What is the area of the composite figure whose vertices have the following coordinates?
2 answers:
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Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
Division is one of the basic mathematical operations. The cost of Brand A and B is the same.
<h3>What is division?</h3>The division is one of the most basic arithmetic operations. It is used to find the number of times a number is been added to itself.
Given to us
Brand A: 14 ounces for $44.66
Brand B: 20 ounces for $63.80
To compare the two brands we will find the cost of one ounce for each brand.
For Brand A,
The cost of 14 ounces is $44.66, therefore,
For Brand B,
The cost of 20 ounces is $63.80, therefore,
From the above two values, we can conclude that the cost of Brand A and B is the same.
Learn more about Division: