Answer:
x = 12
Step-by-step explanation:
The hexagonal tile given here is made up of 6 triangles with equal bases and heights.
So, area of hexagonal tile will be equal to 6 times the area of one triangle.
Therefore,

You can divide the field into two squares of area 2500 yd^2. The side of each of those will be √2500 = 50 yd.
The dimensions of the field are 50 yd by 100 yd.
Answer:
-1/4 or -0.25
Step-by-step explanation:
Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
Answer:
80.
Step-by-step explanation:
780÷9.75 = 80.
80 people can stay in the rental space.