Answer:
The new volume will be 3 3/8 or maybe 27/8 of its original volume.
Step-by-step explanation:
Cone Volume = PI * radius^2 * height / 3
So if radius = 1 and height = 1 then volume = 1.0472
When radius = 3 and height = .375 then volume = 3.5343
Volume increases by 3.5343 / 1.0472 = 3 and 3/8
The final expression is 
Step-by-step explanation:
The expression that we have is
In order to solve the expression, we start by applying the distributive property to the bracket. We get:
Simplifying,
Now we add the two terms in x, and we find:
Which is the final expression.
Learn more about expressions:
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No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
What is the question? If it is how long is the total hike, then 17+2=19 (that’s half way).
19x2 =38. 38k is the total round trip of the hike.
