Ask question

Ask question

All categories

4 years ago

13

Explain when each of the following formula adjustments might prove useful.

1 answer:

spayn [35]4 years ago

4 0

We know that

Part a)
volume of a sphere=(4/3)*pi*r³
where r is the radius
<span>When the volume formula of the sphere is divided by two, it is useful to find the volume of the hemisphere
</span>so
volume of hemisphere=[(4/3)*pi*r³]/2----> (2/3)*pi*r³

part b) volume of the rectangular prism=pi*B*h
where
B is the area of the rectangular base
h is the height of the prism

<span>When dividing the volume formula of a rectangular prism by three, it is useful to obtain the volume of a rectangular pyramid with the same base and the same height as the prism
</span>
volume rectangular pyramid=(1/3)*[pi*B*h]

You might be interested in

Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number its

Anna71 [15]

<u>Part 1)</u> "Four times the difference of a number and $7$ is $32$ "

Let

x--------> the number

we know that

the expressions is equal to

$4(x-7)=32$

therefore

<u>the answer part 1) is</u>

$4(x-7)=32$

<u>Part 2)</u> "One third of a number is $12$ less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

$\frac{1}{3} x=(x-12 )$

therefore

<u>the answer part 2) is</u>

$\frac{1}{3} x=(x-12 )$

<u>Part 3)</u> "Ten increased by the quotient of a number and $2$ is $-15$ "

Let

x---------> the number

we know that

the expressions is equal to

$10+ (\frac{x}{2} )= -15$

therefore

<u>the answer Part 3) is</u>

$10+ (\frac{x}{2} )= -15$

<u>Part 4)</u> "One less than the product of a number and $3$ is $5$ more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

$(3x)-1=5+x$

therefore

<u>the answer Part 4) is</u>

$(3x)-1=5+x$

3 0

3 years ago

Read 2 more answers

The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 de

iris [78.8K]

Answer:

-3 degrees per hour

Step-by-step explanation:

Points: (12,44) and (20,20)

Slope = -3

3 0

3 years ago

If the graph of f(x) = x2, how will the graph be affected if it is changed to f(x) = 1/3x^2

Alchen [17]

Answer:

A. It would be wider

Step-by-step explanation:

because... going up one and over one is much more steep then going up 1 over 3

Heyyy! I recently got free gift cards for dunkin and starbucks and visa. Reply to this comment and I will gladly show you how :)

3 0

2 years ago

I really need help guys im begging

soldier1979 [14.2K]

Havent done this in years but i think it would just be 12

3 0

3 years ago

Read 2 more answers

Geometry question, i have some more on my profile please help!!!!

Marysya12 [62]

Answer:

Vertical angles are congruent

Step-by-step explanation:

vertical angles intersect, usually forming a X shape, and have to always be equal

3 0

3 years ago