I got 110 because 35+35=70 and 180-70=110. I added 35 to 35 because it says that AB=AD, so they should make congruent angles. So add the 35+35 and work from there.
Answer:
k = -9
Step-by-step explanation:
When a number (coefficient) is next to a letter (variable) that means you multiply. To solve you would to the opposite, which is to divide.
-126 ÷ 14 = -9
So -9 is equal to k.
Hope that helps and have a great day!
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)
The answer is: 5/6 or 0.833333
Sure he is correct: proof: NOTE TAT 10HRS CORRESPOND TO 100%
1st week he worked 10 hrs, the 10% of 10 is 1 hr. Hence if he worked 11 hrs this week that means 10HRS (100%) + 1HR (10%) =110%