Answer:
b
Step-by-step explanation:
because thats the answer
Answer:
The portion of the volume of the cup that is filled with water is ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
Step-by-step explanation:
step 1
Find the volume of the paper water cup
The volume of the cone is equal to
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we have
![r=6\ cm](https://tex.z-dn.net/?f=r%3D6%5C%20cm)
![h=12\ cm](https://tex.z-dn.net/?f=h%3D12%5C%20cm)
substitute
![V=\frac{1}{3}\pi (6)^{2}(12)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%286%29%5E%7B2%7D%2812%29)
![V=144\pi\ cm^{3}](https://tex.z-dn.net/?f=V%3D144%5Cpi%5C%20cm%5E%7B3%7D)
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
![V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}](https://tex.z-dn.net/?f=V%3D%281%2F2%29%5E%7B3%7D%28144%5Cpi%29%3D%281%2F8%29144%5Cpi%5C%20cm%5E%7B3%7D)
therefore
The portion of the volume of the cup that is filled with water is
![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
<h2>The length of each side of the equilateral traingle is 1/24 unit.</h2>
<u>Step-by-step explanation:</u>
Given that the perimeter of an equilateral triangle is 1/8 unit. With this information, we are asked to find the length of each side of yhe equilateral traingle.
The perimeter of equilateral traingle is defined as the three times of the length of edge. Mathematically;
→ Perimeter = 3a
By substituting the given values in the formula, we get the following results:
→ 1/8 = 3a
→ a = 1/24
Hence, the length of each side of the equilateral traingle is 1/24 unit.
<u>Additional information:</u>
- A triangle has three sides or edges.
- A triangle has three angles.
- A triangle has three vertices or corners.
- The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.
- The sum of the length of any two sides of a triangle is greater than the length of the third side.
- There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.
- Area of triangle = 1/2 * b * h.
- Perimeter of triangle = sum of all sides.
Answer:
22.5 i think should be your answer
Answer:
1/2x +2
Step-by-step explanation:
Let's say there are 2 teams : A & B
A leads with x points, while B score 2 points less than half of B's score (x)
B = 1/2 of B score - 2
The difference of A - B = x - (1/2x - 2) = x - 1/2x + 2 = 1/2x + 2