Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
<h3>Linear scale factor</h3>
If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
<h3>Volume scale factor</h3>
The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
Answer:
10/4
Step-by-step explanation:
Randomthing2143 is right
Hey there! :)
Answer:
5.
Step-by-step explanation:
The pattern of this puzzle is to take the bottom two numbers of the triangle, find the sum, then divide by the top number. For example:
8 + 4 = 12 --> 12/3 = 4.
5 + 13 = 18 --> 18/6 = 3.
9 + 5 = 14 --> 14/2 = 7.
Therefore:
14 + 6 = 20 --> 20/4 = 5. The missing number is 5.
5) 1
6)1
7)b^6
8)x^20
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The <span>Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:
a=6 (the lenght of a side of the triangle).
b=13 (t</span>he lenght of a side of the triangle).<span>
c=x (the length of the third side).
Therefore:
c<a+b
c<6+13
c<19
The lenght of the third side is:
(13-6)<c<19
7<c<9</span>