Answer:
This is a 30-60-90 triangle so you would do this formula:
Short side (opposite the 30 degree angle) = x.
Hypotenuse (opposite the 90 degree angle) = 2x.
Long side (opposite the 60 degree angle) = x√3.
Step-by-step explanation:
Answer:
Part A: 36%
Part B: It is repeating because it is infinite
Step-by-step explanation:
16 / 44 = 0.36363636...
Answer:
![\frac{(p + 2)m}{p}](https://tex.z-dn.net/?f=%5Cfrac%7B%28p%20%2B%202%29m%7D%7Bp%7D)
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
<em>The question shows a direct proportion between cups of rice and cups of water.</em>
<em>So, the first step is to get the proportionality constant (k)</em>
<em />
This is calculated using the following expression;
![m = k * p](https://tex.z-dn.net/?f=m%20%3D%20k%20%2A%20p)
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
![k = \frac{m}{p}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bm%7D%7Bp%7D)
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
![k = \frac{x}{p + 2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bx%7D%7Bp%20%2B%202%7D)
Equate both expressions of k; to give
![\frac{m}{p} = \frac{x}{p + 2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bp%7D%20%3D%20%5Cfrac%7Bx%7D%7Bp%20%2B%202%7D)
Multiply both sides by p + 2
![(p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}](https://tex.z-dn.net/?f=%28p%20%2B%202%29%20%2A%20%5Cfrac%7Bm%7D%7Bp%7D%20%3D%28p%20%2B%202%29%20%2A%20%20%5Cfrac%7Bx%7D%7Bp%20%2B%202%7D)
![(p + 2) * \frac{m}{p} =x](https://tex.z-dn.net/?f=%28p%20%2B%202%29%20%2A%20%5Cfrac%7Bm%7D%7Bp%7D%20%3Dx)
![x = (p + 2) * \frac{m}{p}](https://tex.z-dn.net/?f=x%20%3D%20%28p%20%2B%202%29%20%2A%20%5Cfrac%7Bm%7D%7Bp%7D)
![x = \frac{(p + 2)m}{p}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%28p%20%2B%202%29m%7D%7Bp%7D)
<em>Hence, the expression that represents the cups of water needed is </em>
<em></em>
The answer to this would be 1/5.
hope this helps