Determine two angles between 0° and 360° that have a cosine of negative root3/2 without using a calculator
1 answer:
Answer:
150° and 210°
Step-by-step explanation:
1) to drow a circle with radius=1 in the system of coordinates like in the attached picture;
2) to mark point (-√3/2)≈-0.866 on X-axis (in the picture it is the point M);
3) to graph line AB through point M, the line AB || Y-axis and the points A and B are on the circle with radius=1;
4) to measure the angles ∠ROA and ∠ROB (the points are marked with red colour);
5) finally, m(∠ROA)=150°; m(∠ROB)=210°.
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Given that Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent.
Kimora's cell phone bill for one month is $52.
We need to determine the number of text messages Kimora sent for one month.
Also, we need to write and equation and solve it.
<u>The equation:</u>
Let x denote the number of text messages Kimora sent for one month.
Thus, the equation is given by
Therefore, the equation for the number of text messages Kimora sent for one month is
<u>Solving the equation:</u>
We need to solve the equation
Subtracting both sides of the equation by 35, we get;
Dividing both sides of the equation by 0.05, we get;
Therefore, the number of messages sent is 340.
Answer:
8,566,379,470 people
Step-by-step explanation:
Let's start simple. In order to find the population increase on January 1, 2006, we need to multiply 6,486,915,022 by 1.4% and add it to 6,486,915,022.
- 6,486,915,022*1.4% = 90,816,810.308
- 90,816,810.308+6,486,915,022 = 6,577,731,832.31 people on January 2006.
Note that the above two steps gives the same answer as 6,486,915,022*1.014.
So we need to do this for each year. 20 years pass between 1/1/2005 and 1/1/2025.
We need to do 6,486,915,022*1.014*1.014*1.014... 20 times.
This is equivalent to .
Multiplying it out gives us 8566379470.2 = 8,566,379,470 people.