Answer:
The ratio of the areas of the design and the poster is
(12*9):(48*36) = 1:16
Divide 2 by both sides and you will get the simplified equation of
|x-2| is greater than or equal to 3
Answer: Step 1: Reverse the signs of
expression.
Step 2: Removing parenthesis
Step 3: Grouping like terms
Step 4: Combing like terms
Step 5: Writing the final expression in standard form
Step-by-step explanation: First expression :
Second expression :
.
We need to subtract
from
.
Step 1: Reverse the signs of
expression.

Step 2: Removing parenthesis

Step 3: Grouping like terms
![[-3x^3) + (-6x^3)] + [4x + 2x] + [(-7) + (-3)] + [5x^2]](https://tex.z-dn.net/?f=%5B-3x%5E3%29%20%2B%20%28-6x%5E3%29%5D%20%2B%20%5B4x%20%2B%202x%5D%20%2B%20%5B%28-7%29%20%2B%20%28-3%29%5D%20%2B%20%5B5x%5E2%5D)
Step 4: Combing like terms

Step 5: Writing the final expression in standard form

Answer:
65.4 cm²
Step-by-step explanation:
The volume of a cuboid is calculated by multiplying the length, base, and height together. Since a cube has equal sides, the formula for the volume of a cuboid can be simplified as shown below.
Volume of cube
= side ×side ×side
= side³
Given that the volume is 36 cm³, let's find the length of each side.
side³= 36
Cube root both sides:
side=![\sqrt[3]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B36%7D)
Total surface area of a cube is the sum of the surface areas of its 6 identical square faces.
Area of a square
= side ×side
= side²
Surface area of 1 face= ![(\sqrt[3]{36})^2](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B36%7D%29%5E2)
Total surface area
= ![6(\sqrt[3]{36} )^2](https://tex.z-dn.net/?f=6%28%5Csqrt%5B3%5D%7B36%7D%20%29%5E2)
= 65.416 (5 s.f.)
= 65.4 cm² (nearest tenth)
Additional:
To learn more about surface area of cube, do check out the following!
Answer:
4
Step-by-step explanation:
two plus two equals four