Answer:
56 degrees
Step-by-step explanation:
Because DF is a line that makes it 180 degrees we know that the other two angles on that line are are 60 and 64 now we can make an equation:
60 + 64 + x = 180
124 + x = 180
Subtract 124:
x = 56
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).
Basically, you just have to find the length of the rectangle that is 27 x 78 feet.
The equation for the diagonal:
d = sqrt(l^2+w^2)
l = 27
w = 78
plug them in and solve
d = sqrt ( (27^2) + (78^2) )
d = sqrt ( 729 + 6084 )
d = sqrt ( 6813 )
d <span>≈ 82.5
The ball traveled approximately 82.5 feet from one corner of the rectangular 27 x 78 foot field, diagonally to the other side.
Hope this helps</span>
Answer: The total cost is 
assuming the cost for 1 adult is 
and the cost for 1 child is 
Step-by-step explanation:
Assuming the cost for 1 adult is and the cost for 1 child is :
and 
Then the expression that gives the total cost 
is solved as:
