1. You got it right.
4π/9 x 180/π = 80°
2. To get a coterminal angle you start with your angle and then you add or subtract 360° (one cycle around the circle).
-123+360+360 = 597°
-123-360 = -483°
3. The angle is 215° from the point (1,0) on the unit circle. The angle 215° is between 180° and 270° so it is in quadrant 3.
<span>The answer is 0.00001267 m = 1.267 * 10^(-5) m. In scientific notation, the number is written as two factors - a number m from 0-10 and 10 raised to the n power: m x 10^n. 0.00001267 m = 1.267 x 0.00001 m. 0.00001 m = (0.1)^5 = 10^(-5). So: 0.00001267 m = 1.267 x 0.00001 m = 1.267 x (0.1)^5 m = 1.267 x 10^(-5) m.</span>
Answer:
71.6056
Step-by-step explanation:
c² = a² + b² - 2abcosC°
29² = 30² + 15² - 2(30)(15)cosC°
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056
Answer:
720
Step-by-step explanation:
If every person has to choose a different character, the first person to choose a character has 6 options, the second has 5, the third has 4, the fourth has 3, and the last person has only two options. Therefore, the total number of ways you can do this if all 5 people dress up as a different character is:

There are 720 ways.
Answer:
3,000 people
Step-by-step explanation:
Total number of people larger stadium can hold equals 4.5 times
people,
which equals 45,000 people.
Now,
it is given that larger stadium can hold 15 times more people than small stadium .
So, smaller stadium will hold 15 times less people than the larger stadium ,
Which equals ,
= 3,000 people.
Thus ,
Smaller stadium can hold a total of 3,000 people.