Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Answer:
all of them in the picture are equivalent
Step-by-step explanation:
Sorry if its wrong I think you missing some of the work but hope this helps!
Answer:
Future Value = $ 12528.15
Step-by-step explanation:
The depreciation is applied to the car annually. The value of the car after depreciation in "n" no. of years can be given by the following formula:
where,
Future Value = ?
Present Value = $ 24000
Depreciation Rate = 15% = 0.15
n = no. of years = 4
Therefore,
<u>Future Value = $ 12528.15</u>
3 cups for each student implies 3*48=144 cups for 48 students.
1 quarts is equivalent to 4 cups, 144 cups will give 144/4 = 36 quarts.
Answer:
18
Step-by-step explanation:
if you do 35 minus 17 you would get 18
