Answer:
Step-by-step explanation:
Lets illustrate one method by an example:
Find the square root of 12:
The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.
We might predict it to be 3.5
If we square 3.5 we get 12.25 so we are pretty close.
It is less than 3.5 so we might try 3.4 .
Working 3.4^2 out we get 11.56 so we know the square root is between 3.4 and 3.5 Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.
This is called the method of trial and improvement and requires you to do long multiplications.
Greater than
1/6 x 3/2 = 1/4
1/4 > 1/6
Answer:
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Step-by-step explanation:
Let smaller cooler's capacity be x gallons
Hence
Larger cooler's capacity will be 5x gallons
Together, they will hold 45 gallons, thus we can write:
x + 5x = 45
Solving:
x + 5x = 45
6x = 45
x = 45/6 = 7.5
And 5x = 5(7.5) = 37.5
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
correct Option is B i.e, 
whose simplified form is: 
Step-by-step explanation:
We need to solve the expression:
![2[(6x)(6x)]+4[(12x - 9)(6x)]](https://tex.z-dn.net/?f=2%5B%286x%29%286x%29%5D%2B4%5B%2812x%20-%209%29%286x%29%5D)
Solving:
![2[(6x)(6x)]+4[(12x - 9)(6x)]\\=2[36x^2]+4[(12x*6x)-(9*6x)]\\=72x^2+4[72x^2-54x]\\=72x^2+288x^2-216x\\=360x^2-216x](https://tex.z-dn.net/?f=2%5B%286x%29%286x%29%5D%2B4%5B%2812x%20-%209%29%286x%29%5D%5C%5C%3D2%5B36x%5E2%5D%2B4%5B%2812x%2A6x%29-%289%2A6x%29%5D%5C%5C%3D72x%5E2%2B4%5B72x%5E2-54x%5D%5C%5C%3D72x%5E2%2B288x%5E2-216x%5C%5C%3D360x%5E2-216x)
So, correct Option is B i.e, whose simplified form is:
Keywords: Surface area of the rectangular prism
Learn more about surface area of the rectangular prism at:
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