I am hesitant to provide a definite answer since I'm not completely certain, but it's clear you can discard options C and D right away since the rate of change cannot be negative. Between options A and B, I would lean towards option B. I would have asked you to consider me the brainliest if I were correct, but I suspect this is for the IA4, where you're unable to check your grade... haha. Apologies, but I hope this assists you in some way!
Answer:
24
Step-by-step explanation:
Based on the logarithmic expressions given 
, we need to identify the value of 
By substituting x = a³, y = a⁷, and z = a⁻² into the logarithmic function , we will derive;
Therefore, the result of the logarithmic expression is 24
Assuming arcs are measured in degrees, let S represent the following sum:
S = sin 1° + sin 2° + sin 3° +... + sin 359° + sin 360°
By rearranging, S can be reformulated as
S = [sin 1° + sin 359°] + [sin 2° + sin 358°] +... + [sin 179° + sin 181°] + sin 180° +
+ sin 360°
S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] +... + [sin 179° + sin(360° – 179)°]
+ sin 180° + sin 360° (i)
However, for any real k,
sin(360° – k) = – sin k
Thus,
S = [sin 1° – sin 1°] + [sin 2° – sin 2°] +... + [sin 179° – sin 179°] + sin 180° + sin 360°
S results in 0 + 0 +... + 0 + 0 + 0 (... since sine of 180° and 360° are both equal to 0)
Therefore, S equals 0.
Each pair within the brackets negates itself, leading the sum to total zero.
∴ sin 1° + sin 2° + sin 3° +... + sin 359° + sin 360° equals 0. ✔
I hope this clarifies things. =)
Tags: sum summatory trigonometric trig function sine sin trigonometry
The initial height of the candle is 14.8 inches.
Answer:
The result is 26.4
Step-by-step explanation:
By taking 51.82 and subtracting 26.37, you arrive at 26.45, and when rounding this value to one decimal place, it becomes 26.4.
