Answer:
9.21ft
Step-by-step explanation:
Given data
L= 6ft
W= 8ft
H= 7ft
Let us find the diagonal of the side, this represents the longest size of pipe the box can take
z^2= L^2+ H^2
z^2= 6^2+ 7^2
z^2= 36+49
z^2= 85
z= √85
z= 9.21ft
Hence the 12ft cannot fit into the box
the length of pip that can fit is 9.21ft
Answer:
(2, 11/2)
Step-by-step explanation:
This is a vertical parabola; we know that because x is squared here, while y is not. The standard equation of a vertical parabola with vertex (h,k) is
4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus. Comparing
4p(y-k) = (x-h)^2 to
10(y-3) = (x-2)^2, we see that 4p = 10. Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.
Since the coordinates of the vertex are easily read from the given equation
(x-2)^2=10(y-3): (h,k) = (2, 3)
all we need to do is to add p (5/2) to the y-coordinate (3);
The focus is at (2, 3 + 5/2), or (2, 11/2).
Answer:
(5, 5 )
Step-by-step explanation:
A translation of 4 units left means subtract 4 from the x- coordinate
A translation of 4 units up means add 4 to the y- coordinate.
(9, 1 ) → (9 - 4, 1 + 4 ) → (5, 5 )
Answer:
240
Step-by-step explanation:
4*6*5*2=240 different combinations
Answer: for total order (T*7)+12= $40
for a single person = 1*7+12= $19
Step-by-step explanation:
T= number of tickets
also equals depending on scenario
T= 4 number of friends and himself
