Answer:
5: 1, 2, 4, 11, 22, 44
6: 1, 5, 25, 125
7: 1, 5, 17, 85
8: 1, 3, 13, 39
Looking for the area of a regular figure would be taking the longest side and the shortest side and multiply
Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
Comment: I think you got this in the wrong section but I’ll still answer it anyways.
Actual Answer: system of checks and balances
Step-by-step explanation: A system of checks and balances stops one branch of government from becoming too powerful.
Additional Note: I hope that this helps you and have a wonderful day!