Answer:
Step-by-step explanation:
- root3(root3 - 1) =
- √3(√3 - 1) =
- √3(√3) - √3(1) =
- √3² - √3 =
- 3 - √3
- 3 - root3
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The surface area (SA) of a cube can be written as:
SA = 6s²
From here we can write, the length of the side s as:
![s= \sqrt{ \frac{SA}{6} }](https://tex.z-dn.net/?f=s%3D%20%5Csqrt%7B%20%5Cfrac%7BSA%7D%7B6%7D%20%7D%20)
For cube with surface area of 1200 square inches, the side length will be:
![s= \sqrt{ \frac{1200}{6} }=10 \sqrt{2}](https://tex.z-dn.net/?f=s%3D%20%5Csqrt%7B%20%5Cfrac%7B1200%7D%7B6%7D%20%7D%3D10%20%5Csqrt%7B2%7D%20%20)
inches
For cube with surface area 768 square inches, the side length will be:
![s= \sqrt{ \frac{768}{6} }=8 \sqrt{2}](https://tex.z-dn.net/?f=s%3D%20%5Csqrt%7B%20%5Cfrac%7B768%7D%7B6%7D%20%7D%3D8%20%5Csqrt%7B2%7D%20)
inches
The difference in side lengths of two cubes will be:
Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.
Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
<h3>What is an Algebraic Equation?</h3>
An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
Learn more about algebraic equations on:
brainly.com/question/2164351
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Answer:
14
Step-by-step explanation:
3x-8y
(3*10)-(8*2)
30-16
14