Answer:
Step-by-step explanation:
x²-8x+ 14 =2x+7
x² - 8x +14 - 2x - 7 = 0
x² - 10x + 7 = 0
7/12 is closer to 0.583333
<u>Answer:</u> False
<u>Explanation / Counterexample:</u> Two lines in a 3-dimensional space can lie in two different planes.
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