<span><span>Well, since we know that sin(x) = cos(90-x), we can transform the given into
2x - 8/3 = 90 - (4x - 10/3)
2x - 8/3 = 90 - 4x + 10/3
Now clear fractions by multiplying by three...
6x - 8 = 270 - 12x + 10
6x - 8 = 280 - 12x
18x = 288
x = 16
4x - 10/3 = 4(16) - 10/3 = 64 - 3.33 = 60.67 degrees.
Choice C.</span><span>
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<span>So we want to know what is the value of the car after three years if the car depricates in value for 48% and we know that the initial value of the car is 43900$. So if the price depricates for 48%, that means the new value is 52% of the initial value so: 43900$*0.52=22828$. So C is the correct answer.</span>
Answer:
A. Ratio boys to girls ---> 19 : 26
B. Ratio of 5th grade to 6th grade ---> 21 : 24
C. Ratio of girls to total number of chorus students ---> 26 : 45
Step-by-step explanation:
A. the amount of boys is 9 + 10, the amount of girls is 12 + 26
B. the amount of 5th graders is 12 + 9, the amount of 6th graders is 14 + 10
C. the number of girls is 12 + 14, and the number of chorus students is 12+9+14+10
<span> i'm going to be slightly extra careful in showing each step. specific, ln [n / (n+a million) ]= ln n - ln(n+a million). So, we've sum(n=a million to infinity) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) [ln n - ln(n+a million)] = lim(ok--> infinity) (ln a million - ln 2) + (ln 2 - ln 3) + ... + (ln ok - ln(ok+a million)) = lim(ok--> infinity) (ln a million - ln(ok+a million)), for the reason that fairly much all the words cancel one yet another. Now, ln a million = 0 and lim(ok--> infinity) ln(ok+a million) is countless. So, the sum diverges to -infinity. IM NOT COMPLETELY SURE
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