Response:
I hope the image provided solves your query
Response:
2/9 = 0.22
Clarification:
There are two ways to select the first number that is odd and less than 5: 1 and 3.
For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.
Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:
4/18 = 2/9 = 0.22
Among the given options, number 3 is accurate. A line is classified as an undefined term since it represents something that lacks width or depth, yet it can extend infinitely in both directions, indicated by arrowheads.
Answer:
6216.66
Detailed explanation:
(8*40)+6%*×=$692; 320 + 0.6x = 692; 0.6x=692-320; 0.6x=373; x=373÷0.6; x=6216.66
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
