Answer:
32.5
Step-by-step explanation:
The median is the number in the middle, since there are two numbers in the middle (31 and 34) you add them both and divide by two
31+34=65
65/2=32.5
7x12= 84
1+6=7
12=12
So the area is 84
Answer:
Tq for giving me free
Step-by-step explanation:
please mark me as brainlest
The area of a circle:
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
r - the radius, which is equal to half the diameter d
The first circle:
![d_1=6 \\ r_1=\frac{6}{2} = 3 \\ A_1=\pi \times 3^2=9\pi](https://tex.z-dn.net/?f=d_1%3D6%20%5C%5C%0Ar_1%3D%5Cfrac%7B6%7D%7B2%7D%20%3D%203%20%5C%5C%0AA_1%3D%5Cpi%20%5Ctimes%203%5E2%3D9%5Cpi)
The second circle:
the second circle has a diameter that is four times the diameter of the first circle.
![d_2=6 \times 4=24 \\ r_2=\frac{24}{2}=12 \\ A_2=\pi \times 12^2 = 144\pi](https://tex.z-dn.net/?f=d_2%3D6%20%5Ctimes%204%3D24%20%5C%5C%0Ar_2%3D%5Cfrac%7B24%7D%7B2%7D%3D12%20%5C%5C%0AA_2%3D%5Cpi%20%5Ctimes%2012%5E2%20%3D%20144%5Cpi)
The ratio of the area of the smaller cirlce to the area of the larger circle:
![\frac{A_1}{A_2}=\frac{9 \pi}{144 \pi}=\frac{9}{144}=\frac{9 \div 9}{144 \div 9}=\frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7BA_1%7D%7BA_2%7D%3D%5Cfrac%7B9%20%5Cpi%7D%7B144%20%5Cpi%7D%3D%5Cfrac%7B9%7D%7B144%7D%3D%5Cfrac%7B9%20%5Cdiv%209%7D%7B144%20%5Cdiv%209%7D%3D%5Cfrac%7B1%7D%7B16%7D)
The ratio is 1:16.
Answer:
![x^{\frac{7}{3} }](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B3%7D%20%7D)
Step-by-step explanation:
The given expression is
![\sqrt[3]{x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%20%7D)
There's a exponent which relates fractional exponents and roots, that is
![\sqrt[n]{x^{m} } = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
So, if we apply this property, the results would be
![\sqrt[3]{x^{7} }=x^{\frac{7}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%20%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B3%7D%20%7D)
Therefore, the right answer is the third choice ![x^{\frac{7}{3} }](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B3%7D%20%7D)