The ratio House blend/Organic Free Trade blend is the same and must remain the same.
So, the proportion is:
![\frac{140}{168}=\frac{130}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B140%7D%7B168%7D%3D%5Cfrac%7B130%7D%7Bx%7D)
Where x is the unknown amount of the Organic Free Trade blend.
So, from the proportion, we have:
![\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20140%5Ccdot%20x%3D168%5Ccdot130%20%5C%5C%20140x%3D21840%20%5C%5C%20%5Cfrac%7B140x%7D%7B140%7D%3D%5Cfrac%7B21840%7D%7B140%7D%20%5C%5C%20x%3D156%20%5Cend%7Bgathered%7D)
Answer: 156 pounds of Organic Free Trade blend
Answer:
1/2
Step-by-step explanation:
Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.
With this information we can use the respective volume formulas.
Hemisphere:
πr^3
Cone:
πhr^2
Since h (height) = r we can say the cone volume equals:
πr^3
Now to find the ratio we divide the cone volume equation by the hemisphere volume equation
pi and r^3 cancels out from the division and we are left with
ratio = (1/3)/(2/3)
ratio = 1/2
2(m-27n) this is the answer
Area of the base = 1/2 * 10 * 5sqrt3 = 25 sqrt3
Total surface area = 25 sqrt3 + 3 * 1/2 * 10 * slant height = 214.5
25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3
h = (214.5 - 25sqrt3() / 15
= 11.41 cm to nearest hundredth