Answer:
The portion of the volume of the cup that is filled with water is 
Step-by-step explanation:
step 1
Find the volume of the paper water cup
The volume of the cone is equal to

we have


substitute


step 2
If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water
Remember that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
In this problem the similar cone has half the height of the complete cone
so
The scale factor is equal to 1/2
therefore
The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

therefore
The portion of the volume of the cup that is filled with water is

Answer:
i hope this helps
Step-by-step explanation:
the pH of the solution is 5.74.
Answer:
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The domain=3</h2>
Step-by-step explanation:
Answer:
$20 per sweater.
Step-by-step explanation:
It is given that,
A store buys 7 sweaters for $42 and sells them for $182.
We need to find how much profit the store make per sweater.
The amount the store bought the sweaters fr is calculated as follows :
$182- $42 = $140
Profit the store made per sweater is given by :

Hence, the store will make $20 per sweater.
Provided the 2% interest rate. The interest itself over a period of 4 years, compounds to $300. Thus, the total interest plus the cost of the fitness equipment would be a total of, $4,050.