Answer:
x = 5
Step-by-step explanation:
(10/3)/5 = (x+1)/9
(10/3)9 = 5(x+1)
90/3 = 5x + 5
30 = 5x + 5
25 = 5x
x = 5
A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x
- sin² x / sin x = - sin x
- sin x = - sin x ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity.
Answer:
D. y ≥ 0
Step-by-step explanation:
The range of the function refers to the possible y values which come under the limits of the function.
Here, we can see that no y values are less than 0.
Hence, the range of the function is :
D. y ≥ 0
Answer:
x = 8
Step-by-step explanation:
The sum of the exterior angles is 360 degrees
12x+62+ 66+ 77+59 = 360
Combine like terms
12x+264 = 360
Subtract 264 from each side
12x+264-264 = 360-264
12x =96
Divide by 12
12x/12 = 96/12
x=8
Answer:
33% off is the better deal
Step-by-step explanation:
1.33 times as much popcorn for the same price is equivalent to 1/1.33 ≈ 0.75 times the price for the original amount of popcorn. That price is equivalent to a sale of 1 - 0.75 = 0.25 = 25% off.
The sale price of 33% off is a better deal (if you don't want the extra popcorn).
