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andrew11 [14]
4 years ago
12

) the length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3cm/s. when the length is

20 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Mathematics
1 answer:
VMariaS [17]4 years ago
4 0

It’s a little surprising that this question didn’t come up earlier.  Unfortunately, there’s no intuitive way to understand why “the energy of the rest mass of an object is equal to the rest mass times the speed of light squared” (E=MC2).  A complete derivation/proof includes a fair chunk of math (in the second half of this post), a decent understanding of relativity, and (most important) experimental verification.


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A right rectangular prism has edges of 2 1/4 in, 1 1/2 in and 1 1/2 in. How many cubes with lengths of 1/4 in would be needed to
Zielflug [23.3K]

The volume of a rectangular prism is (length) x (width) x (height).

The volume of the big one is  (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.

The volume of the little one is  (0.25)x(0.25)x(0.25)= 0.015625 cubic inch

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

       5.0625 / 0.015625  =  <em>324 tiny cubies</em>

=================================================

Doing it with fractions instead of decimals:

The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:

   2-1/4  =  9/4
   1-1/2  =  3/2
   1-1/2  =  3/2

   Volume = (9/4) x (3/2) x (3/2) =
 
                 (9 x 3 x 3) / (4 x 2 x 2)  =

                           81 / 16  cubic inches.

          As a mixed number:    81/16  =  <em>5-1/16 cubic inches</em>

Volume of the tiny cubie = (1/4) x (1/4) x (1/4) =  1/64 cubic inch.   

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

                 (81/16) divided by (1/64)  = 

                     (81/16) times (64/1)  = 

                             5,184/16  =  <em>324 tiny cubies</em>.


5 0
3 years ago
Roxanna earns 1.5 her normal hourly rate for overtime pay. Last week, Roxanna earned 72.00 I'm overtime pay for 4 hours. What is
stealth61 [152]
72/4 = 18    (18)(2/3) = 12. The answer is $12.00 per hour
6 0
3 years ago
The diameter of a circle is 3 1/2m, what is the radius?
iogann1982 [59]

Answer:

1,75 m

Step-by-step explanation:

The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m

6 0
3 years ago
Read 2 more answers
Identify the matrix transformation of ΔKLM, which has coordinates K(−2, 3),L(−4, −2), and M(−3, 0), for reflection across the x-
mafiozo [28]
Lol Kinda hard try again
3 0
2 years ago
Let u = &lt;5, 6&gt;, v = &lt;-2, -6&gt;. Find -2u + 5v.
Hunter-Best [27]
\bf \begin{cases}&#10;u = \ \textless \ 5, 6\ \textgreater \ \qquad &-2u\to -2\ \textless \ 5,6\ \textgreater \ \\&#10;&\qquad \boxed{\ \textless \ -10,-12\ \textgreater \ }\\&#10;v = \ \textless \ -2, -6\ \textgreater \ \qquad &5v\to 5\ \textless \ -2,-6\ \textgreater \ \\&#10;&\qquad \boxed{\ \textless \ -10,-30\ \textgreater \ }&#10;\end{cases}

scalar multiplication, now, add them up
7 0
3 years ago
Read 2 more answers
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