1. Adding all the responses together, we get the total number of responses is 24. The number of people who chose a genre that wasn't mystery was 7 for science fiction, 6 for history, and 3 for biographies. This means we will have 3 fractions before reducing. 7/24, 6/24, and 3/24. 7/24 is in simplest form, but 6/24 and 3/24 can be reduced. 6/24 can be 3/12 and 1/4. 3/24 can be 1/8. The answer will be to circle 7/24, 6/24, 3/12, 1/4, 3/24, or 1/8.
2. Plot the points given, and mirror them for point B and C to form the figure. When connecting them, the resulting figure should look extremely similar to the picture given.
Answer:
<u><em>y' = 1 / sinxcosx</em></u>
Step-by-step explanation:
<u>Given :</u>
y = sinx + cosx / sinx - cosx
<u>Applying quotient rule :</u>
y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -
cosx)²
y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²
y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²
y' = -2(sin²x + cos²x) / (sinx - cosx)²
y' = -2 / (sinx - cosx)²
y' = -2 / sin²x - 2sinxcosx + cos²x
y' = -2 / -2sinxcosx
<u><em>y' = 1 / sinxcosx</em></u> [⇒ Final answer]
Answer:
8 hours long
Step-by-step explanation:
3/4 of the race in 6 hrs
6 divided by 3 equals 2
so 1/4 is 2 hrs, 2/4 is 4 hrs, 3/4 is 6 hrs which means 4/4 the whole race would be 8 hrs
4 multiplied by 2 would give you 8
so the entire race was (8 hours long)
You would just subtract the numbers but keep the square root.
17 square root 17-9 square root 17=8 square root 17