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loris [4]
3 years ago
9

A cardboard of size 16cm and 24cm has been completely used to from a cube.What will be the size of the cube so formed ?

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0
Surface area of rectangle = l * w = 16 * 24 = 384

Now, Surface area won't change, when it will transform into a cube so, 
6a² = 384
a² = 384/6
a² = 64
a = √64
a = 8

In short, Your Answer would be: 8 cm

Hope this helps!
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between 1993 and 1996 there were 6545 injured injured horse horses during races find the ratio of each and every per year​
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2,181 2/3

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Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th
ladessa [460]

Answer:

f^{-1}(x)=g(x)=\frac{\text{ln}(x)}{2}+\frac{1}{2}  

Step-by-step explanation:

Please find the attachment.

We have been given two functions as (x)=e^{2x-1} and g(x)=\frac{1}{2}+\frac{\text{ln}(x)}{2}. We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of f(x)=e^{2x-1} as:

y=e^{2x-1}

Interchange x and y values:  

x=e^{2y-1}

Take natural log of both sides:

\text{ln}(x)=\text{ln}(e^{2y-1})  

\text{ln}(x)=(2y-1)*\text{ln}(e)  

\text{ln}(x)=(2y-1)*1  

\text{ln}(x)=2y-1  

\text{ln}(x)+1=2y-1+1

\text{ln}(x)+1=2y  

\frac{\text{ln}(x)+1}{2}=\frac{2y}{2}  

\frac{\text{ln}(x)}{2}+\frac{1}{2}=y  

f^{-1}(x)=\frac{\text{ln}(x)}{2}+\frac{1}{2}  

Therefore, we can see that function g(x)=\frac{1}{2}+\frac{\text{ln}(x)}{2} is inverse of function f(x)=e^{2x-1}.

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5 0
3 years ago
What is the solution to this ?
Advocard [28]

Answer:

\boxed{\sf C. \ x\geq -4}

Step-by-step explanation:

-8x+4\leq 36

\sf Subtract \ 4 \ from \ both \ sides.

-8x+4-4 \leq 36-4

-8x\leq 32

\sf Divide \ both \ sides \ by \ -8.

\frac{-8x}{-8} \leq \frac{32}{-8}

x\geq -4

4 0
3 years ago
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