Answer:
![(3\sqrt[5]{5} )^{x}](https://tex.z-dn.net/?f=%283%5Csqrt%5B5%5D%7B5%7D%20%29%5E%7Bx%7D)
Step-by-step explanation:
Given that
![\sqrt[5]{1215^{x} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B1215%5E%7Bx%7D%20%7D)
=>
Using radical rule
=> ![(3*3*3*3*3*5)^{\frac{x}{5} }](https://tex.z-dn.net/?f=%283%2A3%2A3%2A3%2A3%2A5%29%5E%7B%5Cfrac%7Bx%7D%7B5%7D%20%7D)
=> ![(3^{5} * 5 )^{\frac{x}{5} }](https://tex.z-dn.net/?f=%283%5E%7B5%7D%20%2A%205%20%29%5E%7B%5Cfrac%7Bx%7D%7B5%7D%20%7D)
=> ![(3^{5*\frac{1}{5} } * 5 )^{x}](https://tex.z-dn.net/?f=%283%5E%7B5%2A%5Cfrac%7B1%7D%7B5%7D%20%7D%20%2A%205%20%29%5E%7Bx%7D)
=> ![(3*5^{\frac{1}{5} } )^{x}](https://tex.z-dn.net/?f=%283%2A5%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%20%29%5E%7Bx%7D)
=> ![(3\sqrt[5]{5} )^{x}](https://tex.z-dn.net/?f=%283%5Csqrt%5B5%5D%7B5%7D%20%29%5E%7Bx%7D)
Draw a rectangle and make 4 boxes in the shape ,then shade one box
Answer:
D. 96.9 square centimeters
Step-by-step explanation:
A=bh
11.4 x 8.5
=96.9 square centimeters.
Answer:
Option D.
![A =96\pi\ cm^2](https://tex.z-dn.net/?f=A%20%3D96%5Cpi%5C%20cm%5E2)
Step-by-step explanation:
The area of the circular bases is:
![A_c = 2\pi(a) ^ 2](https://tex.z-dn.net/?f=A_c%20%3D%202%5Cpi%28a%29%20%5E%202)
Where
is the radius of the circle
Then
![A = 2\pi(4) ^ 2](https://tex.z-dn.net/?f=A%20%3D%202%5Cpi%284%29%20%5E%202)
![A = 32\pi\ cm^2](https://tex.z-dn.net/?f=A%20%3D%2032%5Cpi%5C%20cm%5E2)
The area of the rectangle is:
![A_r=b * 2\pi r](https://tex.z-dn.net/?f=A_r%3Db%20%2A%202%5Cpi%20r)
Where
![b=8\ cm](https://tex.z-dn.net/?f=b%3D8%5C%20cm)
b is the width of the rectangle and
is the length
Then the area of the rectangle is:
![A_r=8 * 2\pi (4)](https://tex.z-dn.net/?f=A_r%3D8%20%2A%202%5Cpi%20%284%29)
![A_r=64\pi\ cm^2](https://tex.z-dn.net/?f=A_r%3D64%5Cpi%5C%20cm%5E2)
Finally the total area is:
![A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\](https://tex.z-dn.net/?f=A%20%3D%20A_c%20%2B%20A_r%5C%5C%5C%5CA%20%3D%2032%5Cpi%5C%20cm%5E2%20%2B%2064%5Cpi%5C%20cm%5E2%5C%5C%5C%5C)
![A =96\pi\ cm^2](https://tex.z-dn.net/?f=A%20%3D96%5Cpi%5C%20cm%5E2)
Answer:
Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000