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vampirchik [111]
4 years ago
14

kim made two pies that were excatly the same size. the first pie was a cherry pie, which she cut into 6 equal slices. the second

pie was a pumpkin pie,which she cut into 12 equal slice. kim takes her pies to a party. people eat 3 slices of cherry pie and 6 slices of pumpkin pie. did people eat more cherry pie or punpkin pie?
Mathematics
2 answers:
Lapatulllka [165]4 years ago
6 0
If the cherry pie was cut into 6 equal slices, and only 3 slices are eaten that would leave a half(1/2)

if the pumpkin pirate was cut into 12 equal.slices and only 6 slices were eaten that would again, leave half of it left. (1/2)

the answer is they ate the same amount of pie, since half was eaten and left on each pie

hope this helps~~♡♡Chyna


Sunny_sXe [5.5K]4 years ago
6 0

Neither. It’s equal.

6 cherry = 12 pumkin

Ratio is 1c : 2p

3 cherry = 6 pumkin so they ate the same amount.

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This is a relatively complex problem and it took me a good 20 minutes to solve, I included a sketch I made myself while im solving this problem hope it helps with the explanation. (the dotted lines are my drawings, also I labeled the points just look at my graph)

Now to find <x, we can use the exterior angles theorem a couple of times.

<x=<p+<AGE

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Now use the theorem again to find <AGE

<AGE=<q+<BIG

Now use substitution for <q and for <AGE

<x=30 degrees+60 degrees+ <BIG

We put this to the side for now and try solve for <CHD which is not very difficult

<CHD=180-45-20=115

We can also clearly figure out <HFI using vertical angles theorem.

<HFI=<Y

Because they all form a triangle we can conclude that <y+<BIG=180 degrees-<FHI= 180-115=65 degrees

substitution again

<x+<y=30+60+<BIG+<HFI (remember <HFI = <y vertical angles theorem)

<x+<y=30+60+65 (remember how we did before these 2 angles adds up to 65?)

<x+<y=155 degrees

Now please don't hate me on this, I'm sure there is more efficient ways to explain this problem, this is just my way from trial and error.

<u>Tip for next time you are stuck on a geometry problem, don't be afraid to draw the graph again on paper and add lines to it!</u>

<u>You won't get everything perfect the first time you try but the more you practice the more comfortable you are with these problems, Hope my explanation helped!</u>

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**Just a note would you mind telling me where you got this problem form, its pretty challenging :)

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hoa [83]

C) The volume of the large cone is 3 times the volume of the small cone.

Step-by-step explanation:

Step 1:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius of the large cone is 1.5 inches and the height is 4 inches.

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Step 2:

Now, we determine the volume of the small cone.

The radius of the small cone is 1 inch and the height is 3 inches.

The volume of the small cone = \frac{\pi r^{2} h}{3} = \frac{(3.1415)(1^{2} )(3)}{3} = \frac{9.4245}{3} = 3.1415.

So the volume of the smaller cone is 3.1415 cubic inches.

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Now we divide the values on the volume of the large cone by the volume of the small cone.

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So the volume of the large cone is 3 times the volume of the small cone which is option C.

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