Answer:
- x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
- x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer
Step-by-step explanation:
Add √(82) -3sin(x) to both sides to get ...
2sin(x) = √82 -√72
Now, divide by 2 and find the arcsine:
sin(x) = (√82 -√72)/2
x = arcsin((√82 -√72)/2)
Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.
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In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.
Answer:
A cardioid
Step-by-step explanation:
A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.
The equation of vertical cardioid is
± 
Given the polar curve is
4 
This is an equation of vertical cardioid.
So, it represents a cardioid.
Answer:
676
Step-by-step explanation:
you just add them
The answer is: 12 centimeters.
The explanation is shown below:
1. By definition, all four sides of the square are equal and the diagonals are equal too.
2. Keeping the information above on mind, you know that AC and BD are equal:

3. Then, the length of BD is twice BE. So, you can calculate it as following:


4. Therefore, the lenght of AC is:

Congruent= the same shape and size.
area of the rectangle before it is divided=8*(area congruent rectangle)
area of the rectangle before it is dividide=8*(5 cm²)=40 cm²
Area of the rectangle before it is dividide=40 cm²