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4 years ago

Solve for r step by step v =1/3 IIR^3 h

Mathematics

1 answer:

NeTakaya4 years ago

4 0

Answer:

$r=\sqrt[3]{\frac{3v}{\pi h} }$

Step-by-step explanation:

The equation is v=1/3πr³h

Multiply both sides of equation by 3 to get

3v=πr³h

Divide both sides of the equation by πh to get

3v/πh = r³

Apply cube root on both sides of the equation as;

$\sqrt[3]{\frac{3v}{pih} } =r$

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A 75% increase followed by a 33 1/2% decrease

o-na [289]

After 75% increase followed by a 33 1/2% decrease the net increased is 16.375%.

<u>Solution:</u>

Need to determine net percentage increase or decrease when a value is increased by 75% and then decreased by $33 \frac{1}{2} \%$ that is 33.5%.

Let’s assume initial value be represented by variable x.

$75 \% \text { decrease means } x+75 \% \text { of } x=x+\frac{75}{100} x=x+0.75 x=1.75 x$

Now there is decrease of 33.5%

$\begin{array}{l}{33.5 \% \text { decrease means } 1.75 x-33.5 \% \text { of } 1.75 x=1.75 x-\frac{33.5}{100} \times 1.75 x} \\\\ {=1.75 x-(0.335 \times 1.75) x=1.75 x-0.58625 x} \\\\ {=1.16375 x}\end{array}$

$\text { So increase in percentage }=\frac{\text { final value-initial value}}{\text { intial value }}$

$=\frac{1.16375 x-x}{x} \times 100=16.375 \%$

Hence after 75% increase followed by a $33 \frac{1}{2} \%$ decrease the net increased is 16.375%.

8 0

3 years ago

Jane is a better tennis player than Jack is. If the probability that Jane will beat Jack in any given game is 0.7, what is the p

nignag [31]

Answer:

0.21

Step-by-step explanation:

Given that Jane is a better tennis player than Jack is. If the probability that Jane will beat Jack in any given game is 0.7,

Probability for Jane beating Jack is 0.7 and hence

Probability for Jack beating Jane is 0.3

We find that each game is independent of the other

If two games are played

Probability that they will each win one game if they play two games

= Prob that Jack wins one game * Prob that Jane wins one game

= 0.7*0.3

= 0.21

(Since if A and B are independent events P(AB) = P(A) *P(B)

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3 years ago

Jakes has $20 to spend on notebooks and pencils the notebooks and pencils. the notebooks cost 3.25 and the pencils cost $.50 wha

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He can buy 4 notebooks and have 2$ in change

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3 years ago

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Fofino [41]

Answer:

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3 years ago

2y + 5x – z = 4y + 6x solve for y

Montano1993 [528]

Answer:

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4 years ago