If you ate half of the servings in this container, how many calories would you have consumed?
2 answers:
Answer:
920 calories
Step-by-step explanation:
I think that your question is referring to the Nutrition facts label in the attached image.
We know that there are 8 servings per container. So, if you ate half of the servings, you would be eating 1/2 × 8 servings = 4 servings
We can also establish that there are 230 calories per serving. The calories consumed when you eat 4 servings are:
4 serving × (230 cal/serving) = 920 cal
You would have consumed 920 calories.
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Where is the area of the regular hexagon
is the side length of the regular hexagon
Also, it's Perimeter is given by:
Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.
A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.
Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.
Let us now find the distance between the points D and E using the distance formula which is as:
Where is the distance.
and
are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance
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Applying the above formula we get:
We know that this distance is the side length of the given regular hexagon.
Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:
Thus, the area of the smaller hexagon will be:
unit squared
and the new smaller perimeter will be:
unit
Which are the required answers.
