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)
Answer:
k = -64
Step-by-step explanation:
I'll assume that you meant "(1/4)k." Please use parentheses in cases such as this one.
Subtract 17 from both sides, obtaining (1/4)k = -16.
Multiply both terms of this result by 4 to eliminate the fraction 1/4:
k = -64
The empty cells in the table by determining all terms, constants, and coefficients for both algebraic expressions will be:
- Constant = -3
- Coefficient = -4, -5
<h3>How to illustrate the information?</h3>
In the first expression, the equation is given as 4a² - 5a - 3 while in the second expression, the equation is given as 7(-3x + 5) + 11y.
In this second expression, the term is 7(3x + 5), 11y. The constants are -7 and 5. Lastly, the coefficients are -3, and 11.
Learn more about tables on:
brainly.com/question/3632175
#SPJ1
The correct answer should be 1.22727 and repeating you could round to 1.23. The incorrect way they did it was they put 27 h instead of 22h and divided 27 by 27 instead of 27 by 22.
Answer:
Reflecting it over line L again
Step-by-step explanation:
This is too simple to explain in detail,
if you flip it over, flip it over again.
