Given:
Two similar rectangles.
To find:
The area of the larger rectangle.
Solution:
Let x be the other side of the larger rectangle.
Corresponding sides of similar figures are always congruent.


The other side of larger rectangle is 2 cm.
We know that, area of rectangle is

So, area of the larger rectangle is


Therefore, the area of the larger rectangle is 8 sq. cm.
 
        
             
        
        
        
Answer:

The problem:
Find  if
 if  ,
, 
![h(x)=\sqrt[3]{x+3}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B3%7D) , and
, and
![f(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D) .
.
Step-by-step explanation:


Replace  in
 in ![f(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D) with
 with  since we are asked to find
 since we are asked to find  :
:
![\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
![\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%2B2%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
This implies that 
Let's check:



![\sqrt[3]{(x+1)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x%2B1%29%2B2%7D)
![\sqrt[3]{x+1+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%2B2%7D)
![\sqrt[3]{x+3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D) which is the required result for
  which is the required result for  .
.
 
        
             
        
        
        
Answer:
Juan has 35(t) cookie dough orders.
Step-by-step explanation:
75(Overall) - 40(Rob's) = 35(Juan's)
Hope this helps you. :)
 
        
                    
             
        
        
        
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it. 
The confidence interval can be calculated using following formula:

Where 

 is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:

The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
 
 
        
        
        
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