*-5=15+4=19

There are two precalculus sections at a high school. Mr.​ Abel's class has 10 girls and 6 ​boys, while Mr.​ Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a​ girl, what is the probability she is from Mr.​ Abel's class?

Answers

Answer:gggggggggg

Step-by-step explanation:

gggggggggggggggggggggggggggggggggggggg

what is x when the tangent of 25 equals x over 11?

Answers

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

solve for x -7=2x+3 simplify the equation as much as possible

Answers

hi <3

2x + 3 = -7

subtract 3 from both sides:

2x = -10

divide both sides by 2:

x = -5

hope this helps :)

(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)

Answers

Answer:

105

Step-by-step explanation:

219+(-114)=219-114=105

the answer is 105. you ignore the ‘+’ and just solve it as 219-114. please mark brainliest!!

Due today:
At a local car dealer, the ideal selling price of a car is $22,000. The dealer allows this price to vary $1200 .


Create an absolute value inequality that models the range of the price the dealer can sell the car. (Hint: Test your inequality to make sure the price is $1200 below and above the selling price works.)

Answers

We know that:

The ideal selling price is P = $22,000

The price can vary dP = $1,200

let's define p as the variable that represents the possible prices of the car.

We will find that the absolute value equation that represents this is:

|p - $22,000| ≤ $1,200

Now let's see how we get that, using the initial information we can get:

The minimum price can be:

mP = P - dP = $22,000 - $1,200 = $20,800

The maximum price can be:

MP = P + dP = $22,000 + $1,200 = $23,200

Then the range of allowed prices is:

mP ≤ p ≤ MP

$20,800 ≤ p ≤ $23,200

To write this as an absolute value equation, we use the general formula:

Ix - average| ≤ amount that it can vary

Replacing it with our values we get:

|p - P| ≤ dP

|p - $22,000| ≤ $1,200

Concluding, the absolute value equation that we wanted to find is:

|p - $22,000| ≤ $1,200

If you want to learn more, you can read:

https://brainly.com/question/1301718

Find the midpoint of the segment

Answers

Answer:

Mid point

x = 7 + (-3)/2. y = -3 + 11/2

x = 7-3/2. y = 8/2

x = 2. y = 4

Midpoint = (2,4).

The midpoint is (2,4)

Marco surveyed the first 10 people
who arrived at the pool. He asked
them what they thought was the
best time to close the pool.

Answers

Yes they must close the pool 7 pm

The best time to close the pool is the evening from 4 to 7 pm.

This is called the taking of average among all possible samples.

What is problem-solving?

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

This can also be solved using mean, mode or median is data is given.

Learn more about mean here:-https://brainly.com/question/1136789

#SPJ2

por favor sumar 3/4 4/5 7/8

Answers

97/40 = 2 17/40

En decimals: 2.425

2/5 (z+ 1) = y for z

Answers

Answer:

z = 5y/2 - 1

Step-by-step explanation:

Solve for  z

by simplifying both sides of the equation, then isolating the variable.

NCERT Portion, grade 8, Lesson 1. Rational numbers

Answers

Answer:

[tex]-\frac{43}{70}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

Simplify,

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

[tex]\frac{-20}{70}-\frac{5}{70}-\frac{18}{70}[/tex]

[tex]-\frac{25}{70}-\frac{18}{70}[/tex]

[tex]-\frac{43}{70}[/tex]

These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?

Answers

Answer:

first question

mean = 5.11

median = 6

mean = sum of the terms

number of terms

= 271

53

= 5.11

median is the 27th (arrange lowest to highest number)

conclusion, the median is higher than mean, the answer is B.

sec question

a is the answer

third question

a is the answer

last question

mean = 60838

median = 60000

the answer is B

please help me with this math is for my math homework​

Answers

Answer:

that answer is (1)

hope that helps you

9514 1404 393

Answer:

  1

Step-by-step explanation:

You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.

  -1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator

or

  -11/10 = -1 1/10 . . . . . matches the numerator

__

  (-11/10)/(-11/10) = 1 . . . . your quotient

_____

Additional comment

Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.

As you may know, there are a couple of (fully equivalent) ways to divide fractions.

1) "invert and multiply" or "dot swap"

  (11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted

  = (11·10)/(10·11) = 110/110 = 1

2) use the numerators when the denominators are equal.

  (11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10

2
614
eft
3.
9m
Please help

Answers

2.

[tex] area=\frac{1}{2} \times 6 \times 8 \\ = 24 [/tex]

3.

[tex]area = \pi \times 9m \\ = 3.14 \times 9 \\ = 28.26 {m}^{2} [/tex]

how can i solve this equation

Answers

Answer:

D. -1.44 and 2.44

Step-by-step explanation:

[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]

is equal to:

[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]

•◇•◇○◇•◇•

➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]

➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]

➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]

➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]

➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]

To mail a package, a customer must determine the volume of the package to get the postage price. If a
package were a cube with side 12 inches, which of the following expressions would a customer use to
determine the volume? (The volume of a cube with edges of length s is s^3.)
12x3
12x4
12^3
square root of 12

Answers

Answer:

12^3

Step-by-step explanation:

The volume of a cube is the length of it's size raised to the power 3, so if the length is 12, the volume will be 12³ or 12^3

Choose the expression that represents the fraction one-sixteenth.

A. 1 ÷ 6
B. 1 ÷ 16
C. 16 ÷ 1
D. 6 ÷ 1

Answers

Answer:B. 1 divided by 16

Step-by-step explanation:

i dont know it might be b Or c

just my guess

Fill in the blanks in the following sentence from the choices below describing the Real number system. 1 The _____ numbers, are fully contained in the _____ numbers, which are fully contained in the _____ numbers which are fully contained in the _____ numbers.

Choose from the words:
Integer, Irrational, Natural, Rational or Whole.

Answers

Answer:

1. Natural

2. Whole

3. Integer

4. Rational

The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

What are Natural Numbers?

Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

For example 1, 2, 3, 4, 5, 6, and so on.

What are Integers?

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

Learn more about the Integers here :

brainly.com/question/1768254

#SPJ2

Read the image below ​

Answers

Natural numbers: 1, 2, 3, 4, ….
Whole numbers: 0, 1, 2, 3, 4, …. (All Naturals, plus 0)
Integers: 0, 1, -1, 2, -2, 3, -3, …. (All Whole numbers, plus their opposites)
Rational numbers: anything that’s a fraction or integers, as long as the denominator isn’t 0. (All integers, plus all other fractions)

J captures this correctly. Rational numbers include all the other groups, Integers include whole and natural numbers, and whole numbers include natural numbers.

93,487,991 to the nearest hundred thousand

Answers

Answer:

93,500,000

Step-by-step explanation:

Rounding rule:

1) If the digit directly next to the one you are finding is 5 or greater, round up.

2) If the digit is 4 or less, round down.

Note the hundred thousands place value (underlined and bolded):

93,487,991

Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:

93,487,991 rounded to the nearest hundred thousand is 93,500,000.

~

3a+2b=17, b = 4a -30

Answers

Answer:

3a+2b=17

soln

3a+2b=17

3a+2b-2b=17-2b

3a=17-2b

3a/3=17/3-2b/3

a=17-2b/3

Hope it helps !!!!!!!

area of square field is 617796cmsquare. find length of its each side.

Answers

Answer:

Answer is 786 cm

Step-by-step explanation:

√617796 =786

what does X equal? giving 50 points

Answers

X= 6/11

Square both sides

Find the distance between (-3,-11) and (8,-42)

Answers

Answer:

√2930

Step-by-step explanation:

The distance formula is

√((difference between x values)² + (difference between y values)²)

= √((-3 - 8)² + (-11 - (-42))²)

= √((-11)² + (31)²)

= √1082

The perimeters of the two rectangles at right are equal. Write and solve an equation to find the value of x and the common perimeter. (desperate need of help)

Answers

Answer:

write the expression for the perimeter of the 1st rectangle 6x

write the expression for the perimeter of the 2nd rectangle 4x + 30

write the equation 6x = 4x + 30

x= 15

perimeter = 90

Step-by-step explanation:

The perimeter is adding up all the sides of the rectangle.

So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.

Therefore, the perimeter is

2x + x + 2x + x

or

6x

Similarly with the second rectangles:

(x+12) + (x+3) + (x+12) + (x+3)

Combine like terms

x + x + x + x + 12 + 3 + 12 + 3

4x + 30

Set these two equal to each other because the two perimeters are equal

6x = 4x + 30

Subtract 4x on both sides

2x = 30

Divide by 2 on both sides

x = 15

Check:

6(15) = 4(15) + 30

90 = 60 + 30

90 = 90

The common perimeter is

6*15 = 90 units

What is the volume of the rectangular prism?
3 in.
4 in.
54 in.
O A
A 12 in.
O
00
24 in 3
o
C
60 in
D. 73, in
in 3
.

Answers

Answer:

71.75 in^3

Step-by-step explanation:

If the values are

3 1/2in 5 1/4in 4in

then multiply all three of them

71.75 in^3

Hope I helped!

The cafe employees 20 staff 12 of them are men what is the percentage of women

PLEASE HELP MEE

Answers

Answer:

40 % are women

Step-by-step explanation:

20 - 12 = 8 / 20

Please help ill mark brainliest dont forget explanation too please

Answers

You can set point c as the y axis since there appears to be none in this image. Then after reflecting it across the y axis or point c you’re going to have to translate it 3 units to the right and 2 units down.

Simplify the expression
by combining like terms.
3y2+2y-y2+y

Answers

Answer:

= 3y2-y2+2y+y

= 2y+3y

= 5y

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Global warming is largely due to this increase in atmospheric carbon dioxide.Explain how increases in atmospheric carbon dioxide concentrations contribute to global warming. she said. dear brother, do not tease me.indirect speech1.she observed brother should not tease her.2.she affectionately called him brother and asked him not to tease her.3.she called brother not to tease her.4.she exclaimed dear brother not to tease her. Put question for the underlined part of each sentenshe likes watching 'comedy'it stars 'lee min hoo and jun ji huyn' I felt 'terrified' before my last maths test she felt 'entertained' when she watched a gripping film sketch the curve of y=x with conclusion. Ive been having this question for a while "what do you use first PEMDAS or Order of Operations". Well you might say it doesn't matter because a problem like this 5(3+8)=x if you use PEMDAS u first add the eight and the three and you would get eleven then you times the eleven with the five to get fifty five. So x=55. If you use Order of Operations you would multiply the three and eight by five to get 15+40=x you would add the fifteen and the forty to get fifty five making x=55. But if you took the problem {3(525/4)}^1/3=Rthen its a different situation heres the problem solved with PEMDAS.{3(525/4)}^1/3{3(525/12.57)}^1/3{341.77}^1/3125.30^1/3=4.90R=4.90Now this is a step by step explanation on how to do order of operations.{3(525/4)}^1/3(1575/129.40)^1/3(1575/112.80)^1/313.90^1/3=2.30R=2.30So as you see these two equations have different answers. Now agin which of the two of them do i use Order of Operations or PEMDAS.Please give a step by step explanation why i should use either or. All these problems were rounded to the nearest hundredth. que expresin es equivalente a 7,299? 1. x/5 + 10 = 40 2. 4x - 36 = -2i would really appreciate it if you'd help me Solve quadratic equation by factoring. Temperature in Tahiti: 27 C Temperature in Siberia: -33 C What is the difference between these temperatures? Anyone who knows this mathematic question will get the brainliest 3. Reflect across the line y = x. E(-4,-2) N(-1,0) +N A(1,-3) A Which expression does this power represent?10910 10 10 10 10 10 10 10 109 9 9 9 9 9 9 9 9 910 9 10 9 10 9 10 9 10 9 10 9 10 9 10 9 10 910 9 Which number is a not a solution to the inequality m-8 The sun is about 93 x 10 6 miles from earth. Whats is this distance written as a whole number Sam says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers? How was the unification campaign of Nepal concluded? brainliest to correct answer A food worker has been slicing melons for four hours. Her single-use gloves are intact. Should this food worker change her gloves? A. No, because her gloves are not torn B. Yes, because she should use cloth gloves instead. C. No, because she may wear the gloves for up to six hours at a time. D. Yes, because pathogens on the gloves may have multiplied to dangerous levels. Identify the greatness and Egyptians development against by the zantine rulers 4x - 6 6x - 20 helppp