Answer:
See explanation
Step-by-step explanation:
1. Given the expression
![\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%20%7D)
Note that
![\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E5%7D%3Dx%5E%7B%5Cfrac%7B5%7D%7B7%7D%7D%20%5C%5C%20%5C%5C%5Csqrt%5B4%5D%7Bx%5E2%7D%3Dx%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
When dividing
by
we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

and the result is ![x^{\frac{3}{14}}=\sqrt[14]{x^3}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B3%7D%7B14%7D%7D%3D%5Csqrt%5B14%5D%7Bx%5E3%7D)
2. Given equation ![3\sqrt[4]{(x-2)^3} -4=20](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%3D20)
Add 4:
![3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%2B4%3D20%2B4%5C%5C%20%5C%5C3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%3D24)
Divide by 3:
![\sqrt[4]{(x-2)^3} =8](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D8)
Rewrite the equation as:

Hence,

Answer:
X=30, Scalene
Step-by-step explanation:
A circle is 360, The triangle is in the circle.
Part A:3x+30+2x+20+5x+10=360
10x+60=360
<u>-60=-</u><u>60</u>
10x=300
x=30
Part B:<em>Side BA</em><em> </em><em>is</em><em> </em><em>3</em><em>(</em><em>3</em><em>0</em><em>)</em><em>+</em><em>3</em><em>0</em><em>=</em><em>1</em><em>2</em><em>0</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Side</em><em> </em><em>BC</em><em> </em><em>is</em><em> </em><em>2</em><em>(</em><em>3</em><em>0</em><em>)</em><em>+</em><em>3</em><em>0</em><em>=</em><em>9</em><em>0</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Side</em><em> </em><em>AC</em><em> </em><em>is</em><em> </em><em>5</em><em>(</em><em>30</em><em>)</em><em>+</em><em>10</em><em>=</em><em>160</em>
All three sides are unequal
Algebra form: y1 - y2, and x1 - x2.
( 2 - 1 ) ( 6 - 3 ).
= 1/3.
slope = 1/3.
Answer:6.28 ft^2
Step-by-step explanation:
Diameter=4
Radius=diameter ➗ 2
Radius=4 ➗ 2
Radius=2
Area of semicircle=0.5xπx(radius)x(radius)
Area of semicircle=0.5x3.14x2x2
Area of semicircle=6.28 ft^2
Answer:
340 people in total
Step-by-step explanation:
If 45% of the people were children, then 100% - 45% = 55% of the people were adults
Equation : 55% of the people were adults
=> .55 * x = 187, x = the total amount of people
=>187/.55x
=> x = 340
340 people in total