X = 18°
cos 54° = sin 36°
cos 3 x = sin 2 x
cos ( 2 x + x ) = sin 2 x
cos 2 x cos x - sin 2 x sin x = 2 sin x cos x
( cos² x - sin² x ) cos x - 2 sin² x cos x = 2 sin x cos x / : cos x
( divide both sides by cos x )
cos² x - sin² x - 2 sin² x = 2 sin x
1 - sin² x - 3 sin² x - 2 sin x = 0
- 4 sin² x - 2 sin x + 1 = 0 substitution: u = sin x
- 4 u² - 2 u + 1 = 0
u = 2 -√20 / - 4
sin 18° = (√ 5 - 1 )/4 
cos 18° = √( 1² - ((√5 - 1)/4)²
cos 18° = (10+2√5)^(1/2) / 4
Answer:
Step-by-step explanation:
Answer:
14.52% are unicyclists
Step-by-step explanation:
First, we can use proportions to find the number of unicyclists at the convention. Since we know that the ratio of unicyclists to aerial artists is 9:11, and there are 88 aerial artists, we can set up the following equation:
If we cross multiply, we get that 11x = (88)(9). After we divide through by 11 to isolate x, we get that x = (8)(9) = 72
Second, we have to figure out the number of mimes at the convention to figure out the total number of people there. We know that the ratio of unicyclists to mimes is 3:14, and the number of unicyclists is 72. So, we can set up the following proportion:
If we cross multiply, we get that 3y = 1008, or y = 336 mimes
The total number of people at the convention is 336 mimes + 72 unicyclists + 88 unicyclists = 496. Now we have to figure out what percent of 496 is 72 (the number of unicyclists). If we let z = the percentage, we can simply set up an equation that says that 72 is z% of 496:
This means that approximately 14.52% of the performers are unicyclists.
Answer: I’m wasnt sure if u r supposed to round up. I assumed that we round down at the hundredth decimal cuz money. Also, make sure to include money signs when you write the numbers down.
A. 42.57
b. 50.96
C. 49.44
D. 63631.44
E. 127.05
F. 3805.49
G. 3.76
H. 2687.61
I. 9526.21
J. 3453.78
Step-by-step explanation:
A. 30 x 1.419= 42.57
B. 45 x 1.13250= 50.9625
C. 56/ 1.13250= 49.44812362
D. 478.90 x 132.87= 63631.443
E. 89.54 x 1.419= 127.05726
F. 5400/ 1.417= 3805.49682875
g. 500/ 132.87= 3.76307669
H. 4500/ 1.67435= 2687.61011735
i. 5689.50 x 1.67435= 9526.214325
J. 458904/ 132.87= 3453.78189207
Answers: The correct choices are the first two choice.
The graph shown is an exponential graph. From the first point to the second, it increase from 100 to 150. This is a 50% increase. This pattern continues throughout the chart.
The first two choices give an increase of 50%. Or 1.5 times larger.
