Answer:
840
Step-by-step explanation:
Rectangle JKLM:
p = 140 ft
w = 30ft
l = (140 - 2(30))/2 = 40ft
A = (30)(40) = 1200 ft²
Rectangle STUV:
l = 8yd = (8)(3) = 24 ft
24ft/40ft = 3/5
so . .
w = 3/5*30 = 18ft
A = 3/5*1200 = 720 ft²
Ratio of area JKLM:STUV = 1200/720 = 5/3
9514 1404 393
Answer:
Tn = -4n² +40n +36
Step-by-step explanation:
A graphing calculator readily performs the quadratic regression, yielding the formula ...
Tn = -4n² +40n +36
__
The first and second differences of the given sequence terms are ...
28, 20, 12 and -8, -8
The coefficient of the squared term is half the second difference, so is -4. Then the sequence of squared terms is -4n²:
-4, -16, -36, -64
Subtracting these values from the original sequence gives the linear sequence ...
76, 116, 156, 196
which has first term 76 and common difference 40. The equation for the n-th term of this is ...
an = 76 +40(n -1) = 36 +40n
Adding this linear sequence to the sequence of squared terms, we get ...
Tn = -4n² +40n +36
Set this function equal to zero and solve. You should get:
-2 and 1 + or - i√2