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DanielleElmas [232]
2 years ago
11

Two cubes have surface areas of 81 square inches and 144 square inches. What is the ratio of the volume of the small cube to the

volume of the large cube?
Mathematics
1 answer:
Katena32 [7]2 years ago
5 0
We know, surface area of cube = 6a²

So, side length of 1st cube = a² = 81/6 
a = 3.67

Side length of 2nd cube = a² = 144/6
a = 4.90

Now, volume of cube = a³

Volume of 1st cube = 3.67³ = 49.43

Volume of 2nd cube = 4.90³ = 117.64

So, Ratio = 49.43 / 117.64 = 1/2.38

In short, Your Answer would be: 1: 2.38

Hope this helps!
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MariettaO [177]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0
1 year ago
A bakery is filling an order for 180 cupcakes. Jeff has baked and
REY [17]

Answer:

135 cupcakes

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
f(x)=2x. If g(x) is a vertical stretch, compression, and or reflection of f(x) followed by a, what is the equation of g(x)?
Montano1993 [528]

The function g(x) is g(x)= (3x)^2

<h3>How to solve for g(x)?</h3>

The complete question is in the image

From the graph in the image, we have:

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The function f(x) is stretched by a factor of 3 to form g(x).

This means that:

g(x) = f(3x)

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g(x)= (3x)^2

Hence, the function g(x) is g(x)= (3x)^2

Read more about function transformation at:

brainly.com/question/10222182

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7 0
1 year ago
between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=
Juli2301 [7.4K]
\bf f(x)=0.35x^2-2.1x+15.8\qquad &#10;\begin{cases}&#10;x=\textit{year since 1995}\\&#10;f(x)=\textit{population amount}&#10;\end{cases}

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3 years ago
How to find n in 38n4​
Rus_ich [418]

Answer:

Step-by-step explanation:

imagine 38 n = lets say b

so b/b/b/b/b

and divide that by 38

5 0
2 years ago
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