Answer:
1. 3 9/20
2. 1.86
3. 3 63/80 < 3 11/20< 3 1/5
4 1/3 , .35, 2/5
5.2(5x+1)
6. 5f+4s
7. Yes it does because the number of steps the runner will take is 46,145. There is no decimal.
8. She sold more on Tuesday because the decimal 7/9= .777 repeating which is smaller than.85.
9. Yes it is in simplest form
10. No it is not
11. 12 more days
Answer:
r=13
Step-by-step explanation:
Using a savings interest calculator, I found that either way your savings grow by exactly $1,020.20, so they share the same interest.
32 is the constant because it doesn’t have a letter
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).
</span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).
</span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.
</span>
<span>I hope this helps! </span>
