Answer:
25pi. 36pi
10pi. 12pi
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9pi. 49pi
6pi. 14pi
Answer:
193 in
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is the base area multiplied by the wedge, that is:

The base area is one half times the triangle base times it's height, so:

The wedge of cheese is 7 inches tall.
This means that 
The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.
This means that 
Volume:

Rounding, approximately 193 in.
Answer:
64
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
make proportion giants to elves
120/144 = 90/x cross multiply
120x =144*90
120x =12960 divide by 120
x = 108
so if there are 90 giants in the theater there are 108 elves also
considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted
Answers:
Domain is 
Range is 
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Explanation:
The most money made from selling drinks is $150. Divide this over the cost per drink to get 150/(1.50) = 100; indicating that at most 100 drinks are sold per day. This is the largest that d can get because d represents the number of drinks sold.
The smallest d can get is d = 0 to mean that no drinks are sold.
In short: d is between 0 and 100, including both endpoints. We write
to indicate this. This is the domain because the domain represents all the possible inputs allowed.
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The range is the set of allowed outputs.
If we plugged in d = 0, then you would find F(d) = 0 as well. If you don't sell any drinks, then you earn $0. This is the smallest item in the range.
On the other side of things, the largest item in the range is 150 because this value was given to us. It's the upper limit or ceiling value of how much money is made from drinks. You can also find this by plugging d = 100, the largest domain value, into the function to get F(d) = 150.
Therefore the range is
to indicate that F(d) is between 0 and 150 inclusive of both endpoints.