Answer:
6
Step-by-step explanation:
18×(3/6) = 918×(1/6) = 318×(2/6) = 6
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.
5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant.
So you are talking about one two angles that are in the first and third quadrants.
Step One
Find the Tangent of pi/4 using the unit circle as a reference.
Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)
That is the point where the opposite / adjacent = 0.707/0.707 = 1
Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)
Answer:
0.124
Step-by-step explanation:
![\frac{7.19}{58}](https://tex.z-dn.net/?f=%5Cfrac%7B7.19%7D%7B58%7D)
To divide the numbers, we need to remove the decimal point
To remove decimal point , we multiply top and bottom by 100
![\frac{719}{5800}](https://tex.z-dn.net/?f=%5Cfrac%7B719%7D%7B5800%7D)
Use long division. After using decimal point at the top we can include any number of zeros with 719
. 1 2 3 9
---------------------
5800 7190
5800
------------------------(subtract)
13900
11600
---------------------------(subtract)
2300 0
1740 0
--------------------------(subtract)
56000
52200
---------------------------(subtract)
3800 0
Division goes on ............
Estimate the quotient to 3 decimal places
Quotient = 0.124
Answer:
45% of students prefer vanilla ice cream.
Step-by-step explanation:
549 + 671 = 1220 total students
549 / 1220 = 0.45 or 45%
2^10=1024
(a^m)^n=a^(m*n)
------------------
(2^(10))^(-1/5)
=2^(-10/5)
=2^(-2)
=1/4 (As the inverse of 2^2 is 1/4)