I think that the Equivalent fraction is 6/8
Answer with Step-by-step explanation:
f(1) = 160 and f(n + 1) = –2f(n)
⇒ f(2)= -2×f(1)
= -2×160
= -320
⇒ f(3)= -2×f(2)
= -2×(-320)
= 640
⇒ f(4)= -2×f(3)
= -2×640
= -1280
Hence, Value of f(4) is:
- 1280
Answer:
138 is the answer
Step-by-step explanation:
In order to find the perimeter, we use this formula
P=2(l+w)
And to find the width, we use this formula
w = P/2 - L = 18/2 - 3 = 6
So the width is 6
3 × 6 = 18
So thats why the perimeter of the top triangle is 18
We do 21 ÷ 3 = 7, 7 = scale factor
To find the perimeter of the bottom triangle, we do
the width of the top rectangle times 7
so 6 × 7 = 48
So the perimeter for the bottom triangle is
P=2(l+w)=2·(48+21)=138
Answer:
f(1) = -1
f(n) = f(n-1) -1
Step-by-step explanation:
The first term is -1. Each term is 1 less than the previous. These equations say that.
f(1) = -1
f(n) = f(n-1) -1
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)
