Answer:
I can help you with this question.
Step-by-step explanation:
x = 30°.
The triangle drawn inside the circle is an equilateral and equiangular triangle which means that its three sides and its internal angles (that measure 60°) are equal.
To find x°:
First, we can see from the image that the tangent line to circle with arrows is formed a right angle, the angle of one side of the equilateral triangle, and the angle formed with the other side of the equilateral triangle, this three angles has to form 180° respect to the tangent line:
90° + 60° + y° = 180°
y° = 180° + 150°
y° = 30°
Second, the line in the right side of the equilateral triangle form an angle of 180°, so:
60° + z° = 180°
z° = 180° - 60°
z° = 120°
Finally, the triangle formed by this lines its internal angles are x°, y°, and z° and its sum is 180°, then:
x° + y° + z° = 180°
x° + 30° + 120° = 180°
x° + 150° = 180°
x° = 180° - 150°
x° = 30°
Answer:
Step-by-step explanation:
Given that:
A country population at any given time (t) is:
where;
P = population at any time t
k = positive constant
I = constant rate of immigration into the country.
Using the method of separation of the variable;
Taking integration on both sides:
By applying the exponential on both sides;
Assume
Then:
When time t = 0, The Total population of the country is also
C - I = kP₀
C = kP₀ + I
Substituting the value of C back into equation(1), we have:
Answer:
3ab+4a+4b
Step-by-step explanation:
Add like terms
5ab-2ab= 3ab
-b+5b= 4b
4a
Answer:
<h2>2.094</h2>
Step-by-step explanation:
34.90 : 100 = 0.3490
0.3490 × 6 = 2.094
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