Answer:
d = 17.5499287748 inches or 17.5 inches to 1 decimal place
Step-by-step explanation:
find the diagonal line passing through the middle of the bottom rectangle:
a² + b² = c²
10² + 8² = c²
100 + 64 = 164
c² = 164
c = √164
c = 12.8062484729
find d:
a² + b² = c²
12² + 12.80624847298² = c²
144+ 164 = 308
c² = 308
c = √308
c = 17.5499287748
therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place
As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
Sin74 = Cos16
cause 16 + 74 = 90
Whenever the sum of two angles is equal with 90, the Sin of one is equal with the Cos of the other like :
Sin(30) = Cos(60)
and also
Tan(30) = Cot(60)
Step-by-step explanation:
Find the difference
3,621 - 1,836 = 1,785
They payed $1,785 dollars in the second installment.