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Alja [10]
3 years ago
6

VODU

Mathematics
2 answers:
garri49 [273]3 years ago
3 0

Answer:

r = ∛(3V/4π)

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

We want to solve this first for r³ and then for r.

Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions:  3V = 4πr³.

Dividing both sides of this equation by 4π isolates r³:

       3V

r³ = -------

       4π

To find r, take the cube root of both sides of

       3V

r³ = -------

       4π

obtaining r = ∛(3V/4π)

svlad2 [7]3 years ago
3 0

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=113 \end{cases}\implies 113=\cfrac{4\pi r^3}{3}\implies 339=4\pi r^3 \\\\\\ \cfrac{339}{4\pi }=r^3\implies 26.98\approx r^3\implies \sqrt[3]{26.98}=r\implies 2.999 \approx r\implies \stackrel{\textit{rounded up}}{3=r}

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Im stuck on this question, plz help
denis-greek [22]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

40 metres covered in 6 seconds

Max speed attained after 6seconds

75 meters covered after 11 seconds

Average Speed for first 40 meters :

Speed = distance / time

Speed = 40m / 6s

Speed = 6.67m/s

To obtain the maximum speed :

Next (75 - 40) meters = 35 meters was covered in (11 - 6)seconds = 5 seconds

Speed at this point is maximum :

Hence, maximum speed = (35m / 5s) = 7m/s

Suppose, Manuel runs for an additional z seconds after reaching max speed :

Distance from starting line 6+z seconds after race started?

Distance after 6 seconds = 40 metres

Distance after z seconds = 7 * z

Total distance = (40 + 7z)

What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?

Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))

40 + 7(x - 6)

3 0
3 years ago
Solve this equation v-10=-9
andrew11 [14]
First add 10 on both sides. So it will be v = 1.
6 0
3 years ago
Read 2 more answers
A. Incorrect; the student should add 8 + 2 to calculate the x-coordinate and should add 5 + 9 to calculate the y-coordinate. B.
likoan [24]

Answer:

A

Step-by-step explanation:

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3 0
3 years ago
Working together to palms can drain a certain pool in three hours if it takes the older pump nine hours to drain the pool by its
andreyandreev [35.5K]

Answer:

It would take the newer pump 4.5 hours to drain the pool

Step-by-step explanation:

Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:

older pump: if it takes it 9 hours to complete the job, it does \frac{1}{9} of the job in one hour.

newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed \frac{1}{x} of the total job.

both pumps together: since it takes both 3 hours to complete the job, in one hour they do \frac{1}{3} of the job.

Now, we can write the following equation about fractions of the job done:

<em>The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together.</em> That is in mathematical terms:

\frac{1}{9} +\frac{1}{x} =\frac{1}{3}

and solving for x:

\frac{1}{9} +\frac{1}{x} =\frac{1}{3} \\x+9=3x\\2x=9\\x=\frac{9}{2} \,\,hours\\x = 4.5\,\,hours

4 0
3 years ago
What is the y-intercept of the graph that is shown below?
Law Incorporation [45]

Answer:

y- intercept is (2;0)

Step-by-step explanation:

Then the x- intercept is (3;0)............

7 0
2 years ago
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