Answer:
![\large\boxed{D.\ 2x^2y\sqrt[5]{7xy^3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BD.%5C%202x%5E2y%5Csqrt%5B5%5D%7B7xy%5E3%7D%7D)
Step-by-step explanation:
![\sqrt[5]{224x^{11}y^8}\\\\=\sqrt[5]{(32)(7)x^{5+5+1}y^{5+3}}\\\\\text{use}\ a^na^m=a^{n+m}\\\\=\sqrt[5]{(2^5)(7)x^5x^5x^1y^5y^3}\\\\\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=\sqrt[5]{2^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{y^5}\cdot\sqrt[5]{7xy^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=2\cdot x\cdot x\cdot y\cdot\sqrt[5]{7xy^3}\\\\=2x^2y\sqrt[5]{7xy^3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B224x%5E%7B11%7Dy%5E8%7D%5C%5C%5C%5C%3D%5Csqrt%5B5%5D%7B%2832%29%287%29x%5E%7B5%2B5%2B1%7Dy%5E%7B5%2B3%7D%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20a%5Ena%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%3D%5Csqrt%5B5%5D%7B%282%5E5%29%287%29x%5E5x%5E5x%5E1y%5E5y%5E3%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%5Bn%5D%7Bab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5Ccdot%5Csqrt%5Bn%5D%7Bb%7D%5C%5C%5C%5C%3D%5Csqrt%5B5%5D%7B2%5E5%7D%5Ccdot%5Csqrt%5B5%5D%7Bx%5E5%7D%5Ccdot%5Csqrt%5B5%5D%7Bx%5E5%7D%5Ccdot%5Csqrt%5B5%5D%7By%5E5%7D%5Ccdot%5Csqrt%5B5%5D%7B7xy%5E3%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%5C%5C%5C%5C%3D2%5Ccdot%20x%5Ccdot%20x%5Ccdot%20y%5Ccdot%5Csqrt%5B5%5D%7B7xy%5E3%7D%5C%5C%5C%5C%3D2x%5E2y%5Csqrt%5B5%5D%7B7xy%5E3%7D)
9 :
Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6
= > Perimeter of Rectangle = 2( base + height )
= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }
= > 88 / 2 = { x + 4 + x - 6 }
= > 44 = 2x - 2
= > 46 = 2x
= > 46 / 2 = x
= > 23 = x
Therefore,
Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units
Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units
10 :
Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4
Given that the sum of all integers is 36
= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36
= > x + x + 2 + x + 4 = 36
= > 3x + 6 = 36
= > 3x = 30
= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )
= > x = 10

Value of first integer = x = 10
The original price of the sweater is $80 which is 100% of the price.
If the price is reduced by 25%, then the new price is 75% of the original price since 100% - 25% = 75%.
Now we need to find 75% of $80.
To find a percent of a number, multiply the percent by the number.
To convert a percent into a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.
Here's how to change 75% into a decimal.
75% = 75/100 = 0.75
Here's how you calculate 75% of $80.
75% of $80 =
= 75% * 80
= 0.75 * $80
= $60
Answer: The sale price is $60.
<em>The answer is</em><em> $300</em><em>......</em>
From the Pythagorean Theorem, we know that a^2+b^2=c^2
28^2+21^2=(5x)^2
784+441=25x^2
1225=25x^2
49=x^2
x=7
The length of the hypotenuse would be 35m.