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muminat
3 years ago
8

Last week, Carlos had completed 5/8 of The World of Math. This week, he worked hard earning energy points, and now he has comple

ted 7/8 of The World of Math. What fraction of The World of Math did Carlos complete this week?
Mathematics
2 answers:
Vika [28.1K]3 years ago
6 0
2/8. Because 5-7= 2. And you always keep the dominator if both dominators are the same number.

irina1246 [14]3 years ago
4 0
It would be 1 4/8 because 5 plus 7 equals 12.And 12 divided by 8 equals 1 remainder of 4.So, it would be 1 4/8

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krok68 [10]
We know that
1) Sandra can run a mile in 6 minutes-------> 6*60-----> 360 sec
2) 4 laps around the track equals 1 mile
so
4 laps around the track in 360 sec
1 lap in 360/4--------> 90 sec
3) the position of Sandra for t=90 sec must be equal to the point S (0,56)
I proceed to analyze each case for t=90 sec

case a) x(t)=-140 cos(pi*t/45)    y(t)=112 sin(pi*t/45)
x(t)=-140 cos(pi*90/45)------> -140
y(t)=112 sin(pi*90/45)-------> 0
the position is the point (-140,0)------> is not the point S

case b) x(t)=140 sin(pi*t/90)  y(t)=-112 cos(pi*t/90)

x(t)=140 sin(pi*90/90)------> 0
y(t)=-112 cos(pi*90/90)-------> 112
the position is the point (0,112)------> is not the point S
<span>
case c) x(t)=-70 sin(pi*t/45)  y(t)=56 cos(pi*t/45)
</span>x(t)=-70 sin(pi*90/45)------> 0
y(t)=56 cos(pi*90/45) -------> 56
the position is the point (0,56)------> is equal to the point S----> is the solution

case d) x(t)=70 cos(pi*t/90)  y(t)=-56 sin(pi*t/90)

x(t)=70 cos(pi*90/90)------> -70
y(t)=-56 sin(pi*90/90)-------> 0
the position is the point (-70,0)------> is not the point S

 therefore

the answer is the option C

x(t)=-70 sin(pi*t/45)  y(t)=56 cos(pi*t/45)


7 0
3 years ago
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