Answer: the two circles are the same but the big one is just 5 times the small circle.
Step-by-step explanation:
ANSWER
The slant height is 40cm.
EXPLANATION
The lateral area of a cone is given by:

where r=10cm is the radius of the circle and l is the slant height.
It was also given that, the lateral area is 400π cm²
We substitute the values to get,

We now divide both sides by 10π.
This implies that,


Hence the slant height is 40cm.
Answer:
A
Step-by-step explanation:
![\dfrac{1}{3}+\dfrac{3}{5}+\dfrac{2}{3}= \left[ \dfrac{1}{3}+\dfrac{2}{3} \right]+\dfrac{3}{5}\\\\\\=\dfrac{3}{3}+\dfrac{3}{5}\\\\\\=1+\dfrac{3}{5}\\\\\\=\dfrac{5}{5}+\dfrac{3}{5}\\\\\\=\dfrac{8}{5}\\\\\\=1\dfrac{3}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B3%7D%7B5%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%20%5Cleft%5B%20%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B2%7D%7B3%7D%20%5Cright%5D%2B%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B3%7D%2B%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5C%5C%3D1%2B%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B5%7D%2B%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B8%7D%7B5%7D%5C%5C%5C%5C%5C%5C%3D1%5Cdfrac%7B3%7D%7B5%7D)
The answer is 9! Hope this helps!