Louis is competing in a trivia tournament and has the highest average after 5 rounds, with scores of 214, 231, 242, 223, and 270. In order to maintain this exact average, what must Louis score in the sixth round?
A
200
B
214
223
D
236
241

236

Step-by-step explanation:

Louis's average before the sixth round:

=(214+231+242+223+270)÷5

=1180÷5

=236

After the sixth round:

236=(214+231+242+223+270+unknown value) ÷6

236= (1180+unknown value) ÷6

Multiple both sides by 6

236X6=1180 + unknown value

1416=1180 + unknown value

1416 - 1180 = unknown value

Unknown value =236

i dony know

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47