Answer:
The smallest angle is 32 degrees
Step-by-step explanation:
The given parameters show that the triangle is a right angled triangle;
Let the two other angles be represented by x and y;
Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;
Scenario 1 (Calculating x)
Let opposite = 5 cm
Let adjacent = 8 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;
![Tan\ x = \frac{Opposite}{Adjacent}](https://tex.z-dn.net/?f=Tan%5C%20x%20%3D%20%5Cfrac%7BOpposite%7D%7BAdjacent%7D)
![Tan\ x = \frac{5}{8}](https://tex.z-dn.net/?f=Tan%5C%20x%20%3D%20%5Cfrac%7B5%7D%7B8%7D)
![Tan\ x = 0.625](https://tex.z-dn.net/?f=Tan%5C%20x%20%3D%200.625)
Take arctan of both sides
![x = tan^{-1}0.625](https://tex.z-dn.net/?f=x%20%3D%20tan%5E%7B-1%7D0.625)
![x = 32.0053832081](https://tex.z-dn.net/?f=x%20%3D%2032.0053832081)
(Approximated)
Scenario 2 (Calculating y)
Let opposite = 8 cm
Let adjacent = 5 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;
![Tan\ y = \frac{Opposite}{Adjacent}](https://tex.z-dn.net/?f=Tan%5C%20y%20%3D%20%5Cfrac%7BOpposite%7D%7BAdjacent%7D)
![Tan\ y = \frac{8}{5}](https://tex.z-dn.net/?f=Tan%5C%20y%20%3D%20%5Cfrac%7B8%7D%7B5%7D)
![Tan\ y = 1.6](https://tex.z-dn.net/?f=Tan%5C%20y%20%3D%201.6)
Take arctan of both sides
![y = tan^{-1}1.6](https://tex.z-dn.net/?f=y%20%3D%20tan%5E%7B-1%7D1.6)
![y = 57.9946167919](https://tex.z-dn.net/?f=y%20%3D%2057.9946167919)
(Approximated)
<em>By comparing the angles, the smallest angle is 32 degrees</em>
Combine like terms.
2x + 6 + 6x - 1
8x + 5
Answer:
There would be 20 jars of creamy peanut butter.
Step-by-step explanation:
You have 100 jars of peanut butter divide that by 100. That would give you the amount for 1%. Multiply that by 20 for the 20% which will give you your answer of 20.
100/100=1
1*20=20
Number of creamy peanut butter jars is 20.