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Snezhnost [94]
3 years ago
9

The radius r of a sphere is 6 units. Find the volume of the sphere. Write your answer in terms of . The volume is cubic units.​

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… Volume of Sphere. Enter the volume contained within a sphere. Radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.

Step-by-step explanation:

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Answer:

48 minutes

Step-by-step explanation:

Given that;

Rosalinda can line the football field in 80 minutes

Reggie can line the football field in 120 minutes

Lets assume that if they work together, they will take T minutes to line the football field

Hence;

Thus in 1 minute, Rosalina can line 1/80 of the field where as Reggie can line 1/120 of the field

\frac{1}{T} =\frac{1}{120} +\frac{1}{80} \\\\\frac{1}{T} =\frac{2+3}{240}\\\\

The sum of the two fractions will represent the size of the field that can be lined in 1 minute.

\frac{1}{T} =\frac{5}{240} \\\\\frac{1}{T} =\frac{1}{48} \\T= 48

The reciprocal of the sum of the two fractions will represent the time taken for both Rosalinda and Reggie to line the field.

Answer ; It will take them 48 minutes for them to line the football field

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a poll was conducted by a marketing department of a video game company to determine the popularity of a new game that was target
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Step-by-step explanation:

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Step-by-step explanation:

abc = 1

We have to prove that,

\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1

We take left hand side of the given equation and solve it,

\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}

Since, abc = 1,

\frac{1}{c}=ab and c = \frac{1}{ab}

By substituting these values in the expression,

\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}

                                       =\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}

                                       =\frac{1+b+ab}{1+b+ab}

                                       =1

Which equal to the right hand side of the equation.

Hence, \frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1

5 0
3 years ago
Solve for x in the equation shown below
baherus [9]

Answer:

x = 14

Step-by-step explanation:

Step 1: First, Simplify the fraction.

\frac{4x}{7} =8

Step 2: Next, Multiply both sides by 7.

4x = 8 × 7

Step 3: Simplify 8 × 7 to 56.

4x = 56

Step 4: Then, Divide both sides by 4.

x=\frac{56}{7}

Step 5: Lastly, Simplify the fraction and you're done!

x = 14

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3 years ago
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