BC = 6 km
<u>/</u><u> </u> ACB = 34°
AC = ?
cos 34° = 
=> 0.829 = 
=> AC = 
=> AC = 7.23763570567
=> AC = 7 km
=> AC = 10 km
(nearest tenth)
<h3>Answer : 10 km</h3>
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Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
_____
<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
If starting out, there are 100 marbles and Zoe pulls out a 5 and doesn't replace it, then there are 99 marbles left to choose from. So, there are 9 digits 1-10 (not including #5) making the proportion you have left 9/99 which simplifies to 1/11
Answer:
Answer is $10,144.50
Step-by-step explanation:
15% of 220 =33
220- 33 = 187
8.5% of 187 =15.89
187+15.89=202.89
202.89 x 50 =10,144.50
