Example A means
For every #of felt pieces you multiply that by the cost of one piece of felt to see how much you spent
Example
Felts cost $3 a piece
You get 7 pieces
7 x 3= 21
You spent $21 on felt
(i) The scale factor is 6 because of the ratio between the 2 given corresponding sides.
I don't know the second part, but I hope this helps regardless.
Equivalent expressions are expressions that have the same value, and can be used interchangeably.
The result of the sum ![2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})](https://tex.z-dn.net/?f=2%20%28%5Csqrt%5B3%5D%7B16x%5E3y%7D%29%20%20%2B%204%20%28%5Csqrt%5B3%5D%7B54x%5E6y%5E5%7D%29)
is ![4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})](https://tex.z-dn.net/?f=4x%5Csqrt%5B3%5D%7B2y%7D%20%20%2B%208x%5E2y%5Csqrt%5B3%5D%7B2y%5E2%7D%29)
The expression is given as:
Rewrite the expression as:
![2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})](https://tex.z-dn.net/?f=2%20%28%5Csqrt%5B3%5D%7B16x%5E3y%7D%29%20%20%2B%204%20%28%5Csqrt%5B3%5D%7B54x%5E6y%5E5%7D%29%20%3D%202%20%28%5Csqrt%5B3%5D%7B2%5E4x%5E3y%7D%29%20%20%2B%204%20%28%5Csqrt%5B3%5D%7B3%5E3%20%5Ctimes%202x%5E6y%5E5%7D%29)
Evaluate the roots
![2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})](https://tex.z-dn.net/?f=2%20%28%5Csqrt%5B3%5D%7B16x%5E3y%7D%29%20%20%2B%204%20%28%5Csqrt%5B3%5D%7B54x%5E6y%5E5%7D%29%20%3D%202%20%282x%5Csqrt%5B3%5D%7B2y%7D%29%20%20%2B%204%20%283x%5E2y%5Csqrt%5B3%5D%7B2y%5E2%7D%29)
Open the brackets
![2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})](https://tex.z-dn.net/?f=2%20%28%5Csqrt%5B3%5D%7B16x%5E3y%7D%29%20%20%2B%204%20%28%5Csqrt%5B3%5D%7B54x%5E6y%5E5%7D%29%20%3D%204x%5Csqrt%5B3%5D%7B2y%7D%20%20%2B%2012x%5E2y%5Csqrt%5B3%5D%7B2y%5E2%7D%29)
The above expression cannot be further simplified.
Hence, the result of the sum is
Read more about equivalent expressions at:
brainly.com/question/2972832
Answer:
C) 12√2
Step-by-step explanation:
According to the 45-45-90 triangle x should be a√2 and since a = 12 (in this case) the answer is 12√2.
This would probably be B.
