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3 years ago

3) The volume of a sphere is 7234.56ft3. Find the diameter.

Mathematics

1 answer:

pashok25 [27]3 years ago

8 0

Answer: 12.001 ft is the radius

Step-by-step explanation:

Volume of sphere is calculated by following formula:

V = 4/3 pi r³

Putting values

7234.56 = 4/3 × 3.14 ×r³

Simplifying

7234.56 = 4.186 ×r³

Rearranging the equation

r³ = 7234.56/4.186

r³ = 1728.28

Taking cube root on both sides

r = 12.001

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3 years ago

Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) (-4, 5) across the

levacccp [35]

Answer:

a) (4,5)

b) (0,-3)

Step-by-step explanation:

We have to perform the following reflection over given ordered pair.

a) Reflect the ordered pair (-4,5) across the y-axis

Reflection over y-axis:

$r: (x,y)\rightarrow (-x,y)$

Thus, (-4,5) will be reflected over y-axis as

$r: (-4,5)\rightarrow (-(-4),5) = (4.5)$

b) Reflect the ordered pair (0,3) across the y-axis

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$r: (x,y)\rightarrow (x,-y)$

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6 0

4 years ago

How long will it take Birr 500

notka56 [123]

It would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.

<h3 /><h3>Simple interest formula</h3>

Using the simple interest formula A = P(1 + rt) where

P = princial amount = Birr 500,
A = final amount = 4P (since it is quadrupled),
r = rate = 12% = 12/100 = 0.12 and
t = time to quadruple

<h3 /><h3>Finding the time it takes to quadruple </h3>

Since we require t, making t subject of the formula, we have

t = [(A/P) - 1]/r

Substituting the values of the variables into the equation, we have

t = [(A/P) - 1]/r

t = [(4P/P) - 1]/0.12

t = [4 - 1]/0.12

t = 3/0.12

t = 25 years

So, it would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.

Learn more about simple interest here:

brainly.com/question/25793394

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3 years ago

The average test score of RSM students in September increased by 10%. In October it increased by another 15%. By what percent di

irina [24]

Answer:

26.5%

Step-by-step explanation:

<u>Increasing Percentages</u>

When sequential percentages increasing are computed, each increase applies to the previous result, instead of the first quantity. That is why sometimes the final results may be confusing. For example, increasing 10% and then 15% will not be the same as increasing a total of 25%.

The average test scores of RSM students first increased by 10%. It means that some quantity C increased by

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Now the average test scores are

$C+0.1C=1.1C$

A new increasing occurred by 15%, and the previous quantity must be multiplied by 1.15, so the final average test scores are

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It means that the total increasing was $100(1.265-1)=26.5\%$

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3 years ago