Answer:
Step-by-step explanation:
Since the formula for the area of a square is A = x^2, where x is the side length, x = √A.
If A = 64 square units, the side length is √64 units (8 units)
If A = 36 square units, that length is √36 units (6 units)
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
Answer:
5.781 inches.
Step-by-step explanation:
Since Mr. Jimerson records the amount of snowfall that the local area recieves, recording the following data: 12 am-1am: 0.3 inches | 1 am-2am: 0.8 inches | 2 am-3am: 1.36 inches | 3 am-4am: 2.019, if the total amount of snowfall at 7am is 7.8 inches, to determine how much snow fell between 4 am-7am the following calculation must be performed:
7.8 - 2.019 = X
5.781 = X
Therefore, since the amount of snow accumulated at 7 am was 7.8 inches, the snowfall between 4 and 7 am was 5.781 inches.
<span>4x – 20 = 900
4x = 900+20
4x = 920
x = 920/4
x = 230
he earned $230
</span>
Yes it’s a rational number
