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vlabodo [156]
3 years ago
6

Find the volume of the sphere. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and round y

our final answer to the nearest hundredth.
radius is 8
Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

Volume of sphere = 4/3 πr³

Volume = 4/3 × 3.14 × 8³

Volume = 4/3 × 3.14 × 512

Volume = 4/3 × 1607.68

Volume = 2143 in³

\\

sukhopar [10]3 years ago
5 0
<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u>:-</h3>

Radius of the sphere is 8 units.

<h3><u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u>:-</h3>

The volume of the sphere.

<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

We know, volume of sphere is \frac{4}{3}πr³

So, volume of sphere = \frac{4}{3} × 3.14 × 8 × 8 × 8

= \frac{6430.72}{3}

= 2143.6

<h3>The volume of the sphere is <u>2</u><u>1</u><u>4</u><u>3</u><u>.</u><u>6</u><u> </u><u>c</u><u>u</u><u>b</u><u>i</u><u>c</u><u> </u><u>u</u><u>n</u><u>i</u><u>t</u><u>s</u>. [Answer]</h3>
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What is the solution of the system of equations? (_,_)
Brilliant_brown [7]

Answer:

0, 5

Step-by-step explanation:

3 0
3 years ago
Solve the question: (-4)+(-1)+2+5+...+x=437
Alex Ar [27]
The sequence is an arithmetic sequence with
a₁ = -4

d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3

an = x

Sn = 437


General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)

We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7

Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x -  4) = 874
xn - 4n = 874

Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.

Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50

The solution is 50
6 0
3 years ago
Please show me how you got the answer. Will give brainliest.
umka21 [38]

Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

\displaystyle{\frac{90}{100}=\frac{369}{x}}

<h3>Solve</h3>

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

90x = 369*100        Simplify by multiplying.

90x = 36,900            Isolate the variable <em>x</em>.

\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}           Divide both sides by 90 to cancel out 90 on the left.

\displaystyle{x = \frac{36,900}{90}}              Divide.

x = 410                    Solved for <em>x</em>, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: brainly.com/question/26535441

4 0
1 year ago
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Nesterboy [21]

Answer:

2

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

The LCD is 60:

30/60+20/60+15/60+54/60 = 120/60

120/60 = 2

PLEASE MARK ME BRAINLIEST!

6 0
3 years ago
Please help me........
kati45 [8]

Answer:

x = 54

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-12(x + 4) + 14x = 60

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -12:                              -12x - 48 + 14x = 60
  2. Combine like terms:                   2x - 48 = 60
  3. Add 48 to both sides:                 2x = 108
  4. Divide 2 on both sides:              x = 54
7 0
3 years ago
Read 2 more answers
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