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
Hey!
To solve this equation, we'd first have to apply the distributing rule to this equation.
<em>Original Equation :</em>
<em>New Equation {Changed by Applying the Distribution Rule} :</em>
· 3a · 2 +
And now we simplify.
<em>Old Equation :</em>
· 3a · 2 +
<em>New Equation {Old Equation Simplified} :</em>
- 12a + 4
<em>So, the equation
simplified is</em>
- 12a + 4.Hope this helps!
- Lindsey Frazier ♥
sorry stranger but you can't use tiles if you want to go and count your tiles on the floor of your house
Let the acute angle be 2x.
Its complement is 90 - 2x.
It is given that this complementary angle is less than each of the bisected angle.
Therefore, 90 - 2x < x
90 < 3x
or, x > 30.
2x > 60
Therefore, the statement is true for all angles that are greater than 60 degrees.
x is 6.
3 / 5 = 6 / 10
Where 10 / 5 = 2 then 2 * 3 = 6.
6 / 10 simplified by dividing both numerator and denominator by 2 will result to 3 / 5.
